Artykuły w czasopismach: „Bingham materials”

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Slatin, Craig, i Deborah Weinstock. "Honoring Eula Bingham: A Memorial Gathering During the Covid-19 Pandemic". NEW SOLUTIONS: A Journal of Environmental and Occupational Health Policy 31, nr 1 (20.02.2021): 72–88. http://dx.doi.org/10.1177/1048291121993454.

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Eula Bingham, a toxicologist who invigorated the Occupational Safety and Health Administration as its director and set stringent standards to protect workers from hazardous materials, died on 13 June 2020 in Cincinnati. Throughout Dr. Bingham’s long career, she insisted tirelessly that workers had the absolute right to be safe on the job. Her thoughtful and generous wisdom shaped the entire field of occupational safety and health. Her bold and courageous actions prevented countless illnesses and injuries in workers around the world. This article presents the edited transcript from a Virtual Memorial Remembrance of Eula Bingham.

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Dewald, Erlwine. "Der Bingham-Medaillenträger / The Bingham Medallist". Applied Rheology 2, nr 1 (1.03.1992): 72–73. http://dx.doi.org/10.2478/arh-1992-020117.

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Niezgoda, Stephen R., Eric A. Magnuson i Jared Glover. "Symmetrized Bingham distribution for representing texture: parameter estimation with respect to crystal and sample symmetries". Journal of Applied Crystallography 49, nr 4 (9.06.2016): 1315–19. http://dx.doi.org/10.1107/s160057671600649x.

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The quaternion Bingham distribution has been used to model preferred crystallographic orientation, or crystallographic texture, in polycrystalline materials in the materials science and geological communities. A primary difficulty in applying the Bingham distribution has been the lack of an efficient method for fitting the distribution parameters with respect to the material's underlying crystallographic symmetry or any statistical sample symmetry due to processing. This paper presents a symmetrized distribution, based on the quaternion Bingham, which can account for any general combination of crystallographic or sample symmetries. A numerical scheme is also introduced for estimating the parameters of the symmetrized distribution based on the well known expectation maximization algorithm.

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Deoclecio, Lucas H. P., Edson J. Soares, Hiranya Deka i Jean-Lou Pierson. "Bubble entrapment condition in Bingham materials". Journal of Non-Newtonian Fluid Mechanics 295 (wrzesień 2021): 104616. http://dx.doi.org/10.1016/j.jnnfm.2021.104616.

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Rajani, B., i N. Morgenstern. "On the yield stress of geotechnical materials from the slump test". Canadian Geotechnical Journal 28, nr 3 (1.06.1991): 457–62. http://dx.doi.org/10.1139/t91-056.

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There exists an important class of materials, e.g., debris, volcanic lava, sludges, and remoulded sensitive clays, that are known to behave like a Bingham fluid. One of the important properties of a Bingham fluid is the so-called yield stress, and it is usually determined using a coaxial viscometer apparatus. It would be impractical and cumbersome to use this apparatus for many of the materials referred to earlier, and we propose here to examine the use of the slump test. The slump test is used in the concrete industry to evaluate workability and consistency. A statical model is developed to explain the deformation mechanism, and it permits the determination of yield stress. The validity of the statical model is verified using published data on mortar and our own data on Devon silt. The yield stress obtained with the slump test is also compared with the undrained shear strength obtained using the fall cone test. Good agreement is found between the two values. Key words: Bingham fluid, yield stress, slump test, Devon silt.

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Frigaard, I. A., S. D. Howison i I. J. Sobey. "On the stability of Poiseuille flow of a Bingham fluid". Journal of Fluid Mechanics 263 (25.03.1994): 133–50. http://dx.doi.org/10.1017/s0022112094004052.

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The stability to linearized two-dimensional disturbances of plane Poiseuille flow of a Bingham fluid is considered. Bingham fluids exhibit a yield stress in addition to a plastic viscosity and this description is typically applied to drilling muds. A non-zero yield stress results in an additional parameter, a Bingham number, and it is found that the minimum Reynolds number for linear instability increases almost linearly with increasing Bingham number.

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He, Feng, Song Yang, Tianjiao Ren, Hongjie Bian i Haoran Li. "An Improved Bingham Model and the Parameter Identification of Coal (Rock) Containing Water Based on the Fractional Calculus Theory". Advances in Materials Science and Engineering 2021 (31.12.2021): 1–9. http://dx.doi.org/10.1155/2021/1996142.

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The rheological properties of coal (rock) containing water cannot be characterized by the traditional Bingham model. This problem was addressed in this study through theoretical analysis and experimental research. Based on fractional calculus theory, a fractional calculus soft element was introduced into the traditional Bingham model. An improved Bingham model creep equation and a relaxation equation were obtained through theoretical derivations. Triaxial creep experiments of coal (rock) with different moisture contents were conducted. The parameters of the improved Bingham model were obtained by the least-squares method. Conclusions are as follows: (1) in the improved Bingham model, the stage of nonlinear accelerated creep could be characterized by the creep curves of the soft element; (2) with the increasing moisture content of the coal (rock), the transient strain and the slope of the steady creep stage increased and the total creep time showed a decreasing trend; and (3) the parameters of the creep model were obtained by nonlinear fitting of experimental data, and the fitted curve could better describe the whole creep process. The rationality of the improved creep model was verified. It can provide a theoretical basis for the study and engineering analysis of coal (rock).

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Yigit, Sahin, i Nilanjan Chakraborty. "Influences of aspect ratio and wall boundary condition on laminar Rayleigh–Bénard convection of Bingham fluids in rectangular enclosures". International Journal of Numerical Methods for Heat & Fluid Flow 27, nr 2 (6.02.2017): 310–33. http://dx.doi.org/10.1108/hff-09-2015-0366.

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Purpose This paper aims to investigate the aspect ratio (AR; ratio of enclosure height:length) dependence of steady-state Rayleigh–Bénard convection of Bingham fluids within rectangular enclosures for both constant wall temperature and constant wall heat flux boundary conditions. A nominal Rayleigh number range 103 ≤ Ra ≤ 105 (Ra defined based on the height) for a single representative value of nominal Prandtl number (i.e. Pr = 500) has been considered for 1/4 ≤ AR ≤ 4. Design/methodology/approach The bi-viscosity Bingham model is used to mimic Bingham fluids for Rayleigh–Bénard convection of Bingham fluids in rectangular enclosures. The conservation equations of mass, momentum and energy have been solved in a coupled manner using the finite volume method where a second-order central differencing scheme is used for the diffusive terms and a second-order up-wind scheme is used for the convective terms. The well-known semi-implicit method for pressure-linked equations algorithm is used for the coupling of the pressure and velocity. Findings It has been found that buoyancy-driven flow strengthens with increasing nominal Rayleigh number Ra, but the convective transport weakens with increasing Bingham number Bn, because of additional flow resistance arising from yield stress in Bingham fluids. The relative contribution of thermal conduction (advection) to the total thermal transport strengthens (diminishes) with increasing AR for a given set of values of Ra and Pr for both Newtonian and Bingham fluids for both boundary conditions, and the thermal transport takes place purely because of conduction for tall enclosures. Originality/value Correlations for the mean Nusselt number Nu ¯ have been proposed for both boundary conditions for both Newtonian and Bingham fluids using scaling arguments, and the correlations have been demonstrated to predict Nu ¯ obtained from simulation data for 1/4 ≤ AR ≤ 4, 103 ≤ Ra ≤ 105 and Pr = 500.

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Philippov, G. G., A. I. Gorbunov i V. N. Kestelman. "New equation for fitting rheological data of bingham materials". Journal of Applied Polymer Science 49, nr 9 (5.09.1993): 1589–93. http://dx.doi.org/10.1002/app.1993.070490909.

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Yang, Zhiquan, Mao Chen, Yi Ding, Yi Yang, Yingyan Zhu, Yanhui Guo, Renchao Wang i in. "Influence of Coupling Effects of Time and Water-to-Cement Ratio on Rheological Properties of Bingham Cement Grouts". Advances in Materials Science and Engineering 2021 (23.10.2021): 1–10. http://dx.doi.org/10.1155/2021/5781753.

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Time and water-to-cement ratio have significant influences on rheology of cement grouts. In order to study effects of time and water-to-cement ratio on rheology of Bingham cement grouts, taking Bingham cement grouts widely used in practical engineering (cement grouts with water-to-cement ratio of 0.75–1.25) as research object, some rheological experiments of five cement grouts with water-to-cement ratio of 0.8, 0.9, 1.0, 1.1, and 1.25 were carried out at six moments of 0, 5, 10, 20, 30, and 60 minutes, respectively. Combining theoretical discussion with numerical analysis, influence of coupling effects of time and water-to-cement ratio on rheological properties of Bingham cement grouts was discussed. Results show that at the level of α = 0.05, time has a significant influence on plastic viscosity but has no significant influence on the yield stress of Bingham cement grouts. Water-to-cement ratio has a significant influence on both plastic viscosity and yield stress. Exponential models obtained by comprehensive analysis from statistical theory, practical applicability, and accuracy are the optimal models to describe quantitative change in the relationship of coupling effects of time and water-to-cement ratio on plastic viscosity and yield stress of Bingham cement grouts. The rheological equation considering coupling effects of time and water-to-cement ratio of Bingham cement grouts is constructed. Research achievements not only have certain theoretical significance to the development and improvement of fluid mechanics and theoretical system of penetration grouting but also provide theoretical support and technical reference for practical grouting engineering and also have certain practical significance for solving or improving the practical engineering problems.

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Baikov, V. I., i A. D. Chorny. "Withdrawing a Bingham viscoplastic fluid". Journal of Rheology 63, nr 6 (listopad 2019): 927–38. http://dx.doi.org/10.1122/1.5087536.

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Tirosh, J., D. Iddan i O. Pawelski. "The Mechanics of High-Speed Rolling of Viscoplastic Materials". Journal of Applied Mechanics 52, nr 2 (1.06.1985): 309–18. http://dx.doi.org/10.1115/1.3169046.

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In the present work a consideration is given to the speed effect on the mechanical performance of strip rolling process with time-dependent materials. The speed-governing dimensionless groups (Euler number and Bingham number) are identified. The suggested approach includes, in an upper bound sense (mixed with stress-equilibrium solutions), the dynamic stress distribution of a Bingham-like viscoplastic material, the speed-dependent energy dissipations, the self-heated surface temperature, and the associated material softening. All these effects are coupled and contributed for explaining the apparently puzzling empirical evidence showing reduction in the roll torque and separation force while increasing the rolling speed. For a relativelyl slow speed, the predicted roll separtion force matches very well an available experimental data as well as Kobayashi’s rigid-plastic finite element analysis. The predicted torque, however, is somewhat higher than the experiments, in particular when the roll-flatness correction is incorporated. The capability of forecasting the variation of roll force with various speeds (reaching high speeds), was checked versus Ford’s measurements and a satisfactory agreement is demonstrated.

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Chebbi, Rachid. "Bingham fluid contact line dynamics". Journal of Adhesion Science and Technology 30, nr 15 (22.03.2016): 1681–88. http://dx.doi.org/10.1080/01694243.2016.1158344.

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Li, Mengyuan, Peiyu Yan, Jianguo Han i Lijie Guo. "Which Is an Appropriate Quadratic Rheological Model of Fresh Paste, the Modified Bingham Model or the Parabolic Model?" Processes 10, nr 12 (5.12.2022): 2603. http://dx.doi.org/10.3390/pr10122603.

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The physical meaning and calculating process of the rheological parameters of two nonlinear rheological models, the parabolic model and the modified Bingham model, were compared. The fluidity test and a rheological experiment on cementitious materials were performed. The Couette inverse problem is a key issue in measuring and solving the rheological parameters of fresh cementitious materials. The solution of the Couette inverse problem based on the modified Bingham model is discontinuous when the coefficient of the quadratic term is equal to zero, resulting in a large deviation between the fitting curve and the rheological experimental data. The credibility of the rheological parameters of the pastes calculated based on the modified Bingham model is low. The formulas for calculating yield stress, fiducial differential viscosity and the degree of shear thickening or shear thinning of the parabolic model have been developed. The credibility of the rheological parameters of the pastes calculated based on the parabolic model is high. The flow performance of the paste can be clearly characterized by the rheological parameters calculated with the parabolic model.

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Bilal, Salma, Muhammad Arif, Muhammad Saleem Khan i Anwar-ul-Haq Ali Shah. "Characterization of Sodium and Potassium Nitrate Contaminated Polyaniline-Poly (Ethylene Oxide) Composites Synthesized via Facile Solution Casting Technique". Materials 12, nr 13 (5.07.2019): 2168. http://dx.doi.org/10.3390/ma12132168.

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Fabrication of composites by developing simple techniques can be an effective way to modify some properties of individual materials. The present study relates to facile synthesis of sodium nitrate (NaNO3) and potassium nitrate (KNO3) contaminated polyaniline (PANI) and poly (ethylene oxide) (PEO) composites without using any additives, plasticizers, or fibers. The physic-chemical and rheological properties of synthesized composites were analyzed. The composites showed enhancement in both storage and loss modules in comparison with the polymer matrices. The dynamic viscosity of the synthesized materials has inverse relation with that of temperature and shear stress. Rheological analysis reveals a continuous drop off in viscosity by increasing shear stress. The flow behavior was affected little by temperature. However, the overall results showed a shear thinning effect suggesting that polymer composites show non-Newtonian behavior. The addition of NaNO3 and KNO3 had a profound effect on shear viscosity of the materials, although the overall shear thinning behavior prevails. The PANI-PEO composite follows, as the first approximation models, both Bingham and modified Bingham models, while the salt contaminated system follows only the Bingham model. Both show shear stress values. The greater values of storage (G′) and loss (G″) modulus of composites than PANI-PEO blend suggests excellent elasticity, better stiffness, and good mechanical strength of the composites. Furthermore, the composites were more thermally stable than pure polymers.

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Alexandrou, Andreas N., Georgios C. Georgiou, Eva Athena Economides i Michael Modigell. "Determining True Material Constants of Semisolid Slurries from Rotational Rheometer Data". Solid State Phenomena 256 (wrzesień 2016): 153–72. http://dx.doi.org/10.4028/www.scientific.net/ssp.256.153.

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In this work we revisit the issue of obtaining true material constants for semisolid slurries. Therefore, we consider the circular Couette flow of Herschel-Bulkley fluids. We first show how true constants can be obtained using an iterative procedure from experimental data to theory and vice versa. The validity of the assumption that the rate-of-strain distributions across the gap share a common point is also investigated. It is demonstrated that this is true only for fully-yielded Bingham plastics. In other cases, e.g., for partially-yielded Bingham plastics or fully-yielded Herschel-Bulkley materials, the common point for the fully-yielded Bingham case provides a good approximation for determining the material constants only if the gap is sufficiently small. It can thus be used to simplify the iterative procedure in determining the material constants.

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Vuong, Thi-Hong-Nhi, Tso-Ren Wu, Chun-Yu Wang i Chia-Ren Chu. "Modeling the Slump-Type Landslide Tsunamis Part II: Numerical Simulation of Tsunamis with Bingham Landslide Model". Applied Sciences 10, nr 19 (30.09.2020): 6872. http://dx.doi.org/10.3390/app10196872.

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This paper incorporates the Bingham rheology model with the Navier–Stokes solver to simulate the tsunamis excited by a slump-type landslide. The slump is modeled as the Bingham material, in which the rheological properties changing from the un-yield phase to yield phase is taken into account. The volume of fluid method is used to track the interfaces between three materials: air, water, and slump. The developed model is validated by the laboratory data of the benchmark landslide tsunami problem. A series of rheological properties analyses is performed to identify the parameter sensitivity to the tsunami generation. The results show that the yield stress plays a more important role than the yield viscosity in terms of the slump kinematics and tsunami generation. Moreover, the scale effect is investigated under the criterion of Froude number similarity and Bingham number similarity. With the same Froude number and Bingham number, the result from the laboratory scale can be applied to the field scale. If the slump material collected in the field is used in the laboratory experiments, only the result of the maximum wave height can be used, and significant errors in slump shape and moving speed are expected.

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Melo, Malena, i Julian Eleutério. "Probabilistic Analysis of Floods from Tailings Dam Failures: A Method to Analyze the Impact of Rheological Parameters on the HEC-RAS Bingham and Herschel-Bulkley Models". Water 15, nr 16 (8.08.2023): 2866. http://dx.doi.org/10.3390/w15162866.

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The difficulty in determining the rheological characteristics of tailings inside reservoirs as well as their intrinsic variability adds uncertainty to tailings dam failures in flood studies. Uncertainty propagation in non-Newtonian hydrodynamic models stands as a great scientific challenge. This article explores the sensibility of tailings dam breach flood mapping to rheological parameters in Bingham and Herschel-Bulkley (H-B) models. The developed approach was based on the probabilistic Latin Hypercube Sampling of rheological parameters. It was automated to propagate uncertainty throughout multiple hydrodynamic simulations using the HEC-RAS v.6.1 software. Rheological parameter ranges and distributions were based on a broad bibliographic review. Bingham models were revealed to be more sensitive than H-B in terms of simulated min-max area values: for Bingham, flood areas, maximum depths, and arrival times varied by 17.9%, 9.3%, and 8.2%, respectively; for H-B, variations were 25.7%, 5.1%, and 3.9%. However, Bingham was less sensitive in terms of hydrodynamically associated probability: high probability ratios were related to a small range of simulated areas in Bingham, while H-B presented great variability. Finally, for each model, the parameters that affect uncertainty the most were identified, reinforcing the importance of determining them properly. Furthermore, the identified parameter ranges for both models should be valuable for defining variable value boundaries for flood sensitivity tests on specific tailings materials for other case studies. The automated algorithm can be used or adapted for specific tests with other hydrodynamic simulations.

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Lampaert, Stefan GE, i Ron AJ van Ostayen. "Load and stiffness of a hydrostatic bearing lubricated with a Bingham plastic fluid". Journal of Intelligent Material Systems and Structures 30, nr 20 (15.09.2019): 3056–65. http://dx.doi.org/10.1177/1045389x19873426.

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Using a smart fluid, for example, magnetorheological or electrorheological, in a hydrostatic bearing gives the possibility to actively change the bearing properties during operation. This work presents an analytical model to predict the load and stiffness of a planar hydrostatic bearing lubricated with a Bingham plastic fluid. The model is validated with the use of a numerical model that uses the Bingham–Papanastasiou regularization to achieve convergence. The model gives insight into the size of the operational range of the bearing and the load characteristic.

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Lampaert, Stefan G. E., i Ron A. J. van Ostayen. "Lubrication theory for Bingham plastics". Tribology International 147 (lipiec 2020): 106160. http://dx.doi.org/10.1016/j.triboint.2020.106160.

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Smyrnaios, D. N., i J. A. Tsamopoulos. "Squeeze flow of Bingham plastics". Journal of Non-Newtonian Fluid Mechanics 100, nr 1-3 (wrzesień 2001): 165–89. http://dx.doi.org/10.1016/s0377-0257(01)00141-0.

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Lv, Yiyan, Wei Zhu i Tingting Han. "Mechanism Underlying Bonding Water Film Effect on Rheological Parameters". Advances in Materials Science and Engineering 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/8451391.

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From experiments on bonding water of different slurries and the analysis of flow curves, the bilinear fluid model has been improved. The results showed that the rheological parameters correspond to physical processes at different stages of shear strain. As shear rate increases, slurries evolve from high-viscosity Bingham fluids to low-viscosity Bingham fluids. Specific surface area determines the number of edge-to-face arrangements; mineral composition influences the binding strength of each edge-to-face arrangement; and the volume fraction of particles regulates the distance between clay particles and number of edge-to-face arrangements.

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Bašić, Martina, Branko Blagojević, Chong Peng i Josip Bašić. "Lagrangian Differencing Dynamics for Time-Independent Non-Newtonian Materials". Materials 14, nr 20 (19.10.2021): 6210. http://dx.doi.org/10.3390/ma14206210.

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This paper introduces a novel meshless and Lagrangian approach for simulating non-Newtonian flows, named Lagrangian Differencing Dynamics (LDD). Second-order-consistent spatial operators are used to directly discretize and solve generalized Navier–Stokes equations in a strong formulation. The solution is obtained using a split-step scheme, i.e., by decoupling the solutions of the pressure and velocity. The pressure is obtained by solving a Poisson equation, and the velocity is solved in a semi-implicit formulation. The matrix-free solution to the equations, and Lagrangian advection of mesh-free nodes allowed for a fully parallelized implementation on the CPU and GPU, which ensured an affordable computing time and large time steps. A set of four benchmarks are presented to demonstrate the robustness and accuracy of the proposed formulation. The tested two- and three-dimensional simulations used Power Law, Casson and Bingham models. An Abram slump test and a dam break test were performed using the Bingham model, yielding visual and numerical results in accordance with the experimental data. A square lid-driven cavity was tested using the Casson model, while the Power Law model was used for a skewed lid-driven cavity test. The simulation results of the lid-driven cavity tests are in good agreement with velocity profiles and stream lines of published reports. A fully implicit scheme will be introduced in future work. As the method precisely reproduces the pressure field, non-Newtonian models that strongly depend on the pressure will be validated.

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Feys, Dimitri, Ronny Verhoeven i Geert De Schutter. "Evaluation of Time Independent Rheological Models Applicable to Fresh Self-Compacting Concrete". Applied Rheology 17, nr 5 (1.10.2007): 56244–1. http://dx.doi.org/10.1515/arh-2007-0018.

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Abstract Self-Compacting Concrete is a new type of concrete which is more liquid compared to traditional concrete and which does not need any form of external compaction. As a result this type of concrete is suitable for a new placing technique: pumping SCC from the bottom in the formwork and letting it rise in the formwork due to the applied pressure. In order to understand the phenomena occurring during pumping operations, the rheological properties of SCC must be investigated and controlled. Tests have been performed with two different rheometers, which are described in this paper. For the Tattersall Mk-II rheometer, a calibration procedure has been worked out to eliminate secondary flows in the rheometer. Test results indicate that SCC is a thixotropic liquid, having a yield stress, showing shear thickening and having varying properties in time due to the occurring chemical reactions. In this paper, the time dependent effects will not be described. When trying to apply a rheological model to the obtained results, only the modified Bingham model seems appropriate. Applying the Bingham model results in the generation of negative yield stresses while the Herschel-Bulkley model has a parameter with a variable dimension and has a major mathematical restriction. The rheological properties of fresh SCC can be described with the modified Bingham model. A suitable parameter to describe shear thickening is defined as the ratio of the second order term in the shear rate of the modified Bingham model to the linear term (= c/m).

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Yigit, Sahin, i Nilanjan Chakraborty. "Numerical investigation of aspect ratio influences on Rayleigh–Bénard convection of Bingham fluids in vertical cylindrical annuli". International Journal of Numerical Methods for Heat & Fluid Flow 29, nr 1 (7.01.2019): 251–79. http://dx.doi.org/10.1108/hff-03-2018-0101.

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Purpose This paper aims to conduct numerical simulations to investigate steady-state laminar Rayleigh–Bénard convection of yield stress fluids obeying Bingham model in rectangular cross-sectional cylindrical annular enclosures. In this investigation, axisymmetric simulations have been carried out for nominal Rayleigh number range Ra = 103 to 105, aspect ratio range AR = 0.25 to 4 (i.e. AR = H/L where H is the enclosure height and L is the difference between outer and inner radii) and normalised inner radius range ri/L = 0 to 16 (where ri is internal cylinder radius) for a nominal representative Prandtl number Pr = 500. Both constant wall temperature (CWT) and constant wall heat flux (CWHF) boundary conditions have been considered for differentially heated horizontal walls to analyse the effects of wall boundary condition. Design/methodology/approach The bi-viscosity Bingham model is used to mimic Bingham fluids for Rayleigh–Bénard convection of Bingham fluids in vertical cylindrical annuli. The conservation equations of mass, momentum and energy have been solved in a coupled manner using the finite volume method where a second-order central differencing scheme is used for the diffusive terms and a second-order up-wind scheme is used for the convective terms. The well-known semi-implicit method for pressure-linked equations algorithm is used for the coupling of the pressure and velocity. Findings It is found that the convective transport strengthens (weakens) with an increase in Ra (AR) for both Newtonian (i.e. Bn = 0) and Bingham fluids, regardless of the boundary conditions. Moreover, the strength of convection is stronger in the CWT configuration than that is for CWHF boundary condition due to higher temperature difference between horizontal walls for both Newtonian (i.e. Bn = 0) and Bingham fluids. The mean Nusselt number Nūcy does not show a monotonic increase with increasing Ra for AR = 1 and ri/L = 4 because of the change in flow pattern (i.e. number of convection rolls/cells) in the CWT boundary condition, whereas a monotonic increase of Nūcy with increasing Ra is obtained for the CWHF configuration. In addition, Nūcy increases with increasing ri/L and asymptotically approaches the corresponding value obtained for rectangular enclosures (ri/L → ∞) for both CWT and CWHF boundary conditions for large values of ri/L. It is also found that both the flow pattern and the mean Nusselt number Nūcy are dependent on the initial conditions for Bingham fluid cases, as hysteresis is evident for AR = 1 for both CWT and CWHF boundary conditions. Originality value Finally, the numerical findings have been used to propose a correlation for Nūcy in the range of 0.25 ≤ ri/L ≤ 16, 0.25 ≤ AR ≤ 2 and 5 × 104 ≤ Ra ≤ 105 for the CWHF configuration.

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Gukasyan, A. V., V. S. Kosachev i Ye P. Koshevoy. "Modeling viscous-plastic extrusion of oil-bearing materials pertaining to Bingham rheology". IOP Conference Series: Materials Science and Engineering 560 (10.07.2019): 012019. http://dx.doi.org/10.1088/1757-899x/560/1/012019.

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Zhong, Zuliang, Jiayong Li i Congying Bie. "Theoretical Approach to Predicting the Diffusion Radius of Fracture Grouting in Soil–Rock Mixtures". Applied Sciences 13, nr 8 (9.04.2023): 4730. http://dx.doi.org/10.3390/app13084730.

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Previously conducted studies have established that the soil–rock mixture in the Chongqing area has the characteristics of loose structure, poor stability, strong permeability, and so on. When building a tunnel in a soil–rock mixture stratum, it is necessary to reinforce the surface rock mass and surrounding rock by grouting to improve the safety of tunnel excavation. To study the diffusion mechanism of cement slurry (Bingham fluid) in soil–rock mixtures, based on the Bingham fluid flow equation and slurry diffusion model, the Bingham fluid fracture diffusion formula was derived, and field grouting tests and indoor model tests were carried out with soil–rock mixtures in the Chongqing area as the research object. The fracture grouting diffusion formula was verified and analyzed using the test data. The research results show that the theoretical calculation results of various working conditions are close to the actual test results (the error of indoor model test results is less than 3%, and the error of field test results is less than 5%). A Bingham fluid fracture diffusion formula has been developed that applies to various working conditions of fracture grouting of soil–rock mixtures and has a good prediction effect on the value of the fracture diffusion radius.

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Fusi, Lorenzo, Angiolo Farina i Fabio Rosso. "Bingham flows with pressure-dependent rheological parameters". International Journal of Non-Linear Mechanics 64 (wrzesień 2014): 33–38. http://dx.doi.org/10.1016/j.ijnonlinmec.2014.03.016.

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Shih, Wei-Heng, i Leh-Lii Pwu. "Rheology of aqueous boehmite-coated silicon nitride suspensions and gels". Journal of Materials Research 10, nr 11 (listopad 1995): 2808–16. http://dx.doi.org/10.1557/jmr.1995.2808.

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The rheological properties of boehmite-coated silicon nitride aqueous suspensions and gels are reported. In unidirectional rheological tests, it was found that the boehmite coating reduces the viscosity of the suspensions over a wide range of shear rates and volume fractions of particles. The suspension shear stress as a function of shear rate can be described by the Bingham model, and the Bingham yield stresses of boehmite-coated silicon nitride suspensions are lower than those of the uncoated suspensions. The reduction in the viscosity and the Bingham yield stress is attributed to a shallower secondary minimum in the Derjaguin-Landau-Verwey-Overbeek (DLVO) potential between coated particles than that for uncoated silicon nitride particles. Moreover, at low values of pH, the coated silicon nitride suspensions gelled over time, and the viscoelastic behavior of the gels was studied by dynamic oscillatory tests. It was found that the shear modulus (G′) and loss modulus (G″) remain constant up to a certain strain amplitude, γ°, beyond which G′ and G″ begin to vary. The value of G′ in the linear region increases exponentially, whereas γ° decreases exponentially with the volume fraction of coated silicon nitride particles. The exponential behavior of the shear modulus G′ of the gels is similar to the exponential pressure-density relationship found in the previous pressure filtration study, indicating that particulate rearrangement occurs as volume fraction of particles is increased.

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30

He, Jian Min, Jin Huang i Cheng Liu. "Yield and Rheological Behaviors of Magnetorheological Fluids". Advanced Materials Research 97-101 (marzec 2010): 875–79. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.875.

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Magnetorheological (MR) fluids are materials that respond to an applied magnetic field with the change of their yield and rheological behaviors. In this paper, the yield and rheological behaviors of MR fluids are discussed. Based on the microstructure of magnetic chain a theoretical model is developed to analyze the effect of an applied magnetic field on the yield stress of MR fluids. Bingham model is used to describe the rheological behaviors of MR fluids subject to an applied magnetic field. The results show that altering the strength of an applied field can control the yield stress of MR fluids. The shear stress increases as the strength of an applied magnetic field increases, and it hardly changes with the increase of shear strain rate. MR fluids exhibit Bingham plastic model.

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31

Perrin, Gilles. "Homogenized Behavior Equations for Porous Bingham Viscoplastic Material". Journal of Engineering Mechanics 128, nr 8 (sierpień 2002): 885–88. http://dx.doi.org/10.1061/(asce)0733-9399(2002)128:8(885).

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32

Han, Y.-M., M.-S. Seong, S.-B. Choi i N. M. Wereley. "Damping force characteristics of electrorheological shock absorbers with different electrode designs". Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, nr 2 (1.02.2010): 293–304. http://dx.doi.org/10.1243/09544062jmes1665.

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This article presents the effect of electrode design parameters on the damping force of an electrorheological (ER) shock absorber for passenger vehicles. As a first step, an ER fluid is synthesized by dispersing arabic gum particles into non-conducting oil, and its field-dependent Bingham characteristics are experimentally evaluated. The Bingham model of the ER fluid is then formulated and incorporated with the governing equations of motion of the ER shock absorber. Subsequently, several ER shock absorbers are designed and manufactured with various electrode designs, which have three different electrode gaps, lengths, and materials, respectively. The field-dependent damping force of the manufactured shock absorbers is demonstrated in the time domain and compared with simulation results. In addition, the vibration control performance of a quarter-car suspension system is presented and compared with different electrode gaps and lengths.

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Fu, Yanbin, Xiuling Wang, Sizhan Zhang i Yong Yang. "Modelling of Permeation Grouting considering Grout Self-Gravity Effect: Theoretical and Experimental Study". Advances in Materials Science and Engineering 2019 (27.11.2019): 1–16. http://dx.doi.org/10.1155/2019/7968240.

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Self-gravity is one key parameter for behavior characterization of grout permeation and diffusion. This study proposes mathematical models for permeation grouting with consideration of grout self-gravity effect. The models concerning power law, Bingham, and Newtonian grouts are based on the generalized Darcy’s law and spherical diffusion theory. In addition, a prediction model of grout concretion dimension used for Bingham grout was developed. An analysis of the injection pressure distribution law and a comparative evaluation of diffusion radius considering self-gravity effect using established models were conducted subsequently. Moreover, grouting experiments were performed to check and verify the prediction model. The experimental results showed that injection pressure decreases linearly with increase of diffusion radius for the power-law grout, while nonlinear decrease of injection pressure was confirmed in Bingham and Newtonian grouts in this case. Three grouts approximately diffuse in an “ellipsoidal” shape, and it is confirmed that the diffusion radius is closely related to grout self-gravity. The Newtonian grout produces the maximum diffusion radius compared with the other two grouts whether the gravity effects were considered or not. The grout quantity under a smaller water-to-cement w/c ratio exhibits a significant difference and undergoes two increasing stages, whereas the quantity simply tends to be stable after it reaches its maximum in terms of the larger w/c ratios. The constructed dimension prediction model agrees well with the experimental results, which can be helpful for design and assessment of the grouting scheme.

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34

Giorgi, Claudio, i Angelo Morro. "Nonlinear Models of Thermo-Viscoelastic Materials". Materials 14, nr 24 (10.12.2021): 7617. http://dx.doi.org/10.3390/ma14247617.

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The paper develops a general scheme for viscoelastic materials, where the constitutive properties are described by means of measures of strain, stress, heat flux, and their time derivatives. The constitutive functions are required to be consistent with the second law of thermodynamics. Indeed, a new view is associated with the second law: the non-negative expression of the entropy production is set equal to a further constitutive function. The introduction of the entropy production as a constitutive function allows for a much wider range of models. Within this range, a scheme to obtain nonlinear models of thermo-viscoelastic materials subject to large deformations is established. Notably, the Kelvin–Voigt, Maxwell, Burgers, and Oldroyd-B viscoelastic models, along with the Maxwell–Cattaneo heat conduction, are obtained as special cases. The scheme allows also for modelling the visco-plastic materials, such as the Prandtl–Reuss work-hardening function and the Bingham–Norton fluid.

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35

Vasin, R. A., F. U. Enikev i M. I. Mazurski. "Applicability of Bingham-Type Constitutive Models for Superplastic Materials at Different Loading Conditions". Materials Science Forum 170-172 (październik 1994): 675–80. http://dx.doi.org/10.4028/www.scientific.net/msf.170-172.675.

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Mendes, P. R. S., M. F. Naccache, C. V. M. Braga, A. O. Nieckele i F. S. Ribeiro. "Flows of Bingham Materials Through Ideal Porous Media: an Experimental and Theoretical Study". Journal of the Brazilian Society of Mechanical Sciences 24, nr 1 (marzec 2002): 40–45. http://dx.doi.org/10.1590/s0100-73862002000100006.

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37

Amadei, B., i W. Z. Savage. "An analytical solution for transient flow of Bingham viscoplastic materials in rock fractures". International Journal of Rock Mechanics and Mining Sciences 38, nr 2 (luty 2001): 285–96. http://dx.doi.org/10.1016/s1365-1609(00)00080-0.

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Choi, S. B., Y. M. Han, J. W. Sohn i H. J. Choi. "Bingham characteristics of polymer-based electrorheological fluids with different electrode gaps and materials". Journal of Applied Polymer Science 114, nr 6 (15.12.2009): 3636–44. http://dx.doi.org/10.1002/app.31036.

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El-Dabe, Nabil T. M., Mohamed Y. Abou-Zeid, Mahmoud E. Oauf, Doaa R. Mostapha i Yasmeen M. Mohamed. "Cattaneo–Christov heat flux effect on MHD peristaltic transport of Bingham Al2O3 nanofluid through a non-Darcy porous medium". International Journal of Applied Electromagnetics and Mechanics 68, nr 1 (13.01.2022): 59–84. http://dx.doi.org/10.3233/jae-210057.

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The present investigation analyzes the influence of Cattaneo–Christov heat and mass fluxes on peristaltic transport of an incompressible flow. The fluid is obeying Bingham alumina nanofluid. The fluid flows between two co-axial vertical tubes. The system is expressed by a varying radially magnetic field with respect to the space. Soret effect and non-Darcy porous medium are taken into account. The governing system of equations is tackled by utilizing the approximations of long wave length with low Reynolds number and with the help of homotopy perturbation method (HPM). It is noticed that the axial velocity magnifies with an increase in the value of Bingham parameter. Meanwhile, the value of the axial velocity reduces with the elevation in the value of the magnetic field parameter. On the other hand, the elevation in the value of thermal relaxation time leads to a reduction in the value of fluid temperature. Furthermore, increasing in the value of mass relaxation time parameter makes an enhancement in the value of nanoparticles concentration. It is noticed also that the size of the trapped bolus enhances with the increment in the value of Bingham parameter. The current study has many accomplishments in several scientific areas like medical industry, medicine, and others. Therefore, it represents the depiction of the gastric juice motion in the small intestine when an endoscope is inserted through it.

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40

Rees, D. Andrew S. "The convection of a Bingham fluid in a differentially-heated porous cavity". International Journal of Numerical Methods for Heat & Fluid Flow 26, nr 3/4 (3.05.2016): 879–96. http://dx.doi.org/10.1108/hff-09-2015-0383.

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Purpose – The purpose of this paper is to determine the manner in which a yield stress fluid begins convecting when it saturates a porous medium. A sidewall-heated rectangular cavity is selected as the testbed for this pioneering work. Design/methodology/approach – Steady solutions are obtained using a second order accurate finite difference method, line relaxation based on the Gauss-Seidel smoother, a Full Approximation Scheme multigrid algorithm with V-cycling and a regularization of the Darcy-Bingham model to smooth the piecewise linear relation between the Darcy flux and the applied body forces. Findings – While Newtonian fluids always convect whenever the Darcy-Rayleigh number is nonzero, Bingham fluids are found to convect only when the Darcy-Rayleigh number exceeds a value which is linearly dependent on both the Rees-Bingham number and the overall perimeter of the rectangular cavity. Stagnation is always found in the centre of the cavity and in regions close to the four corners. Care must be taken over the selection of the regularization constant. Research limitations/implications – The Darcy-Rayleigh number is restricted to values which are at or below 200. Originality/value – This is the first investigation of the effect of yield stress on nonlinear convection in porous media.

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Mahmood, Rashid, Afraz Hussain Majeed, Qurrat ul Ain, Jan Awrejcewicz, Imran Siddique i Hasan Shahzad. "Computational Analysis of Fluid Forces on an Obstacle in a Channel Driven Cavity: Viscoplastic Material Based Characteristics". Materials 15, nr 2 (11.01.2022): 529. http://dx.doi.org/10.3390/ma15020529.

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In the current work, an investigation has been carried out for the Bingham fluid flow in a channel-driven cavity with a square obstacle installed near the inlet. A square cavity is placed in a channel to accomplish the desired results. The flow has been induced using a fully developed parabolic velocity at the inlet and Neumann condition at the outlet, with zero no-slip conditions given to the other boundaries. Three computational grids, C1, C2, and C3, are created by altering the position of an obstacle of square shape in the channel. Fundamental conservation and rheological law for viscoplastic Bingham fluids are enforced in mathematical modeling. Due to the complexity of the representative equations, an effective computing strategy based on the finite element approach is used. At an extra-fine level, a hybrid computational grid is created; a very refined level is used to obtain results with higher accuracy. The solution has been approximated using P2 − P1 elements based on the shape functions of the second and first-order polynomial polynomials. The parametric variables are ornamented against graphical trends. In addition, velocity, pressure plots, and line graphs have been provided for a better physical understanding of the situation Furthermore, the hydrodynamic benchmark quantities such as pressure drop, drag, and lift coefficients are assessed in a tabular manner around the external surface of the obstacle. The research predicts the effects of Bingham number (Bn) on the drag and lift coefficients on all three grids C1, C2, and C3, showing that the drag has lower values on the obstacle in the C2 grid compared with C1 and C3 for all values of Bn. Plug zone dominates in the channel downstream of the obstacle with augmentation in Bn, limiting the shear zone in the vicinity of the obstacle.

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He, Juan, Congmi Cheng, Xiaofen Zhu i Xiaosen Li. "Effect of Silica Fume on the Rheological Properties of Cement Paste with Ultra-Low Water Binder Ratio". Materials 15, nr 2 (12.01.2022): 554. http://dx.doi.org/10.3390/ma15020554.

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The effect of silica fume on the rheological properties of a cement–silica fume–high range water reducer–water mixture with ultra-low water binder ratio (CSHWM) was studied. The results indicate that the W/B ratio and silica fume content have different effects on the rheological parameters, including the yield stress, plastic viscosity, and hysteresis loop area. The shear-thickening influence of CSHWM decreased with the increased silica fume content. When the silica fume content increased from 0% to 35%, the mixture with W/B ratio of 0.19 and 0.23 changed from a dilatant fluid to a Newtonian fluid, and then to a pseudoplastic fluid. When the silica fume content was less than 15%, the yield stress was close to 0. With the increase of silica fume content, the yield stress increased rapidly. The plastic viscosity and hysteresis loop area decreased slightly with the addition of a small amount of silica fume, but increased significantly with the continuous increase of silica fume. Compared with the Bingham and modified Bingham models, the Herschel–Buckley model is more applicable for this CSHWM.

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43

Jeong, Sueng-Won. "Shear Rate-Dependent Rheological Properties of Mine Tailings: Determination of Dynamic and Static Yield Stresses". Applied Sciences 9, nr 22 (7.11.2019): 4744. http://dx.doi.org/10.3390/app9224744.

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In this paper, shear rate-dependent rheological properties of mine tailings taken from abandoned mine deposits prone to mass movements are examined using a commercial ball-measuring rheological system. The yield stresses (i.e., dynamic and static yield stresses) and viscosity of sand-rich materials are examined by the shear rate-controlled flow curve and time-dependent stress growth methods. Before yielding, the shear stress reaches a peak value (i.e., yield stress) observed for all flow curves. In the steady-state condition, the materials have a minimum shear stress (i.e., dynamic yield stress). The static yield stress can be determined under a constant applied shear rate with different initial values ranging from 10−4 to 10−1 s−1. As a result, the Bingham yield stress and viscosity can be used as a first approximation for estimating the debris flow mobility of post-failure materials. However, the Bingham yield stress is competitive with the static yield stress measured from stress growth methods. Upon comparison of the dynamic and static yield stresses, the static yield stress is approximately 35–45 times greater than the dynamic yield stress, and may be strongly related to microstructural changes (i.e., thixotropy). In this context, special attention must be paid to the determination of yield stresses in debris flow mitigation programs.

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Nagashima, Masayuki, Tomiichi Hasegawa i Takatsune Narumi. "Flow Behavior of Bingham Fluid in a Slot Die". Nihon Reoroji Gakkaishi 34, nr 2 (2006): 91–96. http://dx.doi.org/10.1678/rheology.34.91.

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Zhang, Guangneng, Yonggang Wang i Jusheng Ma. "Bingham plastic fluid flow model for ceramic tape casting". Materials Science and Engineering: A 337, nr 1-2 (listopad 2002): 274–80. http://dx.doi.org/10.1016/s0921-5093(02)00043-6.

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46

Pei, Pei, Yongbo Peng i Canxing Qiu. "Magnetorheological damper modeling based on a refined constitutive model for MR fluids". Journal of Intelligent Material Systems and Structures 33, nr 10 (26.10.2021): 1271–91. http://dx.doi.org/10.1177/1045389x211048231.

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A systematic modeling study is conducted to predict the dynamic response of magnetorheological (MR) damper based on a refined constitutive model for MR fluids. A particle-level simulation method is first employed to probe the microstructured behavior and rheological properties of MR fluids, based on which the refined constitutive model is developed. The constitutive model is further validated by comparing the predicted results with the data obtained from microscopic simulations and existing experiments. It is revealed that the proposed constitutive model has comparable accuracy and good applicability in representing MR fluids. Subsequently, a computational fluid dynamics (CFD) model is established to explore MR damper’s behavior by using the proposed constitutive model to describe the fluid rheology. For better capturing the dynamic hysteretic behavior of MR damper, a modified parametric model is developed by combing the Bingham plastic model and the proposed constitutive model. The modified model for MR damper shows its validity and superiority over the existing Bingham plastic models.

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Yang, Zhiquan, Dan Zhang, Chaoyue Li, Zhiwei Zhang, Yingyan Zhu, Yi Yang, Na He i in. "Column Penetration and Diffusion Mechanism of Bingham Fluid Considering Displacement Effect". Applied Sciences 12, nr 11 (25.05.2022): 5362. http://dx.doi.org/10.3390/app12115362.

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The diffusion progress of grout is hindered by groundwater, which means the diffusion distance cannot reach the designed values required in engineering for water plugging or reinforcement. In this study, based on the generalized Darcy’s law and the continuity equation of steady column penetration, a column diffusion mechanism for Bingham fluid, considering the displacement effect of grout on groundwater, is proposed. This diffusion mechanism is then validated by the penetration grouting experiments that have been previously performed. The influences of the grouting pressure, groundwater pressure, water–cement ratio and penetration coefficient of porous media on the diffusion radius are analyzed. Based on the Comsol Multiphysics platform, a three-dimensional numerical simulation program for this mechanism is developed using computer programming technology. Numerical simulations of the penetration and diffusion morphology of Bingham cement grout in porous media are then carried out. The results show that the theoretical calculation values of diffusion radius obtained from this mechanism are closer to the experimental values than those obtained from the column penetration grouting theory of Bingham fluid, without considering the displacement effect. The results of this study can provide theoretical support for practical grouting engineering.

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Yoshimura, A. S., i R. K. Prud'homme. "Response of an elastic Bingham fluid to oscillatory shear". Rheologica Acta 26, nr 5 (wrzesień 1987): 428–36. http://dx.doi.org/10.1007/bf01333843.

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Yun, Kyong Ku, Jong Beom Kim, Chang Seok Song, Mohammad Shakhawat Hossain i Seungyeon Han. "Rheological Behavior of High-Performance Shotcrete Mixtures Containing Colloidal Silica and Silica Fume Using the Bingham Model". Materials 15, nr 2 (6.01.2022): 428. http://dx.doi.org/10.3390/ma15020428.

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There have been numerous studies on shotcrete based on strength and durability. However, few studies have been conducted on rheological characteristics, which are very important parameters for evaluating the pumpability and shootability of shotcrete. In those studies, silica fume has been generally used as a mineral admixture to simultaneously enhance the strength, durability, pumpability, and shootability of shotcrete. Silica fume is well-known to significantly increase the viscosity of a mixture and to prevent material sliding at the receiving surface when used in shotcrete mixtures. However, the use of silica fume in shotcrete increases the possibility of plastic shrinkage cracking owing to its very high fineness, and further, silica fume increases the cost of manufacturing the shotcrete mixture because of its cost and handling. Colloidal silica is a new material in which nano-silica is dispersed in water, and it could solve the above-mentioned problems. The purpose of this research is to develop high-performance shotcrete with appropriate levels of strength and workability as well as use colloidal silica for normal structures without a tunnel structure. Thereafter, the workability of shotcrete with colloidal silica (2, 3, and 4%) was evaluated with a particle size of 10 nm and silica fume replacement (4 and 7%) of cement. In this study, an air-entraining agent for producing high-performance shotcrete was also used. The rheological properties of fresh shotcrete mixtures were estimated using an ICAR rheometer and the measured rheological parameters such as flow resistance and torque viscosity were correlated with the workability and shootability. More appropriate results will be focusing on the Bingham model properties such that the main focus here is to compare all data using the Bingham model and its performance. The pumpability, shootability, and build-up thickness characteristics were also evaluated for the performance of the shotcrete. This research mainly focuses on the Bingham model for absolute value because it creates an exact linear line in a graphical analysis, which provides more appropriate results for measuring the shotcrete performance rather than ICAR rheometer relative data.

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Estellé, Patrice, Christophe Lanos, Arnaud Perrot i Sofiane Amziane. "Processing the Vane Shear Flow Data from Couette Analogy". Applied Rheology 18, nr 3 (1.06.2008): 34037–1. http://dx.doi.org/10.1515/arh-2008-0009.

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Abstract A new procedure is described to convert the vane torque and rotational velocity data into shear stress vs shear rate relationships. The basis of the procedure consists in considering locally the sheared material as a Bingham fluid and computing a characteristic shear rate from Couette analogy. The approach is first applied to experimental vane data of Newtonian fluid, then used to process vane experimental data of non-Newtonian and yield stress materials. Results, which are favourably compared with torsional flow, show that the approach correctly predicts the rheological behaviour of the materials investigated.

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