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Journal articles on the topic 'Porous jump'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Li, Hong Hai, and Yang Yang Cheng. "Effect of Porous-Jump Model Parameters on Membrane Flux Prediction." Advanced Materials Research 734-737 (August 2013): 2210–13. http://dx.doi.org/10.4028/www.scientific.net/amr.734-737.2210.

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A three-dimensional computational fluid dynamics (CFD) simulation was performed to study the velocity distribution on membrane surface in membrane separation process, and the effect of face permeability, porous medium thickness, and pressure-jump coefficient of porous-jump model on membrane flux. The study shows that all the three factors have important impact on membrane flux. Membrane flux increases linearly with the increase of face permeability. When the membrane thickness is between 0.04~0.1mm, the membrane flux decreases with the increase of membrane thickness. The membrane flux decrease

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2

Avramenko, A. A., N. P. Dmitrenko, Yu Yu Kovetska, and E. A. Kondratieva. "FEATURES OF HEAT TRANSFER IN A FLAT POROUS MICROCHANNEL." Thermophysics and Thermal Power Engineering 42, no. 1 (2020): 12–18. http://dx.doi.org/10.31472/ttpe.1.2020.1.

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A steady heat transfer process of mixed convection in a flat vertical porous microchannel is considered. The results of simulation showed that Knudsen number effects are more significant in the neighborhood of the wall where growth of Knudsen numbers is accompanied with the velocity and temperature jumps on wall. With increasing parameter of porosity M (decreasing permeability), the flow velocity decreases and the velocity jump decrease as well. For all combinations of the criteria Ra, Kn and M increasing Knudsen number reduces heat transfer intensity. This can be attributed to inc

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3

Qiu, Li, Xiao-Dong Chen, Rui Wang, and De-Peng Wang. "Macro fluid analysis of laminated fabric permeability." Thermal Science 20, no. 3 (2016): 835–38. http://dx.doi.org/10.2298/tsci1603835q.

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A porous jump model is put forward to predict the breathability of laminated fabrics by utilizing fluent software. To simplify the parameter setting process, the methods of determining the parameters of jump porous model by means of fabric layers are studied. Also, effects of single/multi-layer fabrics and thickness on breathability are analyzed, indicating that fabric breathability reduces with the increase of layers. Multi-layer fabric is simplified into a single layer, and the fabric permeability is calculated by proportion. Moreover, the change curve of fabric layer and face permeability,

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4

Chen, Ming-Da, and Wang-Long Li. "Creeping Flow Relative to a Porous Spherical Shell." Journal of Mechanics 16, no. 3 (2000): 137–43. http://dx.doi.org/10.1017/s1727719100001799.

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ABSTRACTIn this study, the problem of creeping flow relative to an isolated porous spherical shell has been examined. The Brinkman-extended Darcy equations and the Stokes' equations are utilized to model the flow in the porous region (shell region) and free fluid region (inside the core and outside the shell), respectively. The stress jump boundary conditions at the porous media/free fluid interfaces are included and the exact solution has been found. The drag experienced by the porous shell has been discussed for various jump parameters and shell thickness.

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5

Djunur, Lutfi Hair, Muhammad S. Pallu, Riswal Karamma, and Bambang Bakri. "Effect of Porous Rectangular Type Baffle Block Angle on Hydraulic Jump Downstream of Spillway." Civil Engineering Journal 10, no. 10 (2024): 3173–93. http://dx.doi.org/10.28991/cej-2024-010-10-04.

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The elevation of the water surface upstream of the spillway structure increases significantly due to damming, leading to a rapid, supercritical flow downstream. This flow transitions from supercritical to subcritical, resulting in hydraulic jumps (Lj). The placement of a porous rectangular baffle block in the chute acts as an energy dissipator within the channel. This study aimed to investigate the effect of the angle of the porous rectangular baffle block on energy dissipation and hydraulic jumps downstream of the spillway structure. The experiment utilized a two-dimensional (2D) approach to

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6

Liu, Fang, and Bao Ming Chen. "Natural Convection in a Cavity Partially Filled with a Vertical Porous Medium." Advanced Materials Research 321 (August 2011): 15–18. http://dx.doi.org/10.4028/www.scientific.net/amr.321.15.

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The shear stress jump boundary condition that must be imposed at an interface between a porous medium and a free fluid in an enclosure is investigated. Two-domain approach is founded and finite element method is used to solve the problem. Three stress jump coefficients 0, 1, -1 are analyzed for different Rayleigh number, permeability and thickness of porous layer. Variation of Maximum stream function and Nusselt number show stronger convection and heat transfer when the stress jump coefficient is positive. There is little distinctive in flow and heat transfer when the value of coefficient is e

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7

Li, Wang-Long. "Derivation of Modified Reynolds Equation—A Porous Media Model." Journal of Tribology 121, no. 4 (1999): 823–29. http://dx.doi.org/10.1115/1.2834141.

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In this study, a porous media model is developed which can be applied to thin film lubrication problems. The microstructure of bearing surfaces is modeled as porous layers attached to the impermeable substrate. The Brinkman-extended Darcy equations and Stokes’ equations are utilized to model the flow in the porous region and fluid film region, respectively. The stress jump boundary condition at the porous media/fluid film interface and effects of viscous shear are included in deriving the modified Reynolds equation. The present model can correct and modify a previous study based on the Darcy m

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8

Angot, Philippe. "Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 5 (2018): 1875–911. http://dx.doi.org/10.1051/m2an/2017060.

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The global well-posedness in time is proved, with no restriction on the size of the data, for the Stokes/Brinkman and Stokes/Darcy coupled flow problems with new jump interface conditions recently derived by Angot et al. [Phys. Rev. E 95 (2017) 063302-1–063302-16] using asymptotic modelling and shown to be physically relevant. These original conditions include jumps of both stress and tangential velocity vectors at the fluid–porous interface. They can be viewed as generalizations for the multi-dimensional flow of Beavers and Joseph’s jump condition of tangential velocity and Ochoa-Tapia and Wh

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9

Zakirov, Timur R., and Maxim G. Khramchenkov. "Pore-scale investigation of the displacement fluid mechanics during two-phase flows in natural porous media under the dominance of capillary forces." Georesursy 22, no. 1 (2020): 4–12. http://dx.doi.org/10.18599/grs.2020.1.4-12.

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This paper presents the results of numerical simulations of two-phase flows in porous media under capillary forces dominance. For modeling of immiscible two-phase flow, the lattice Boltzmann equations with multi relaxation time operator were applied, and the interface phenomena was described with the color-gradient method. The objective of study is to establish direct links between quantitative characteristics of the flow and invasion events, using high temporal resolution when detecting simulation results. This is one of the few works where Haines jumps (rapid invasion event which occurs at m

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10

Zhanabaev, Z. Zh. "WIDTH OF ENERGY BAND GAP OF NANOPOROUS SEMICONDUCTOR FILMS." Eurasian Physical Technical Journal 17, no. 2 (2020): 39–44. http://dx.doi.org/10.31489/2020no2/39-44.

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The aim of this work is to experimentally clarify the reasons for the appearance of jumps in the current and memory of semiconductor nanoporous structures.Porous nanostructures were obtained by electrochemical etching. The current-voltage characteristics of the samples were measured for porous silicon and on thin films of a chalcogenide glassy semiconductor. The existence of jump-like switching and current hysteresis in porous silicon nanofilms under laser illumination is shown experimentally.A connection between the switching voltage values and the dependence of the band gap on the porosity o

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11

Yin, Chenguang, Liancun Zheng, Chaoli Zhang, and Xinxin Zhang. "Flow and Heat Transfer of Nanofluids Over a Rotating Porous Disk with Velocity Slip and Temperature Jump." Zeitschrift für Naturforschung A 70, no. 5 (2015): 351–58. http://dx.doi.org/10.1515/zna-2015-0031.

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AbstractIn this article, we discuss the flow and heat transfer of nanofluids over a rotating porous disk with velocity slip and temperature jump. Three types of nanoparticles – Cu, Al2O3, and CuO – are considered with water as the base fluid. The nonlinear governing equations are reduced into ordinary differential equations by Von Karman transformations and solved using homotopy analysis method (HAM), which is verified in good agreement with numerical ones. The effects of involved parameters such as porous parameter, velocity slip, temperature jump, as well as the types of nanofluids on veloci

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12

Panfilov, Mikhail, and Stéphane Zaleski. "Phenomenon of triple jump in propagation of microbial waves through porous media: Example of oil recovery." Physics of Fluids 34, no. 5 (2022): 056604. http://dx.doi.org/10.1063/5.0086504.

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We analyze the problem of injection of water with micro-organisms into an underground porous medium containing another fluid (oil or gas). The microbes produce a metabolite (a surfactant) that changes capillary and wetting properties between the fluids, which increases the oil mobility. We analyze the Riemann problem for balance equations, which has been reduced to a hyperbolic system of fourth degree. The fractional flow function (F) is assumed to be discontinuous with respect to the surfactant concentration, which provides us the opportunity to develop a qualitative theory of the process and

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13

Ayub, Nurafizalwani, Ramli Omar, Mohamad Deraman, Ibrahim Abutalib, Zalita Zainuddin, and Atiqah Abdul Aziz. "Characteristics of Porous Sb-Doped Barium Titanate Ceramics Fabricated by Adding Graphite." Advanced Materials Research 1107 (June 2015): 9–13. http://dx.doi.org/10.4028/www.scientific.net/amr.1107.9.

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Porous Sb-doped barium titanate (Sb-BaTiO3) ceramics were fabricated by adding various amounts of graphite powders. The density, structure, microstructure, porosity and electrical resistivity of the porous Sb-BaTiO3 ceramics produced without and with graphite were investigated. All the sintered ceramics showed a tetragonal perovskite structure, irrespective of the amount of graphite added. The porosity of the ceramics increased and the grain size decreased with increasing graphite addition which mainly due to the exothermic reactions of the graphite and oxygen molecules in the ceramics. The pr

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14

Zhou, Guo Li, and Zhen Ting Hou. "Stochastic generalized porous media equations with Lévy jump." Acta Mathematica Sinica, English Series 27, no. 9 (2011): 1671–96. http://dx.doi.org/10.1007/s10114-011-9194-8.

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15

Raees ul Haq, Muhammad, Ammarah Raees, Hang Xu, and Shaozhang Xiao. "Influence of Stress Jump Condition at the Interface Region of a Two-Layer Nanofluid Flow in a Microchannel with EDL Effects." Nanomaterials 13, no. 7 (2023): 1198. http://dx.doi.org/10.3390/nano13071198.

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The influence of stress jump conditions on a steady, fully developed two-layer magnetohydrodynamic electro-osmotic nanofluid in the microchannel, is investigated numerically. A nanofluid is partially filled into the microchannel, while a porous medium, saturated with nanofluid, is immersed into the other half of the microchannel. The Brinkmann-extended Darcy equation is used to effectively explain the nanofluid flow in the porous region. In both regions, electric double layers are examined, whereas at the interface, Ochoa-Tapia and Whitaker’s stress jump condition is considered. The non-dimens

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16

SRINIVASACHARYA, D., and M. KRISHNA PRASAD. "CREEPING FLOW PAST A POROUS APPROXIMATELY SPHERICAL SHELL: STRESS JUMP BOUNDARY CONDITION." ANZIAM Journal 52, no. 3 (2011): 289–300. http://dx.doi.org/10.1017/s144618111100071x.

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AbstractThe creeping flow of an incompressible viscous liquid past a porous approximately spherical shell is considered. The flow in the free fluid region outside the shell and in the cavity region of the shell is governed by the Navier–Stokes equations. The flow within the porous annular region of the shell is governed by Brinkman’s model. The boundary conditions used at the interface are continuity of the velocity, continuity of the pressure and Ochoa-Tapia and Whitaker’s stress jump condition. An exact solution for the problem and an expression for the drag on the porous approximately spher

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17

Rushi Kesava, A., and A. N. S. Srinivas. "Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel." Nonlinear Engineering 11, no. 1 (2022): 558–67. http://dx.doi.org/10.1515/nleng-2022-0247.

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Abstract This article is aimed to investigate the peristaltic pumping of a two-layered model in a two-dimensional channel. The core region occupies Casson fluid, while the porous medium occupies the peripheral region. The fluid flow in a porous medium was described with a suitable model using the Brinkman-extended Darcy equation. In the interface between fluid and porous medium, a shear stress jump boundary condition was applied. Closed-form solutions were obtained in both regions (core and peripheral). The physical quantities of peristaltic flow, such as axial velocity, pumping and change in

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18

SIERADZKI, A., A. CIZMAN, R. POPRAWSKI, T. MARCINISZYN, and E. RYSIAKIEWICZ-PASEK. "ELECTRICAL CONDUCTIVITY AND PHASE TRANSITIONS IN KDP- AND ADP-POROUS GLASS NANOCOMPOSITES." Journal of Advanced Dielectrics 01, no. 03 (2011): 337–43. http://dx.doi.org/10.1142/s2010135x11000471.

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The results of dielectric and dilatometric measurements of ADP and KDP-porous glass composites are presented. We stated on dilatometric studies that in ADP-porous glass nanocomposites the phase transition temperature decreases with decreasing of average size of pores. The negative jump of volume at phase transition region in ADP-porous glasses is observed. It was found that for KDP embedded into porous glasses nonmonotonous dependence of phase transition temperature on pores sizes occurs. The conductivity of ADP/KDP composites is significantly higher than in bulk crystals. The obtained values

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19

Prakash, Jai, and Chirala Satyanarayana. "Axisymmetric Slow Motion of a Porous Spherical Particle in a Viscous Fluid Using Time Fractional Navier–Stokes Equation." Colloids and Interfaces 5, no. 2 (2021): 24. http://dx.doi.org/10.3390/colloids5020024.

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In this paper, we present the unsteady translational motion of a porous spherical particle in an incompressible viscous fluid. In this case, the modified Navier–Stokes equation with fractional order time derivative is used for conservation of momentum external to the particle whereas modified Brinkman equation with fractional order time derivative is used internal to the particle to govern the fluid flow. Stress jump condition for the tangential stress along with continuity of normal stress and continuity of velocity vectors is used at the porous–liquid interface. The integral Laplace transfor

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20

Boodoo, Curtis. "Micropolar Fluid Flows Past a Porous Shell: A Model for Drug Delivery Using Porous Microspheres." European Journal of Engineering and Technology Research 9, no. 3 (2024): 1–7. http://dx.doi.org/10.24018/ejeng.2024.9.3.3162.

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The creeping flow of an incompressible, bounded micropolar fluid past a porous shell is investigated. The porous shell is modeled using a Darcy equation, sandwiched between a pair of transition Brinkman regions. Analytical expressions for the stream function, pressure, and microrotations are given for each region. Streamline patterns are presented for variations in hydraulic resistivity, micropolar constants, porous layer thickness, and Ochoa-Tapia stress jump coefficient. An expression for the dimensionless drag for the unbounded case of the system is presented, and its variation with hydraul

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21

Saad, E. I. "Axisymmetric motion of a spherical porous particle perpendicular to two parallel plates with slip surfaces." Canadian Journal of Physics 93, no. 7 (2015): 784–95. http://dx.doi.org/10.1139/cjp-2014-0549.

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A combined analytical–numerical approach to the problem of the low Reynolds number motion of a porous sphere normal to one of two infinite parallel plates at an arbitrary position between them in a viscous fluid is investigated. The clear fluid motion governed by the Stokes equation and the Darcy–Brinkman equation is used to model the flow inside the porous material. The motion in each of the homogeneous regions is coupled with the continuity of the velocity components, the continuity of the normal stress, and the tangential stress jump condition. The fluid is allowed to slip at the surface of

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22

Avramenko, A. A., M. M. Kovetskaya, Yu Yu Kovetska, and T. V. Sorokina. "HEAT TRANSFER DURING HEAT CARRIER FLOW IN A VERTICAL POROUS MICROCHANNEL." Thermophysics and Thermal Power Engineering 42, no. 1 (2020): 27–34. http://dx.doi.org/10.31472/ttpe.1.2020.3.

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Heat transfer with a steady flow of coolant in a vertical microchannel filled with a porous medium is considered. The influence of porosity, the slippage effect on the wall, and the Rayleigh number on heat transfer are analyzed. The simulation results showed that with an increasing of the porosity parameter M (decrease permeability), the flow velocity decreases, the velocity jump on the wall also decreases, and the velocity profile becomes more filled. With an increase in the Rayleigh number, the relative flow velocity decreases, the shape of the velocity profile changes, it becomes M-sh

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23

Min, Jung Yim, and Sung Jin Kim. "A Novel Methodology for Thermal Analysis of a Composite System Consisting of a Porous Medium and an Adjacent Fluid Layer." Journal of Heat Transfer 127, no. 6 (2005): 648–56. http://dx.doi.org/10.1115/1.1863273.

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An innovative methodology is presented for the purpose of analyzing fluid flow and heat transfer in a porous–fluid composite system, where the porous medium is assumed to have a periodic structure, i.e., solid and fluid phases repeat themselves in a regular pattern. With the present method, analytical solutions for the velocity and temperature distributions are obtained when the distributions in the adjacent fluid layer are allowed to vary in the directions both parallel and perpendicular to the interface between the porous medium and the adjacent fluid layer. The analytical solutions are vali

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24

Guo, Bo-ling, and Guo-li Zhou. "Exponential stability of stochastic generalized porous media equations with jump." Applied Mathematics and Mechanics 35, no. 8 (2014): 1067–78. http://dx.doi.org/10.1007/s10483-014-1845-7.

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25

Berjamin, Harold. "Nonlinear plane waves in saturated porous media with incompressible constituents." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2250 (2021): 20210086. http://dx.doi.org/10.1098/rspa.2021.0086.

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We consider the propagation of nonlinear plane waves in porous media within the framework of the Biot–Coussy biphasic mixture theory. The tortuosity effect is included in the model, and both constituents are assumed incompressible (Yeoh-type elastic skeleton, and saturating fluid). In this case, the linear dispersive waves governed by Biot’s theory are either of compression or shear-wave type, and nonlinear waves can be classified in a similar way. In the special case of a neo-Hookean skeleton, we derive the explicit expressions for the characteristic wave speeds, leading to the hyperbolicity

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26

Cardoso, Pedro, Renato de Paula, and Patrícia Gonçalves. "Derivation of the fractional porous medium equation from a microscopic dynamics." Nonlinearity 36, no. 3 (2023): 1840–72. http://dx.doi.org/10.1088/1361-6544/acb7c1.

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Abstract In this article we derive the fractional porous medium equation for any power of the fractional Laplacian as the hydrodynamic limit of a microscopic dynamics of random particles with long range interactions, but the jump rate highly depends on the occupancy near the sites where the interactions take place.

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27

Low, Hong Tong, Xiao Bing Chen, Peng Yu, and Sony Winoto. "Mass Transport in a Microchannel Bioreactor with a Porous Wall." Applied Mechanics and Materials 110-116 (October 2011): 3489–94. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.3489.

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A two-dimensional flow model, incorporating mass transport, has been developed to simulate flow in a microchannel bioreactor with a porous wall. A two-domain method was implemented which was based on finite volume method. For the porous-fluid interface, a stress jump condition was used with continuity of normal stress; and the mass interfacial conditions were continuities of mass and mass flux. Two parameters are defined to characterize the mass transports in the fluid and porous regions. The porous Damkohler number is the ratio of consumption to diffusion of the substrates in the porous mediu

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28

Feichtner, Anna, Ed Mackay, Gavin Tabor, Philipp R. Thies, and Lars Johanning. "Comparison of Macro-Scale Porosity Implementations for CFD Modelling of Wave Interaction with Thin Porous Structures." Journal of Marine Science and Engineering 9, no. 2 (2021): 150. http://dx.doi.org/10.3390/jmse9020150.

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Computational fluid dynamics (CFD) modelling of wave interaction with thin perforated structures is of interest in a range of engineering applications. When large-scale effects such as forces and the overall flow behaviour are of interest, a microstructural resolution of the perforated geometry can be excessive or prohibitive in terms of computational cost. More efficiently, a thin porous structure can be represented by its macro-scale effects by means of a quadratic momentum source or pressure-drop respectively. In the context of regular wave interaction with thin porous structures and within

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29

Li, Ai-jun, Yong Liu, and Hua-jun Li. "Accurate Solutions to Water Wave Scattering by Vertical Thin Porous Barriers." Mathematical Problems in Engineering 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/985731.

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The water wave scattering by vertical thin porous barriers is accurately solved in this study. Two typical structures of a surface-piercing barrier and a submerged bottom-standing barrier are considered. The solution procedure is based on the multi-term Galerkin method, in which the pressure jump across a porous barrier is expanded in a set of basis functions involving the Chebychev polynomials. Then, the square-root singularity of fluid velocity at the edge of the porous barrier is correctly modeled. The present solutions have the merits of very rapid convergence. Accurate results for both th

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30

FASANO, A., M. PRIMICERIO, and D. TARZIA. "SIMILARITY SOLUTIONS IN A CLASS OF THAWING PROCESSES." Mathematical Models and Methods in Applied Sciences 09, no. 01 (1999): 1–10. http://dx.doi.org/10.1142/s0218202599000026.

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A study on similarity solutions for a mathematical model for thawing in a saturated porous medium is considered when change of phase induces a density jump and the influence of pressure on the melting temperature is considered. The mathematical analysis is made for different cases, depending on the sign of the three physical parameters.

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31

Zhou, Guoli, and Zhenting Hou. "The ergodicity of stochastic generalized porous media equations with lévy jump." Acta Mathematica Scientia 31, no. 3 (2011): 925–33. http://dx.doi.org/10.1016/s0252-9602(11)60286-5.

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32

Bhattacharyya, Anindita, and G. P. Raja Sekhar. "Stokes flow inside a porous spherical shell: Stress jump boundary condition." Zeitschrift für angewandte Mathematik und Physik 56, no. 3 (2005): 475–96. http://dx.doi.org/10.1007/s00033-004-2115-2.

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33

Prakash, Jai, G. P. Raja Sekhar, and Mirela Kohr. "Stokes flow of an assemblage of porous particles: stress jump condition." Zeitschrift für angewandte Mathematik und Physik 62, no. 6 (2011): 1027–46. http://dx.doi.org/10.1007/s00033-011-0123-6.

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34

Srinivasacharya, D., and M. Krishna Prasad. "Creeping flow past a porous approximate sphere - Stress jump boundary condition." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 91, no. 10 (2011): 824–31. http://dx.doi.org/10.1002/zamm.201000138.

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35

Vasilkevich, O. A., T. V. Karmazina, V. I. Slisenko, and V. M. Omelchenko. "Influence of coal sorbents on water molecules dynamics." Nuclear Physics and Atomic Energy 10, no. 4 (2009): 429–32. https://doi.org/10.15407/jnpae2009.04.429.

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The results of investigations of the effect of non- and porous sorbents on water dynamics have been discused. Characteristics of dynamics by the spectra of quasi-elastic slow neutron scattering have been calculated. The total coefficient of self-diffusion of water molecules; the contributions to it from collective (Lagrange) motion and single-particle (Frankel) motion; molecule lifetime at oscillation state and length of molecule jump from one to another equilibrium center have been quantitatively estimated. It is established that nonporous sorbents don't effect water dynamics but porous sorbe

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36

Kimura, S., G. Schubert, and J. M. Straus. "Instabilities of Steady, Periodic, and Quasi-Periodic Modes of Convection in Porous Media." Journal of Heat Transfer 109, no. 2 (1987): 350–55. http://dx.doi.org/10.1115/1.3248087.

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Instabilities of steady and time-dependent thermal convection in a fluid-saturated porous medium heated from below have been studied using linear perturbation theory. The stability of steady-state solutions of the governing equations (obtained numerically) has been analyzed by evaluating the eigenvalues of the linearized system of equations describing the temporal behavior of infinitesimal perturbations. Using this procedure, we have found that time-dependent convection in a square cell sets in at Rayleigh number Ra=390. The temporal frequency of the simply periodic (P(1)) convection at Raylei

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37

Srinivascaharya, D., and M. Krishna Prasad. "Creeping flow past a porous approximately spherical shell: stress jump boundary condition." ANZIAM Journal 52 (April 4, 2012): 289. http://dx.doi.org/10.21914/anziamj.v52i0.4081.

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38

Sham, T. K., and I. Coulthard. "Edge-jump inversion in the SiL3,2-edge optical XAFS of porous silicon." Journal of Synchrotron Radiation 6, no. 3 (1999): 215–16. http://dx.doi.org/10.1107/s0909049599001314.

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39

Levy, A., G. Ben-Dor, S. Sorek, and J. Bear. "Jump conditions across strong compaction waves in gas saturated rigid porous media." Shock Waves 3, no. 2 (1993): 105–11. http://dx.doi.org/10.1007/bf02115890.

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40

Valdés-Parada, Francisco J., Carlos G. Aguilar-Madera, J. Alberto Ochoa-Tapia, and Benoît Goyeau. "Velocity and stress jump conditions between a porous medium and a fluid." Advances in Water Resources 62 (December 2013): 327–39. http://dx.doi.org/10.1016/j.advwatres.2013.08.008.

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41

Bachmayr, Markus, Simon Boisserée, and Lisa Maria Kreusser. "Analysis of nonlinear poroviscoelastic flows with discontinuous porosities ^*." Nonlinearity 36, no. 12 (2023): 7025–64. http://dx.doi.org/10.1088/1361-6544/ad0871.

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Abstract Existence and uniqueness of solutions is shown for a class of viscoelastic flows in porous media with particular attention to problems with nonsmooth porosities. The considered models are formulated in terms of the time-dependent nonlinear interaction between porosity and effective pressure, which in certain cases leads to porosity waves. In particular, conditions for well-posedness in the presence of initial porosities with jump discontinuities are identified.

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42

Terekhov, Kirill M. "Pressure-correction projection method for modelling the incompressible fluid flow in porous media." Russian Journal of Numerical Analysis and Mathematical Modelling 38, no. 4 (2023): 241–65. http://dx.doi.org/10.1515/rnam-2023-0019.

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Abstract This work is dedicated to the pressure-correction projection method for the volume-averaged Navier–Stokes system for porous media. A set of parameters controlling the presence of inertia and viscosity is introduced into the system. Switching parameters allows us to reduce the system to either the Brinkman system or the Darcy equation. Considering the jump in the parameters between mesh cells allows capturing the contact of media of different types, such as free-flow and porous media flow. We apply Chorin’s projection method to decouple the system. The splitting of the system yields a

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Bovand, Masoud, Saman Rashidi, Masoomeh Dehesht, and Javad Abolfazli Esfahani. "Effect of fluid-porous interface conditions on steady flow around and through a porous circular cylinder." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 7 (2015): 1658–81. http://dx.doi.org/10.1108/hff-10-2014-0295.

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Purpose – The purpose of this paper is to implement the numerical analysis based on finite volume method to compare the effects of stress-jump (SJ) and stress-continuity (SC) conditions on flow structure around and through a porous circular cylinder. Design/methodology/approach – In this study, a steady flow of a viscous, incompressible fluid around and through a porous circular cylinder of diameter “D,” using Darcy-Brinkman-Forchheimer’s equation in the porous region, is discussed. The SJ condition proposed by Ochoa-Tapia and Whitaker is applied at the porous-fluid interface and compared with

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Ramanuja, Mani, Gunduboina Gopi Krishna, Hari Kamala Sree, and Vatukuru Naga Radhika. "Free Convection in a Vertical Slit Micro-channel with Super-hydrophobic Slip and Temperature Jump Conditions." International Journal of Heat and Technology 38, no. 3 (2020): 738–44. http://dx.doi.org/10.18280/ijht.380318.

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The main objective of the convective incompressible fluid flow placed in a magnetic field, with vertical motion through an isothermally heated porous channel. The Super-hydrophobic the slip was applied on one wall along with temperature jump, while there is no slip on another wall. The analytical results are discussed qualitatively for the parameters which were on the mathematical formulation on the basis of the model equations designed for the linear momentum and energy balance. Decreasing the value of the slip parameter is noticed due to decreasing in temperature. The effects of heat source

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Raikovsky, Maksim I., Alexander Yu Demyanov, Oleg Yu Dinariev, and Denis V. Rudenko. "Accounting for a capillary pressure jump in a saturated porous medium for a more correct calculation of hydrocarbon reserves." Bulletin of the Tomsk Polytechnic University Geo Assets Engineering 335, no. 7 (2024): 96–104. http://dx.doi.org/10.18799/24131830/2024/7/4371.

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Relevance. The correct calculation of hydrocarbon reserves in various fields (oil, gas, gas condensate) is an important state task, because it allows you to properly organize field development in the future and ensure the rational use of natural resources of the state. In particular, the values of geological and recoverable reserves are assigned to a specific subsurface user and are recorded in departmental documents. Aim. To describe the effect associated with the calculations of the thermodynamic equilibrium of the mixture of hydrocarbons of the Karachaganak oil and gas condensate field at v

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Wang, Zhi Jian, Tian Zhu Zhang, Jin Shang, and Metsakeu Kong Evariste. "Precision Compound Sand Control Screen Internal Flow Field of the CFD Simulation." Applied Mechanics and Materials 644-650 (September 2014): 4682–85. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.4682.

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In this paper, calculating fluid dynamics (CFD) method is utilized for analyzing the precision compound sand control screen internal flow field so as to establish appropriate models. During this numerical calculation, by using the - turbulence model is used to simulate the resistance characteristics under different working conditions when crude oil flows through precision compound sand control screen, analyze its speed change rule, flow path and pressure distribution, etc. The use of porous media model to simulate the resistance of the oil screen effect, the oil screen is replaced by the porou

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Mengual, Francisco. "h-principle for the 2-dimensional incompressible porous media equation with viscosity jump." Analysis & PDE 15, no. 2 (2022): 429–76. http://dx.doi.org/10.2140/apde.2022.15.429.

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Partha, M. K., P. V. Murthy, and G. P. Raja Sekhar. "Viscous Flow Past a Porous Spherical Shell—Effect of Stress Jump Boundary Condition." Journal of Engineering Mechanics 131, no. 12 (2005): 1291–301. http://dx.doi.org/10.1061/(asce)0733-9399(2005)131:12(1291).

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Chandesris, M., and D. Jamet. "Derivation of jump conditions for the turbulence model at a fluid/porous interface." International Journal of Heat and Fluid Flow 30, no. 2 (2009): 306–18. http://dx.doi.org/10.1016/j.ijheatfluidflow.2009.01.008.

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Parthiban, C., and P. R. Patil. "Convection in a porous medium with velocity slip and temperature jump boundary conditions." Heat and Mass Transfer 32, no. 1-2 (1996): 27–31. http://dx.doi.org/10.1007/s002310050087.

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