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Relevant bibliographies by topics / Forchheimer flows

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Academic literature on the topic 'Forchheimer flows'

Author: Grafiati

Published: 11 March 2023

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Journal articles on the topic "Forchheimer flows"

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Aulisa, Eugenio, Lidia Bloshanskaya, Yalchin Efendiev, and Akif Ibragimov. "Upscaling of Forchheimer flows." Advances in Water Resources 70 (August 2014): 77–88. http://dx.doi.org/10.1016/j.advwatres.2014.04.016.

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Gruais, Isabelle, and Dan Poliševski. "Thermal flows in fractured porous media." ESAIM: Mathematical Modelling and Numerical Analysis 55, no. 3 (2021): 789–805. http://dx.doi.org/10.1051/m2an/2020087.

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We consider the thermal flow problem occuring in a fractured porous medium. The incompressible filtration flow in the porous matrix and the viscous flow in the fractures obey the Boussinesq approximation of Darcy-Forchheimer law and respectively, the Stokes system. They are coupled by the Saffman’s variant of the Beavers–Joseph condition. Existence and uniqueness properties are presented. The use of the energy norm in describing the Darcy-Forchheimer law proves to be appropriate. In the ε-periodic framework, we find the two-scale homogenized system which governs their asymptotic behaviours when ε → 0 and the Forchheimer effect vanishes. The limit problem is mainly a model of two coupled thermal flows, neither of them being incompressible.

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Celik, Emine, Luan Hoang, and Thinh Kieu. "Generalized Forchheimer Flows of Isentropic Gases." Journal of Mathematical Fluid Mechanics 20, no. 1 (2017): 83–115. http://dx.doi.org/10.1007/s00021-016-0313-2.

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Celik, Emine, and Luan Hoang. "Generalized Forchheimer flows in heterogeneous porous media." Nonlinearity 29, no. 3 (2016): 1124–55. http://dx.doi.org/10.1088/0951-7715/29/3/1124.

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Lychagin, V. V. "On Darcy–Forchheimer Flows in Porous Media." Lobachevskii Journal of Mathematics 43, no. 10 (2022): 2793–96. http://dx.doi.org/10.1134/s1995080222130273.

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Wood, Brian D., Xiaoliang He, and Sourabh V. Apte. "Modeling Turbulent Flows in Porous Media." Annual Review of Fluid Mechanics 52, no. 1 (2020): 171–203. http://dx.doi.org/10.1146/annurev-fluid-010719-060317.

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Turbulent flows in porous media occur in a wide variety of applications, from catalysis in packed beds to heat exchange in nuclear reactor vessels. In this review, we summarize the current state of the literature on methods to model such flows. We focus on a range of Reynolds numbers, covering the inertial regime through the asymptotic turbulent regime. The review emphasizes both numerical modeling and the development of averaged (spatially filtered) balances over representative volumes of media. For modeling the pore scale, we examine the recent literature on Reynolds-averaged Navier–Stokes (RANS) models, large-eddy simulation (LES) models, and direct numerical simulations (DNS). We focus on the role of DNS and discuss how spatially averaged models might be closed using data computed from DNS simulations. A Darcy–Forchheimer-type law is derived, and a prior computation of the permeability and Forchheimer coefficient is presented and compared with existing data.

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Hoang, Luan T., and Thinh T. Kieu. "Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids." Advanced Nonlinear Studies 17, no. 4 (2017): 739–67. http://dx.doi.org/10.1515/ans-2016-6027.

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AbstractThe generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time, the interior {L^{\infty}}-estimates for the pressure, its gradient and time derivative, and the interior {L^{2}}-estimates for its Hessian. The De Giorgi and Ladyzhenskaya–Uraltseva iteration techniques are used taking into account the special structures of the equations for both pressure and its gradient. These are combined with the uniform Gronwall-type bounds in establishing the asymptotic estimates when time tends to infinity.

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Celik, Emine, Luan Hoang, and Thinh Kieu. "Slightly compressible Forchheimer flows in rotating porous media." Journal of Mathematical Physics 62, no. 7 (2021): 073101. http://dx.doi.org/10.1063/5.0047754.

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Hoang, L. T., T. T. Kieu, and T. V. Phan. "Properties of Generalized Forchheimer Flows in Porous Media." Journal of Mathematical Sciences 202, no. 2 (2014): 259–332. http://dx.doi.org/10.1007/s10958-014-2045-2.

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Skrzypacz, Piotr, and Dongming Wei. "Solvability of the Brinkman-Forchheimer-Darcy Equation." Journal of Applied Mathematics 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/7305230.

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The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear convective flows in medium with variable porosity and for small data. Furthermore, the finite element approximations to the flow profiles in the fixed bed reactor are presented for several Reynolds numbers at the non-Darcy’s range.

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Dissertations / Theses on the topic "Forchheimer flows"

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THIEU, THI KIM THOA. "Models for coupled active--passive population dynamics: mathematical analysis and simulation." Doctoral thesis, Gran Sasso Science Institute, 2020. http://hdl.handle.net/20.500.12571/15016.

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In this dissertation, we study models for coupled active--passive pedestrian dynamics from mathematical analysis and simulation perspectives. The general aim is to contribute to a better understanding of complex pedestrian flows. This work comes in three main parts, in which we adopt distinct perspectives and conceptually different tools from lattice gas models, partial differential equations, and stochastic differential equations, respectively. In part one, we introduce two lattice models for active--passive pedestrian dynamics. In a first model, using descriptions based on the simple exclusion process, we study the dynamics of pedestrian escape from an obscure room in a lattice domain with two species of particles (pedestrians). The main observable is the evacuation time as a function of the parameters caracterizing the motion of the active pedestrians. Our Monte Carlo simulation results show that the presence of the active pedestrians can favor the evacuation of the passive ones. We interpret this phenomenon as a discrete space counterpart of the so-called drafting effect. In a second model, we consider again a microscopic approach based on a modification of the simple exclusion process formulated for active--passive populations of interacting pedestrians. The model describes a scenario where pedestrians are walking in a built environment and enter a room from two opposite sides. For such counterflow situation, we have found out that the motion of active particles improves the outgoing current of the passive particles. In part two, we study a fluid-like driven system modeling active--passive pedestrian dynamics in a heterogenous domain. We prove the well-posedness of a nonlinear coupled parabolic system that models the evolution of the complex pedestrian flow by using special energy estimates, a Schauder's fixed point argument and the properties of the nonlinearity's structure. In the third part, we describe via a coupled nonlinear system of Skorohod-like stochastic differential equations the dynamics of active--passive pedestrians dynamics through a heterogenous domain in the presence of fire and smoke. We prove the existence and uniqueness of strong solutions to our model when reflecting boundary conditions are imposed on the boundaries. To achieve this we used compactness methods and the Skorohod's representation of solutions to SDEs posed in bounded domains. Furthermore, we study an homogenization setting for a toy model (a semi-linear elliptic equation) where later on our pedestrian models can be studied.

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Zhang, Andi. "Numerical investigation of multiphase Darcy-Forchheimer flow and contaminant transport during SO₂ co-injection with CO₂ in deep saline aquifers." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/49065.

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Of all the strategies to reduce carbon emissions, carbon dioxide (CO₂) geological sequestration is an immediately available option for removing large amounts of the gas from the atmosphere. However, our understanding of the transition behavior between Forchheimer and Darcy flow through porous media during CO₂ injection is currently very limited. In addition, the kinetic mass transfer of SO₂ and CO₂ from CO₂ stream to the saline and the fully coupling between the changes of porosity and permeability and multiphase flow are two significant dimensions to investigate the brine acidification and the induced porosity and permeability changes due to SO₂ co-injection with CO₂. Therefore, this dissertation develops a multiphase flow, contaminant transport and geochemical model which includes the kinetic mass transfer of SO₂ into deep saline aquifers and obtains the critical Forchheimer number for both water and CO₂ by using the experimental data in the literature. The critical Forchheimer numbers and the multiphase flow model are first applied to analyze the application problem involving the injection of CO₂ into deep saline aquifers. The results show that the Forchheimer effect would result in higher displacement efficiency with a magnitude of more than 50% in the Forchheimer regime than that for Darcy flow, which could increase the storage capacity for the same injection rate and volume of a site. Another merit for the incorporation of Forchheimer effect is that more CO₂ would be accumulated in the lower half of the domain and lower pressure would be imposed on the lower boundary of the cap-rock. However, as a price for the advantages mentioned above, the injection pressure required in Forchheimer flow would be higher than that for Darcy flow. The fluid flow and contaminant transport and geochemical model is then applied to analyze the brine acidification and induced porosity and permeability changes due to SO₂ co-injection. The results show that the co-injection of SO₂ with CO₂ would lead to a substantially acid zone near the injecting well and it is important to include the kinetic dissolution of SO₂ from the CO₂ stream to the water phase into the simulation models, otherwise considerable errors would be introduced for the equilibrium assumption. This study provides a useful tool for future analysis and comprehension of multiphase Darcy-Forchheimer flow and brine acidification of CO₂ injection into deep saline aquifers. Results from this dissertation have practical use for scientists and engineers concerned with the description of flow behavior, and transport and fate of SO₂ during SO₂ co-injection with CO₂ in deep saline aquifers.

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KC, Amar. "Numerical Simulations of Magnetohydrodynamic Flow and Heat Transfer." University of Akron / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=akron1411495287.

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Brihi, Sarra. "Mathematical analysis and numerical approximation of flow models in porous media." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMC263/document.

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Cette thèse est consacrée à l'étude des équations du Darcy Brinkman Forchheimer (DBF) avec des conditions aux limites non standards. Nous montrons d'abord l'existence de différents type de solutions (faible, forte) correspondant au problème DBF stationnaire dans un domaine simplement connexe avec des conditions portants sur la composante normale du champ de vitesse et la composante tangentielle du tourbillon. Ensuite, nous considérons le système Brinkman Forchheimer (BF) avec des conditions sur la pression dans un domaine non simplement connexe. Nous prouvons que ce problème est bien posé ainsi que l'existence de la solution forte. Nous établissons la régularité de la solution dans les espaces L^p pour p >= 2.L'étude et l'approximation du problème DBF non stationnaire est basée sur une approche pseudo-compressibilité. Une estimation d'erreur d'ordre deux est établie dans le cas o\`u les conditions aux limites sont de types Dirichlet ou Navier.Enfin, une méthode d'éléments finis Galerkin Discontinue est proposée et la convergence établie concernant le problème DBF linéarisé et le système DBF non linéaire avec des conditions aux limites non standard<br>This thesis is devoted to Darcy Brinkman Forchheimer (DBF) equations with a non standard boundary conditions. We prove first the existence of different type of solutions (weak, strong) of the stationary DBF problem in a simply connected domain with boundary conditions on the normal component of the velocity field and the tangential component of the vorticity. Next, we consider Brinkman Forchheimer (BF) system with boundary conditions on the pressure in a non simply connected domain. We prove the well-posedness and the existence of a strong solution of this problem. We establish the regularity of the solution in the L^p spaces, for p >= 2.The approximation of the non stationary DBF problem is based on the pseudo-compressibility approach. The second order's error estimate is established in the case where the boundary conditions are of type Dirichlet or Navier. Finally, the finite elements Galerkin Discontinuous method is proposed and the convergence is settled concerning the linearized DBF problem and the non linear DBF system with a non standard boundary conditions

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Kureksiz, Ozge. "Non-darcian Flow Through Rockfills." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/3/12609720/index.pdf.

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An impermeable weir constructed across a stream prevents the longitudinal movement of aquatic life and transportation of physical and chemical substances in water, eventually having a negative impact on river environment. However, a rubble mound weir is considered environmentally friendly, since its permeability allows the streamwise migration of aquatic life. This thesis investigates the performance of this type of weir as a water use facility. The particular objective of the investigation is to study the flow mechanism in terms of water surface profile and discharge through the weir. In the study, flow through the rubble mound weir is considered non-Darcian, steady, and one-dimensional. In the analysis, gradually varied open channel flow algorithm is applied to porous medium flow through the rubble mound weir in which laminar and turbulent components of flow are taken into consideration. Unlike previous studies where Stephenson and Wilkins relations were used, in this thesis Forchheimer equation is used. To verify the validity of numerical solution of governing equation based on Forchheimer relation, an experimental investigation is conducted in the laboratory. The experimentally obtained water surface profiles are compared with the numerical results. It is observed that there is a satisfactory agreement between numerical and experimental results. The water surface profiles obtained by numerical solution are further compared with those based on Stephenson and Wilkins relations. It is concluded that the proposed numerical solution technique for the Forchheimer based governing equation may be used in the analysis of flow through, and design of rockfill weirs.

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Clearman, William M. "Measurement and correlation of directional permeability and Forchheimer's inertial coefficient of micro porous structures used in pulse tube cryocoolers." Thesis, Available online, Georgia Institute of Technology, 2007, 2007. http://etd.gatech.edu/theses/available/etd-07092007-111541/.

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Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2008.<br>Kirkconnell, Carl S., Committee Member ; Ghiaasiaan, S. Mostafa, Committee Chair ; Desai, Prateen V., Committee Member ; Jeter, Sheldon M., Committee Member.

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Bailly, David. "Vers une modélisation des écoulements dans les massifs très fissurés de type karst : étude morphologique, hydraulique et changement d'échelle." Thesis, Toulouse, INPT, 2009. http://www.theses.fr/2009INPT027H/document.

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Les aquifères fissurés de type karst contiennent d'importantes ressources en eau. Ces aquifères sont complexes et hétérogènes sur une gamme d'échelles importantes. Leur gestion nécessite l'utilisation d'outils et de méthodologies adaptés. Dans le cadre de cette étude, différents outils et méthodologies numériques d'étude ont été développés pour la modélisation des aquifères karstiques, et plus généralement, des milieux poreux très fissurés 2D et 3D - en mettant l'accent sur la morphologie et sur le comportement hydrodynamique du milieu à travers la notion de changement d'échelle ("second changement d'échelle", reposant sur un modèle d'écoulement local de type Darcy et/ou Poiseuille avec quelques généralisations). Plusieurs axes sont explorés concernant la morphologie du milieu poreux fissuré (milieux aléatoires, milieux booléens avec réseaux statistiques de fissures, mais aussi, modèles morphogénétiques). L'étude du changement d'échelle hydrodynamique tourne autour du concept de macro perméabilité. Dans un premier temps, l'étude porte sur un modèle de perte de charge linéaire darcien. Les perméabilités effectives sont calculées numériquement en termes des fractions volumiques de fissures et du contraste de perméabilité matrice/fissures. Elles sont analysées et comparées à des modèles théoriques (analytiques). Une étude particulière des effets de quasi-percolation pour les grands contrastes aboutit à la définition de trois fractions critiques liées à des seuils de percolation. Pour tenir compte des effets inertiels dans les fissures, l'étude est étendue au cas d'une loi locale comprenant un terme quadratique en vitesse (Darcy/Ward-Forchheimer). Une perméabilité macroscopique équivalente non linéaire est définie et analysée à l'aide d'un modèle inertiel généralisé (linéaire/puissance). Enfin, l'anisotropie hydraulique à grande échelle du milieu fissuré est étudiée, en termes de perméabilités directionnelles, à l'aide d'une méthode numérique d'immersion<br>Karstic aquifers contain large subsurface water resources. These aquifers are complex and heterogeneous on a large range of scales. Their management requires appropriate numerical tools and approaches. Various tools and numerical methodologies have been developed to characterize andmodel the geometry and hydraulic properties of karstic aquifers, more generally, of highly fissured 2D and 3D porous media. In this study, we emphasize morphological characterization, and we analyze hydrodynamic behavior through the concept of upscaling ("second upscaling"). Concerning the morphology of fissured porous media, several axes are explored : random media, composite random Boolean media with statistical properties, and morphogenetic models. Hydrodynamic upscaling is developed using the macro-permeability concept. This upscaling method is based on either Darcy's linear law, or on a linear/quadratic combination of Darcy's and Ward-Forchheimer's quadratic law (inertial effects). First, the study focuses on Darcy's linear head loss law, and Darcian effective permeabilities are calculated numerically in terms of volume fractions of fissures and "fissure/matrix" permeability contrasts. The results are analysed and compared with analytical results and bounds. A special study of percolation and quasi-percolation effects, for high contrasts, leads to defined three critical fractions. These critical fractions are "connected" to percolation thresholds. Secondly, in order to consider inertial effect in fissures, the study is extended to a local law with a quadratic velocity term (Darcy/Ward-Forchheimer). Then, an equivalent nonlinear macroscopic permeability is defined and analysed using a generalized inertial model (linear/power). Finally, the large scale hydraulic anisotropy of fissured medium is studied, in terms of directional permeabilities, using an "immersion" numerical method

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Terblanche, Luther. "The prediction of flow through two-dimensional porous media." Thesis, Stellenbosch : University of Stellenbosch, 2006. http://hdl.handle.net/10019.1/1722.

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Thesis (MScEng (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2006.<br>When considering flow through porous media, different flow regimes may be identified. At very small Reynolds numbers the relation between the pressure gradient and the velocity of the fluid is linear. This flow regime ...

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Kim, Sung-Min. "Numerical investigation on laminar pulsating flow through porous media." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/22601.

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Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2008.<br>Committee Co-Chair: Dr. S. Mostafa Ghiaasiaan; Committee Co-Chair: Dr. S.I. Abdel-Khalik; Committee Member: Dr. Sheldon M. Jeter.

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Pathak, Mihir Gaurang. "Periodic flow physics in porous media of regenerative cryocoolers." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/49056.

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Pulse tube cryocoolers (PTC) are a class of rugged and high-endurance refrigeration systems that operate without moving parts at their low temperature ends, and are capable of reaching temperatures down to and below 123 K. PTCs are particularly suitable for applications in space, guiding systems, cryosurgery, medicine preservation, superconducting electronics, magnetic resonance imaging, weather observation, and liquefaction of gases. Applications of these cryocoolers span across many industries including defense, aerospace, biomedical, energy, and high tech. Among the challenges facing the PTC research community is the improvement of system efficiency, which is a direct function of the regenerator component performance. A PTC implements the theory of oscillatory compression and expansion of the gas within a closed volume to achieve desired refrigeration. An important deficiency with respect to the state of art models dealing with PTCs is the limited understanding of the hydrodynamic and thermal transport parameters associated with periodic flow of a cryogenic fluid in micro-porous structures. In view of the above, the goals of this investigation include: 1) experimentally measuring and correlating the steady and periodic flow Darcy permeability and Forchheimer’s inertial hydrodynamic parameters for available rare-Earth ErPr regenerator filler; 2) employing a CFD-assisted methodology for the unambiguous quantification of the Darcy permeability and Forchheimer’s inertial hydrodynamic parameters, based on experimentally measured steady and periodic flow pressure drops in porous structures representing recently developed regenerator fillers; and 3) performing a direct numerical pore-level investigation for steady and periodic flows in a generic porous medium in order to elucidate the flow and transport processes, and quantify the solid-fluid hydrodynamic and heat transfer parameters. These hydrodynamic resistances parameters were found to be significantly different for steady and oscillatory flows.

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Book chapters on the topic "Forchheimer flows"

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Najmi, Hussain, Eddy E. L. Tabach, Khaled Chetehouna, Nicolas Gascoin, Safaa Akridiss, and François Falempin. "Flow Configuration Influence on Darcian and Forchheimer Permeabilities Determination." In Lecture Notes in Mechanical Engineering. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1771-1_14.

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Both, Jakub W., Jan M. Nordbotten, and Florin A. Radu. "Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media." In Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43651-3_17.

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Tarakaramu, Nainaru, P. V. Satya Narayana, and B. Venkateswarlu. "MHD Three Dimensional Darcy-Forchheimer Flow of a Nanofluid with Nonlinear Thermal Radiation." In Trends in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01123-9_10.

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Sahu, S., D. N. Thatoi, and K. Swain. "Darcy-Forchheimer Flow Over a Stretching Sheet with Heat Source Effect: A Numerical Study." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-9057-0_67.

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Pradeepa, T., and Ch RamReddy. "Micropolar Fluid Flow over a Frustum of Cone Subjected to Convective Boundary Condition: Darcy–Forchheimer Model." In Lecture Notes in Electrical Engineering. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-1824-7_9.

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Banerjee, Ashes, Srinivas Pasupuleti, and G. N. Pradeep Kumar. "A Critical Study on the Applicability of Forchheimer and Wilkins Equations for Nonlinear Flow Through Coarse Granular Media." In Water Science and Technology Library. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-5795-3_26.

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Dinesh, P. A., A. S. Vasudevamurthy, and M. Uma. "Effects of Forchheimer, MHD and Radiation Absorption for Chemically Reacting Unsteady Dusty Viscoelastic Fluid Couette Flow in an Irregular Channel." In Advances in Fluid Dynamics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-4308-1_77.

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NAKAYAMA, A. "A UNIFIED TREATMENT OF DARCY-FORCHHEIMER BOUNDARY-LAYER FLOWS." In Transport Phenomena in Porous Media. Elsevier, 1998. http://dx.doi.org/10.1016/b978-008042843-7/50008-8.

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Haitjema, H. M. "Dupuit—Forchheimer Flow." In Analytic Element Modeling of Groundwater Flow. Elsevier, 1995. http://dx.doi.org/10.1016/b978-012316550-3/50003-9.

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Marzougui, Souad, and Mourad Magherbi. "Irreversibility and Heat Transfer in Darcy-Forchheimer Magnetized Flow in a Porous Double Lid-Driven Cavity Filled With Copper-Water Nanofluid." In Advances in the Modelling of Thermodynamic Systems. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-8801-7.ch008.

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The present work reports a numerical simulation of entropy generation and heat transfer in a lid-driven porous cavity filled with a nanofluid using Darcy-Forchheimer model. Given the large number of dimensionless parameters related to this problem, some of them are kept constant and therefore the other governing dimensionless number such as number, the Hartman number, and the nanoparticles volume fraction, 0£Ha£50, 2%£φ£8%, respectively. The effects of the nanoparticles volume fraction and Hartman number on the different irreversibilities are studied. Results show that the entropy generation is strongly affected by the increase of Hartmann number and the volume fraction. Results reveal that the irreversibility in the nanofluid decrease with the nanoparticle volume fraction for different Hartmann numbers.

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Conference papers on the topic "Forchheimer flows"

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Ali, Anton, and Deborah Villarroel-Lamb. "ON THE FORCHHEIMER COEFFICIENTS FOR UNSATURATED FLOWS." In International Conference on Emerging Trends in Engineering & Technology (IConETech-2020). Faculty of Engineering, The University of the West Indies, St. Augustine, 2020. http://dx.doi.org/10.47412/dmdg4407.

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Ito, Makoto, Simon Tupin, Hitomi Anzai, Anna Suzuki, and Makoto Ohta. "Experimental Analysis for the Anisotropic Flows in Cancellous Bone." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71346.

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Cancellous bone contains bone marrow where hematopoietic stem cells (HSCs) are produced. Those cells represent an interest in the treatment of leukemia during which transplantation of bone marrow is performed to replace patient degraded cells. HSCs are usually harvested by a puncture in the cancellous bone of the donor’s ilium using a needle. However, this procedure can cause severe burden to the donor because of its high invasiveness. The flow of bone marrow is strongly related to the harvesting of HSCs and permeability is one of the major parameters to characterize cancellous bone. Previous researches have already shown an anisotropy of permeability in femur, whereas punctures are usually performed in the iliac cancellous bone. The objective of this paper is to characterize the anisotropic permeability of iliac cancellous bone. Digital images of a porcine iliac cancellous bone sample were obtained by micro-computed tomography (micro-CT), and three locations were selected to fabricate bone models, reproduced by 3D printing at three times magnification. To compare the structure of manufactured models, porosity and its variations along X, Y and Z direction were evaluated from micro-CT images. To measure permeability, a specific perfusion system was developed. The pressure drop between the upstream and the downstream of bone models were measured at different flow rates, reaching a Reynolds number of 27–158, appropriate for the aspiration condition. Darcy-Forchheimer’s law was then applied to calculate the permeability and Forchheimer coefficient of bone models. Results revealed different porosities and resultant permeabilities for each bone nodels. A positive correlation links those two parameters. Different fluctuations of porosity were evaluated along each direction although no significant difference of average porosity was observed. On the other hand, different permeabilities and Forchheimer coefficients were measured in each direction with various degrees of anisotropy. Permeabilities in three orthogonal directions of the model ranged from 1.96 × 10−10 to 4.29 × 10−10 m2. Results indicate that transport properties in cancellous bone depend on the flow directions. The anisotropy of permeability can be used for evaluation of flow in cancellous bone.

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SOMMERLOT, STEPHEN, TIMOTHY LUCHINI, and ALFRED LOOS. "The Forchheimer Effect and Non-Darcy Flows in Liquid Composite Molding Processes." In American Society for Composites 2017. DEStech Publications, Inc., 2017. http://dx.doi.org/10.12783/asc2017/15205.

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Nagendra, Krishnamurthy, and Danesh K. Tafti. "Flows Through Reconstructed Porous Media Using Immersed Boundary Methods." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72128.

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Understanding of the flows through real porous media is of considerable importance given their usage in a wide range of applications. Direct numerical simulations of such flows could be vastly informational but are rarely available in literature owing to the difficulty in simulating flows around complex surface contours that generally constitute porous media. In an effort to better the understanding of such flows, an immersed boundary method (IBM) framework capable of simulating flows through arbitrary surface contours is developed. For simulation of realistic porous media, a stochastic reconstruction procedure based on simulated annealing is utilized. Detailed studies to validate the results are undertaken. Further, numerous calculations are performed on flows through two-dimensional porous channels. The obtained results are compared with the analytical results from Darcy-Forchheimer equation. A study of the effect of varying sizes of the porous structures in such flows shows the increasing deviation from Darcy-Forchheimer equation as the size becomes significant in comparison to the channel height highlighting the need for such a framework and more such DNS studies.

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Zeighami, Farhad, Alessandro Lenci, and Vittorio Di Federico. "Prediction of effective Forchheimer coefficient for one- and two-dimensional flows in heterogeneous geologic media." In Proceedings of the 39th IAHR World Congress From Snow to Sea. International Association for Hydro-Environment Engineering and Research (IAHR), 2022. http://dx.doi.org/10.3850/iahr-39wc2521711920221336.

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Lin, Hao, Brian D. Storey, and Juan G. Santiago. "A Depth-Averaged Model for Electrokinetic Flows in a Thin Microchannel Geometry." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61017.

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We have developed a generalized electrokinetic model suitable for the study of microchannel flows with conductivity gradients and shallow channel depths. An asymptotic analysis was performed with channel depth-to-width ratio as the smallness parameter, and three dimensional transport equations are reduced to a set to depth-averaged equations governing flow dynamics in the streamwise-spanwise plane of a shallow channel. The momentum equation uses a Darcy-Brinkman-Forchheimer type formulation, and the convective-diffusive transport of the conductivity field in the depth direction manifests itself as a dispersion effect on in-plane motion. Accuracy of the model was assessed by comparing the numerical results with direct numerical simulations. These depth-averaged equations provide the accuracy of three-dimensional modeling with a convenient quasi-two-dimensional equation set applicable to a fairly wide class of microfluidic devices.

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Innocente de Souza, João Paulo, and Gustavo Rabello dos Anjos. "NUMERICAL SIMULATION OF FLOWS IN CONJUGATED REGIONS USING THE FINITE ELEMENT METHOD TO SOLVE THE DARCY-FORCHHEIMER MOMENTUM AND ENERGY EQUATIONS." In 19th Brazilian Congress of Thermal Sciences and Engineering. ABCM, 2022. http://dx.doi.org/10.26678/abcm.encit2022.cit22-0013.

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Lemley, Evan C., Dimitrios V. Papavassiliou, and Henry J. Neeman. "Non-Darcy Flow Pore Network Simulation: Development and Validation of a 3D Model." In ASME/JSME 2007 5th Joint Fluids Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/fedsm2007-37278.

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This validation study is part of a larger ongoing study to improve flow simulation in three dimensions in porous materials. Obtaining porous flow parameters such as permeability and Forchheimer’s coefficient is time consuming and expensive, and may be very sample dependent. This study is aimed at verifying a simulation technique that predicts flow parameters, including permeability and Forchheimer’s coefficient, by comparing simulation results to empirical results. The simulation technique used performs Monte Carlo trials by using statistical information about pore size distributions to generate random pore networks consisting of pipes and junctions, then simulating flow through the network. The validations have been performed for a packed bed of glass beads and for sandstone. For glass beads the relationship between permeability and Forchheimer’s coefficient follows an empirical relationship known as Ergun’s equation, while sandstone has been compared to measured data for the permeability versus Forchheimer coefficient relationship. The glass bead simulations resulted in a very close match to Ergun’s equation for the permeability versus Forchheimer coefficient. The sandstone simulations showed similar trends to the empirical data for permeability versus Forchheimer coefficient.

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Elsafti, Hisham, and Hocine Oumeraci. "Modelling Turbulent Flow in Deformable Highly Porous Seabed and Structures." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77318.

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In this study, the fully-coupled and fully-dynamic Biot governing equations in the open-source geotechFoam solver are extended to account for pore fluid viscous stresses. Additionally, turbulent pore fluid flow in deformable porous media is modeled by means of the conventional eddy viscosity concept without the need to resolve all turbulence scales. A new approach is presented to account for porous media resistance to flow (solid-to-fluid coupling) by means of an effective viscosity, which accounts for tortuosity, grain shape and local turbulences induced by flow through porous media. The new model is compared to an implemented extended Darcy-Forchheimer model in the Navier-Stokes equations, which accounts for laminar, transitional, turbulent and transient flow regimes. Further, to account for skeleton deformation, the porosity and other model parameters are updated with regard to strain of geomaterials. The presented model is calibrated by means of available results of physical experiments of unidirectional and oscillatory flows.

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Mesquita, Maximilian S., and Marcelo J. S. de Lemos. "Soret Effect on Double-Diffusive Laminar Convection in a Square Cavity Filled With Porous Material." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67669.

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This paper reports a numerical study of the Soret effect on steady-state flows, which are induced by double-diffusion in an enclosure. Convection takes place in a square cavity filled with a porous medium. Horizontal walls are impermeable and subjected to a vertical gradient of temperature. Vertical surfaces are adiabatic and subjected to a horizontal gradient of concentration. The physical model for momentum conservation equation makes use of the Forchheimer extension of the classical Darcy model. Governing parameters of the problem under study are thermal and solutal Rayleigh (Ra), Buoyancy ratio (N), Lewis numbers (Le) and Soret parameters (M). Computations using the finite-volume method cover the range 100 &lt; Ra &lt; 1000, −40 &lt; M &lt; 40 for N = 0.1.

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