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Relevant bibliographies by topics / Forchheimer equation

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Academic literature on the topic 'Forchheimer equation'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Forchheimer equation"

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Sidiropoulou, Melina G., Konstadinos N. Moutsopoulos, and Vassilios A. Tsihrintzis. "Determination of Forchheimer equation coefficientsa andb." Hydrological Processes 21, no. 4 (2007): 534–54. http://dx.doi.org/10.1002/hyp.6264.

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Whitaker, Stephen. "The Forchheimer equation: A theoretical development." Transport in Porous Media 25, no. 1 (1996): 27–61. http://dx.doi.org/10.1007/bf00141261.

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Fand, R. M., B. Y. K. Kim, A. C. C. Lam, and R. T. Phan. "Resistance to the Flow of Fluids Through Simple and Complex Porous Media Whose Matrices Are Composed of Randomly Packed Spheres." Journal of Fluids Engineering 109, no. 3 (1987): 268–73. http://dx.doi.org/10.1115/1.3242658.

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Experimental data relating to the flow of fluids through simple and complex porous media whose matrices are composed of randomly packed spheres have been obtained. In this context the term “simple” refers to porous media whose matrices are composed of spheres of uniform diameter, while “complex” refers to matrices composed of spheres having different diameters. It was found that Darcy’s law is valid for simple media within a range of the Reynolds number, Re, whose upper bound is 2.3. The upper bounds of Darcy flow for complex media were found to be consistent with this value. It is shown that

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Huang, Haiying, and Joseph A. Ayoub. "Applicability of the Forchheimer Equation for Non-Darcy Flow in Porous Media." SPE Journal 13, no. 01 (2008): 112–22. http://dx.doi.org/10.2118/102715-pa.

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Summary The subject of non-Darcy flow in hydraulically fractured wells has generated intense debates recently. One aspect of the discussion concerns the inertia resistance factor, or the so-called beta factor, ß, in the Forchheimer equation, and whether the beta factor ß of a proppant pack should be constant over the range of flow rates of practical interests. The problem was highlighted in a recent discussion by van Batenburg and Milton-Tayler (2005) and the reply by Barree and Conway (2005) regarding paper SPE 89325 (Barree and Conway 2004) in the August 2005 JPT. This discussion in essence

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Knupp, P. M., and J. L. Lage. "Generalization of the Forchheimer-extended Darcy flow model to the tensor premeability case via a variational principle." Journal of Fluid Mechanics 299 (September 25, 1995): 97–104. http://dx.doi.org/10.1017/s0022112095003430.

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A convex variational principle is used to obtain a generalization of the empirical nonlinear one-dimensional Forchheimer-extended Darcy flow equation to the multidimensional and anisotropic (tensor permeability) case. A modified permeability that is a function of flow velocity (or pressure gradient) is introduced in order to transform the nonlinear flow equation into a pseudo-linear form. Imposing an incompressibility condition on this pseudo-linear equation leads to a flow equation in Euler–Lagrange form which is used to build the corresponding variational principle. It is demonstrated that t

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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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Moutsopoulos, Konstadinos N., and Vassilios A. Tsihrintzis. "Approximate analytical solutions of the Forchheimer equation." Journal of Hydrology 309, no. 1-4 (2005): 93–103. http://dx.doi.org/10.1016/j.jhydrol.2004.11.014.

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Jagadeesh Kumar, M. S., P. G. Siddheshwar, and G. Suresh Singh. "Dispersion in a Non-Linear Non-Darcy Flow of a Variable Viscosity Liquid." Mapana - Journal of Sciences 11, no. 3 (2012): 113–27. http://dx.doi.org/10.12723/mjs.22.7.

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An infinite horizontally extended sparcely packed chemically inert porous channel flow of a Newtonian liquid is considered. The walls of the channels are assumed to be at different temperatures so that the viscosity of the fluid varies across the channel. A dimensionless variable viscosity coefficient is introduced in the Darcy–Forchheimer- Brinkman model, along with the Darcy number, Forchheimer number and the Brinkman number. A series solution is obtained for the Darcy-Forchheimer-Brinkman equation using the differential transform method (DTM). Using this solution for the fully developed flo

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Wang, Xiao-Hong, and Zhi-Feng Liu. "The Forchheimer equation in two-dimensional percolation porous media." Physica A: Statistical Mechanics and its Applications 337, no. 3-4 (2004): 384–88. http://dx.doi.org/10.1016/j.physa.2004.01.047.

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Hristov, Jordan. "Scaling of permeabilities and friction factors of homogeneously expanding gas-solids fluidized beds: Geldart’s A powders and magnetically stabilized beds." Thermal Science 10, no. 1 (2006): 19–44. http://dx.doi.org/10.2298/tsci0601019h.

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The concept of a variable friction factor of fluid-driven de form able powder beds undergoing fluidization is discussed. The special problem discussed addresses the friction factor and bed permeability relationships of Geldart?s A powders and magnetically stabilized beds in axial fields. Governing equations and scaling relation ships are developed through three approaches (1) Minimization of the pressure drop with respect to the fluid velocity employing the Darcy-Forchheimer equation together with the Richardson-Zaki scaling law, (2) Minimization of the pres sure drop across an equivalent-chan

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Dissertations / Theses on the topic "Forchheimer equation"

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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

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Kao, Cyril. "Fonctionnement hydraulique des nappes superficielles de fonds de vallées en interaction avec le réseau hydrographique." Phd thesis, ENGREF (AgroParisTech), 2002. http://tel.archives-ouvertes.fr/tel-00003957.

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L'objectif de cette thèse est de contribuer à une meilleure compréhension du fonctionnement hydraulique d'un système de nappe superficielle de fond de vallée, alimentée par un versant et drainée par un fossé en régime transitoire. Ceci doit aboutir à terme à un outil de modélisation permettant de tester des scénarios de gestion ou d'aménagements de ces zones humides. Le parti (pari ?) choisi a été de fonder les efforts de modélisation sur l'approche " saturée 1D " (équation de Boussinesq), tout en utilisant des modèles plus sophistiqués (Laplace, Richards) afin de servir de référence lors de l

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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 ains

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Xing, Kangzheng. "Comparaison de deux méthodes d’éléments spectraux avec joints pour les équations de Darcy." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066740.

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Nous parlons essentiellement dans cette thèse la simulation numérique par la méthode spectrale de l'écoulement stable dans un milieu poreux rigide qui est simulé par les équations de Darcy avec des conditions aux limites générales. La méthode s'avère optimale en ce sens que l'erreur obtenue n'est limitée que par la régularité de la fonction. Un des paramètres dépend de la perméabilité du milieu et, lorsqu'il n'est pas homogène, les variations de ce paramètre peuvent être extrêmement importantes. Pour traiter ce phénomène, nous proposons deux discrétisation différente par éléments spectraux ave

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Klenzendorf, Joshua Brandon. "Hydraulic conductivity measurement of permeable friction course (PFC) experiencing two-dimensional nonlinear flow effects." Thesis, 2010. http://hdl.handle.net/2152/ETD-UT-2010-05-977.

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Permeable Friction Course (PFC) is a layer of porous asphalt pavement with a thickness of up to 50 millimeters overlain on a conventional impervious hot mix asphalt or Portland cement concrete roadway surface. PFC is used for its driver safety and improved stormwater quality benefits associated with its ability to drain rainfall runoff from the roadway surface. PFC has recently been approved as a stormwater best management practice in the State of Texas. The drainage properties of PFC are typically considered to be governed primarily by two hydraulic properties: porosity and hydraulic conducti

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Book chapters on the topic "Forchheimer equation"

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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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"Dupuit-Forchheimer equation." In Dictionary Geotechnical Engineering/Wörterbuch GeoTechnik. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-41714-6_44713.

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Conference papers on the topic "Forchheimer equation"

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Ling, Kegang, Jun He, Xingru Wu, and Zheng Shen. "Determining Coefficient of Quadratic Term in Forchheimer Equation." In International Petroleum Technology Conference. International Petroleum Technology Conference, 2013. http://dx.doi.org/10.2523/iptc-16582-ms.

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Ling, Kegang, Jun He, Xingru Wu, and Zheng Shen. "Determining Coefficient of Quadratic Term in Forchheimer Equation." In International Petroleum Technology Conference. International Petroleum Technology Conference, 2013. http://dx.doi.org/10.2523/16582-ms.

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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 genera

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Skrzypacz, Piotr. "Local projection stabilization for linearized Brinkman–Forchheimer–Darcy equation." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000664.

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Farah, Hoden A., Frank K. Lu, and Jim L. Griffin. "Numerical Study of the Pressure Drop in a Flame Arrestor Using a Porous Media Model." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23189.

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Abstract A numerical study of the flow characteristics of a crimped flame arrestor element was conducted using a porous media model. The porous zone was modeled using the Forchheimer equation. The Forchheimer equation was incorporated into the governing conservation equations as a momentum sink. A small-scale crimped flame arrestor element was tested to determine the empirical coefficients in the Forchheimer equation. The numerical simulation result using this porous media model was verified using experimental data. The flow characteristics of a four-inch detonation flame arrestor with the sam

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Huang, Haiying, and Joseph Adib Ayoub. "Applicability of the Forchheimer Equation for Non-Darcy Flow in Porous Media." In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, 2006. http://dx.doi.org/10.2118/102715-ms.

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Farah, Hoden A., Frank K. Lu, and Jim L. Griffin. "Numerical Simulation of Detonation Propagation in Flame Arrestor Applications." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23202.

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Abstract A detail numerical study of detonation propagation and interaction with a flame arrestor product was conducted. The simulation domain was based on the detonation flame arrestor validation test setup. The flame arrestor element was modeled as a porous zone using the Forchheimer equation. The coefficients of the Forchheimer equation were determined using experimental data. The Forchheimer equation was incorporated into the governing equations for axisymmetric reactive turbulent flow as a momentum sink. A 21-step elementary reaction mechanism with 10 species was used to model the stoichi

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Belhaj, H. A., K. R. Agha, A. M. Nouri, S. D. Butt, H. F. Vaziri, and M. R. Islam. "Numerical Simulation of Non-Darcy Flow Utilizing the New Forchheimer's Diffusivity Equation." In Middle East Oil Show. Society of Petroleum Engineers, 2003. http://dx.doi.org/10.2118/81499-ms.

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Nicoletti, Rodrigo, Zilda C. Silveira, and Benedito M. Purquerio. "Modified Reynolds Equation for Aerostatic Porous Radial Bearings With Quadratic Forchheimer Pressure-Flow Assumption." In ASME/STLE 2007 International Joint Tribology Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ijtc2007-44015.

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The mathematical modeling of aerostatic porous bearings, represented by the Reynolds equation, depends on the assumptions for the flow in the porous medium. One proposes a modified Reynolds equation based on the quadratic Forchheimer assumption, which can be used for both linear and quadratic conditions. Numerical results are compared to those obtained with the linear Darcy model. It is shown that, the non-dimensional parameter Φ, related to non-linear effects, strongly affects the bearing dynamic characteristics, but for values of Φ > 10, the results tend to those obtained with the linear

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Cheng, Liping, and Andrey V. Kuznetsov. "Numerical Investigation of Heat Transfer in Forced Convection in a Helical Pipe Filled With a Porous Medium." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72059.

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This paper investigates numerically heat transfer in a helical pipe filled with a fluid saturated porous medium. The analysis is based on the full momentum equation for porous media that accounts for the Brinkman and Forchheimer extensions of the Darcy law as well as for the flow inertia. Numerical computations are performed in an orthogonal helical coordinate system. The effects of the Darcy number, the Forchheimer coefficient as well as the Dean and Germano numbers on the axial flow velocity, secondary flow, temperature distribution, and the Nusselt number are analyzed.

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