Publicado 12 números por año
ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508
Indexed in
FLOW OF A FLUID THROUGH A POROUS SOLID DUE TO HIGH PRESSURE GRADIENTS
SINOPSIS
It is well known that the viscosity of fluids could vary by several orders of magnitude with pressure. This fact is not usually taken into account in many important applications involving the flow of fluids through porous media, for example the problems of enhanced oil recovery or carbon dioxide sequestration where very high pressure differentials are involved. Another important technical problem where such high-pressure differentials are involved is that of extracting unconventional oil deposits such as shale, which is becoming ever so important now. In this study, we show that the traditional approach that ignores the variation of the viscosity and drag with the pressure greatly overpredicts the mass flux taking place through the porous structure. While taking the pressure dependence of viscosity and drag leads to a ceiling flux, the traditional approaches lead to a continued increase in the flux with the pressure difference. In this study, we consider a generalization of the classical Brinkman equation that takes the dependence of the viscosity and the drag coefficient on pressure. To our knowledge, this is the first study to carry out such an analysis.
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Srinivasan Shriram, A Generalized Darcy–Dupuit–Forchheimer Model with Pressure-Dependent Drag Coefficient for Flow Through Porous Media Under Large Pressure Gradients, Transport in Porous Media, 111, 3, 2016. Crossref
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Bulíček Miroslav, Flows of Fluids with Pressure Dependent Material Coefficients, in Fluids Under Pressure, 2020. Crossref
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Capone F., Gentile M., Massa G., The onset of thermal convection in anisotropic and rotating bidisperse porous media, Zeitschrift für angewandte Mathematik und Physik, 72, 4, 2021. Crossref
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Zaytoon M.S. Abu, Hamdan M.H., Fluid Mechanics at the Interface between a Variable Viscosity Fluid Layer and a Variable Permeability Porous Medium, WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER, 16, 2021. Crossref
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Barros Wagner Q., Pires Adolfo P., Peres Alvaro M.M., Analytical solution for one-dimensional three-phase incompressible flow in porous media for concave relative permeability curves, International Journal of Non-Linear Mechanics, 137, 2021. Crossref
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Zaytoon M.S. Abu, Dajani S. Jayyousi, Hamdan M.H., Effects of the Porous Microstructure on the Drag Coefficient in Flow of a Fluid with Pressure-Dependent Viscosity, International Journal of Mechanics, 15, 2021. Crossref
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Abu Zaytoon M. S., Xiao Yiyun (Lisa), Hamdan M. H., Flow of a Fluid with Pressure-Dependent Viscosity through Variable Permeability Porous Layer, WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS, 16, 2021. Crossref