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AUTHOR(S): Mohammad Reza Shahnazari, Mir Hedayat Moosavi
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ABSTRACT The developed fluid flow in a channel filled with porous media is known as one of the classical issues in the field of fluid mechanics. Darcy’s, Brinkman's and Brinkman-Forchheimer's laws are well-known models for describing this kind of fluid. Darcy equation, as the most useful equations, is based on the description of fluid friction and porous matrix. In Brinkman equation, the term of viscosity similar to that of Laplacian in the Navier Stokes equation is added to the Darcy equation, and finally, Forchheimer term is able to account for second-order drag term due to the impact of solid in the fluid. Adding the Forchheimer term to the Darcy-Brinkman equation causes the nonlinearity of the equation. In this paper, in addition to the analytical response of this equation, the convective heat transfer coefficient is estimated. The effect of all parameters on the the Nusselt number is estimated. The results show, as the Forchheimer coefficient increases, Nusselt number declines; this downward trend is sharp in smaller Darcy numbers; hence Nusselt number tends to its asymptotic values. While, as Darcy number increase, the downtrend is getting close to a linear one. |
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KEYWORDS Porous media, Brinkman-Forchheimer, Developed fluid flow, Instability of fluid flow |
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Cite this paper Mohammad Reza Shahnazari, Mir Hedayat Moosavi. (2022) Investigation of Nonlinear Fluid Flow Equation in a Porous Media and Evaluation of Convection Heat Transfer Coefficient, By Taking the Forchheimer Term into Account. International Journal of Theoretical and Applied Mechanics, 7, 12-17 |
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