Unsteady non-Darcy reaction-driven flow from an anisotropic cylinder in porous media
✍ Scribed by Hoa D. Nguyen; Seungho Paik; Rod W. Douglass; Ioan Pop
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 926 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0009-2509
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✦ Synopsis
Abstrae~This paper reports a theoretical study of thermal convection in a fluid-saturated porous medium generated by a surface reaction. The convective phenomena driven by temperature gradients, via heat release from an nth-order irreversible reaction, are modeled by the Brinkman-Forschheimer equation including the Boussinesq-Oberbeck approximations together with the energy and species equations. Solutions are obtained by a Fourier spectral element method in conjunction with a semi-implicit method combining the second-order Adams-Bashforth and first-order backward Euler schemes for advancing the solution in time. Numerical results indicate a strong influence of natural convection on the physicochemical process. Effects due to non-Darcy flow are significant for Rayleigh number on the order of 10 6 and that symmetry about 0 = n persists even for anisotropic materials unless the off-diagonal entry of the thermal conductivity tensor is nonzero.