Heat and Mass Transfer of an Oscillating Flow in a Porous Channel with Chemical Reaction

Authors: Z. Neffah, H. Kahalerras

Abstract:

A numerical study is made in a parallel-plate porous channel subjected to an oscillating flow and an exothermic chemical reaction on its walls. The flow field in the porous region is modeled by the Darcy–Brinkman–Forchheimer model and the finite volume method is used to solve the governing equations. The effects of the modified Frank-Kamenetskii (FKm) and Damköhler (Dm) numbers, the amplitude of oscillation (A), and the Strouhal number (St) are examined. The main results show an increase of heat and mass transfer rates with A and St, and their decrease with FKm and Dm.

Keywords: Chemical reaction, heat transfer, mass transfer, oscillating flow, porous channel.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109760

References:

[1] L. M. Pismen, “Convective currents induced by chemical reactions in partially-filled porous media,” Chem. Eng. Sci., vol. 31, 1976, pp. 693– 699.
[2] C. M. Marle, “On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media,” Int. J. Eng. Sci., vol. 20, 1982, pp. 643–662.
[3] J. E. Gatica, H. Viljoen and V. Hlavacek, “Stability analysis of chemical reaction and free convection in porous media,” Int. Comm. Heat Mass Transfer, vol. 14, 1987, pp. 391–403.
[4] M. S. Malashetty, P. Cheng and B. H. Chao, “Convective instability in a horizontal porous layer saturated with a chemically reacting fluid,” Int. J. Heat Mass Transfer, vol. 37, 1994, pp. 2901–2908.
[5] B. J. Minto, D. B. Ingham and I. Pop, “Free convection driven by an exothermic reaction on a vertical surface embedded in porous media,” Int. J. Heat Mass Transfer, vol. 41, 1998, pp. 11–23.
[6] C. Zhao, B. E. Hobbs, H. B. Mühlhauss and A. Ord, “Finite element modeling of dissipative structures for nonequilibrium chemical reactions in fluid-saturated porous media,” Comp. Methods Appl. Mech. Eng., vol. 184, 2000, pp. 1–14.
[7] M. Li, Y. Wu, Y. Tian and Y. Zhai, “Non-thermal equilibrium model of the coupled heat and mass transfer in strong endothermic chemical reaction system of porous media,” Int. J. Heat Mass Transfer, vol. 50, 2007, pp. 2936-2943.
[8] A. Postelnicu, “Onset of convection in a horizontal porous layer driven by catalytic surface reaction on the lower wall,” Int. J. Heat Mass Transfer, vol. 52, 2009, pp. 2466–2470.
[9] A. Bousri, K. Bouhadef, T. Langlet and H. Beji, “Forced convection analysis of coupled heat and mass transfer in a channel filled with a reactive porous medium,” Prog. Comp. Fluid Dyn., vol. 11, 2011, pp. 305–317.
[10] M. H. Matin and I. Pop, “Forced convection heat and mass transfer flow of a nanofluid through a porous channel with first order chemical reaction on the wall,” Int. Comm. Heat Mass Transfer, vol. 46, 2013, pp. 134–141.
[11] M. Sözen and K. Vafai, “Analysis of oscillating compressible flow through a packed bed,” Int. J. Heat Fluid Flow, vol. 12, 1991, pp. 130– 136.
[12] S. Y. Kim, B. H. Kang and J. M. Hyun, “Heat transfer from pulsating flow in a channel filled with porous media,” Int. J. Heat Mass Transfer, vol. 37, 1994, pp. 2025–2033.
[13] Z. Guo, S. Y. Kim and H. J. Sung, “Pulsating flow and heat transfer in a pipe partially filled with a porous medium,” Int. J. Heat Mass Transfer, vol. 40, 1997, pp. 4209–4218.
[14] H. L. Fu, K. C. Leong, X. Y. Huang and C. Y. Liu, “An experimental study of heat transfer of a porous channel subjected to oscillating flow,” ASME J. Heat Transfer, vol. 123, 2001, pp. 163–170.
[15] K. C. Leong and L. W. Jin, “Effect of oscillatory frequency on heat transfer in metal foam heat sinks of various pore densities,” Int. J. Heat Mass Transfer, vol. 49, 2006, pp. 671–681.
[16] M. T. Pamuk and M. Özdemir, “Heat transfer in porous media of steel balls under oscillating flow,” Exp. Therm. Fluid Sci., vol. 42, 2012, pp. 79–92.
[17] N. Targui and H. Kahalerras, “Analysis of a double pipe heat exchanger performance by use of porous baffles and pulsating flow,” Energy Conv. Manage., vol. 76, 2013, pp. 43–54.
[18] K. Vafai and C. L. Tien, “Boundary and inertia effects on flow and heat transfer in porous media,” Int. J. Heat Mass Transfer, vol. 24, 1981, pp. 193–203.
[19] S. V. Patankar, “Numerical heat transfer and fluid flow,” New York, McGraw Hill, 1980.