Abstract
The paper addresses a mixed convection boundary layer flowing on a horizontal surface embedded in porous medium with exponentially decaying internal heat generation (IHG) and internal mass generation (IMG) from a specific component with chemical reaction in order to investigate the heat and mass transfer characteristics. Corresponding similarity solutions are used to reduce the governing partial nonlinear differential equations to three ordinary differential equations for the dimensionless stream function, temperature, and concentration with the following parameters: mixed convection parameter \(\varepsilon\), chemical reaction parameter \(\gamma_1\), and Lewis number \(Le\). The influences of these parameters on the velocity, temperature and concentration profiles, and Sherwood and Nusselt numbers are thoroughly compared and graphically illustrated. Computations are performed with a system of parameters using built-in codes in Maple. Media with and without IHG and IMG are compared with available open literature using graphs and tables and are found to be in excellent agreement.
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REFERENCES
Postelnicu, A. and Pop, I., Similarity Solutions of Free Convection Boundary Layers over Vertical and Horizontal Surfaces in Porous Media with Internal Heat Generation, Int. Commun. Heat Mass Transfer, 1999, vol. 26, no. 8, pp. 1183–1191.
Postelnicu, A., Grosan, T., and Pop, I., Free Convection Boundary-Layer over a Vertical Permeable Flat Plate in a Porous Medium with Internal Heat Generation, Int. Commun. Heat Mass Transfer, 2000, vol. 27, no. 5, pp. 729–738.
Postelnicu, A., Grosan, T., and Pop, I., The Effect of Variable Viscosity on Forced Convection over a Horizontal Flat Plate in a Porous Medium with Internal Heat Generation, Mech. Res. Commun., 2001, vol. 28, pp. 331–337.
Bagai, S., Similarity Solutions of Free Convection Boundary Layers over a Body of Arbitrary Shape in a Porous Medium with Internal Heat Generation, Int. Commun. Heat Mass Transfer, 2003, vol. 30, no. 7, pp. 997–1003.
Magyari, E., Pop, I., and Postelnicu, A., Effect of the Source Term on Steady Free Convection Boundary Layer Flows over a Vertical Plate in a Porous Medium. Part I, Transport Por. Media, 2007, vol. 67, pp. 49–67.
Magyari, E., Pop, I., and Postelnicu, A., Effect of the Source Term on Steady Free Convection Boundary Layer Flows over a Vertical Plate in a Porous Medium. Part II, Transport Por. Media, 2007, vol. 67, pp. 189–201.
Mealey, L.R. and Merkin, J.H., Free Convection Boundary Layers on a Vertical Surface in a Heat-Generating Porous Medium, IMA J. Appl. Math., 2008, vol. 73, pp. 231–253.
Merkin, J.H., Free Convection Boundary-Layer Flow in a Heat-Generating Porous Medium: Similarity Solutions, Quart. J. Mech. Appl. Math., 2008, vol. 61, pp. 205–218.
Cheng, P., Similarity Solutions for Mixed Convection from Horizontal Impermeable Surfaces in Saturated Porous Media,Int. J. Heat Mass Transfer, 1977, vol. 61, pp. 205–218.
Ferdows, M. and Liu, D., Similarity Solutions on Mixed Convection Heat Transfer from a Horizontal Surface Saturated in a Porous Medium with Internal Heat Generation, Int. J. Appl. Mech. Engin., 2017, vol. 22, no. 1, pp. 253–258.
Akter, R., Ferdows, M., and Miyara, A., Effect of Internal Heat Generation and Concentration Change on Free Convection Boundary Layer from Vertical Flat Plate Embedded in Porous Medium, J. Eng. Therm., 2019, vol. 28, no. 3, pp. 410–430. 2019).
Crepeau, J.C. and Clarksean, R., Similarity Solutions of Natural Convection with Internal Heat Generation, ASME J. Heat Transfer, 1997, vol. 119, pp. 183–185.
Bird R.B., Stewart W.E., and Lightfoot E.N., Transport Phenomena, Wiley, 1992, pp. 609–620.
Maple 8.00, Waterloo Maple, 2002.
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Akter, R., Miyara, A. Mixed Convection Boundary Layer on Horizontal Surface Embedded in Porous Medium with Internal Heat Generation and Concentration Change. J. Engin. Thermophys. 29, 518–529 (2020). https://doi.org/10.1134/S1810232820030157
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DOI: https://doi.org/10.1134/S1810232820030157