Abstract
We analyze the combined influence of thermodiffusion and diffusion heat transfer flow of a chemically reacting viscous fluid through a porous medium in a vertical channel under the influence of the transverse magnetic field. The nonlinear coupled equations governing the flow of the heat and mass transfers have been called by using Galerkin finite element analysis with a quadratic approximation function. The velocity, temperature, concentration, and rate of heat and mass transfers are analyzed for the different values of G, M, D −1, N, Sc, S 0, Du, α, and γ. It is found that an increase in S 0 and Du enhances the velocity, temperature, and concentration. An increase in the chemical reaction in γ depreciates a velocity and concentration and enhances a temperature in the degenerating chemical reaction and in the generating chemical reaction case the velocity, concentrations are enhanced and temperature is depreciation.
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References
Cheng, P.: Heat transfer in geothermal systems. In: Advances in Heat Transfer, vol. 4, pp. 1–105. Academic, New York (1978)
Prasad, V., Tuntomo, A.: Inertia effects on natural convection in a vertical porous cavity. Numer. Heat Tran. 11, 295–320 (1987)
Vafai K., Tien, C.L.: Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Tran. 24, 195–203 (1981)
Vafai, K., Thyagaraju, R.: Analysis of flow and heat transfer at the interface region of a porous medium. Int. J. Heat Mass Tran. 30, 1391–1405 (1987)
Tien, C.L., Hong, J.T.: Natural convection in porous media under non-Darcian and non-uniform permeability conditions. In: Kakac et al. (eds.) Natural Convection. Hemisphere, Washington, DC (1985)
Prasad, V., Kulacki, F.A., Keyhani, M.: Natural convection in a porous medium. J. Fluid Mech. 150, 89–119 (1985)
Kalidas, N., Prasad Benard V.: International symposium of convection in porous media, non-Darcy effects. In: Proceedings of 25th National Heat Transfer Conference, vol. 1, pp. 593–604 (1988)
Tong, T.L., Subramanian, E.: A boundary layer analysis for natural correction in porous enclosures: use of the Brinkman-extended Darcy model. Int. J. Heat Mass Tran. 28, 563–571 (1985)
Laurait, G., Prasad, V.: Natural convection in a vertical porous cavity: a numerical study of Brinkman-extended Darcy formulation. J. Heat Tran. 109, 688–696 (1987)
Beckermann, C., Viskanta, R., Ramadhyani, S.: A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium. Numer. Heat Tran. 10, 557–570 (1986)
Kafoussias, N.G., Williams, E.M.: Thermal-diffusion and diffusion-thermo effects on free convective and mass transfer boundary layer flow with temperature dependent viscosity. Int. J. Eng. Sci. 33, 1369–1376 (1995)
Anghel, M., Takhar, H.S., Pop, I.: Dufour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium. J. Heat Mass Tran. 43, 1265–1274 (2000)
Postelnicu, A.: Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Int. J. Heat Mass Tran. 47, 1467–1472 (2004)
Alam, M.S., Rahman, M.M.: Dufour and Soret effects on mixed convection flow past a vertical porous flat plate with variable suction. Nonlinear Anal. Model. Control 11, 3–12 (2006)
Nagaleelakumari, S.: Combined influence of chemical reaction and Soret effect on hydrodynamic non-Darcy convective heat and mass transfer flow through a porous medium in a vertical channel with heat generating sources. Ph.D thesis, S P Mahila University, Tirupati (2012)
Muralidhar, P.: Effect of chemical reaction and thermo diffusion on convective heat and mass transfer flow of viscous fluid through a porous medium in a vertical channel. Ph.D thesis, Andhra University, Vishakapatnam (2012)
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Sreedevi, G., Rao, D.R.V.P., Rao, R.R. (2014). Numerical Study of Convective Heat and Mass Transfer Flow in Channels. In: Ansari, A. (eds) Advances in Applied Mathematics. Springer Proceedings in Mathematics & Statistics, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-319-06923-4_11
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DOI: https://doi.org/10.1007/978-3-319-06923-4_11
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