Heat and Mass Transfer in MHD Mixed Convection Flow on a Moving Inclined Porous Plate

Abstract:

: The effects of mixed convection with thermal radiation and chemical reaction on MHD flow of viscous, incompressible and electrically conducting fluid on a moving inclined heated porous plate is analyzed. The non-linear coupled partial differential equations are solved by perturbation technique. The influence of different pertinent parameters such as Grashof number (Gr), modified Grashof number (Gm), magnetic field parameter (M), heat source parameter (), chemical reaction parameter (γ), Schmidt number (Sc) and angle of inclination () on velocity, temperature and concentration distribution have been studied and analyzed with the help of graphs. An analysis of the coupled heat and mass transfer phenomena is provided in detail. We observed that velocity decreases for increasing values of the angle of inclination α. The results of the present study are compared with the results obtained by Chaudhary et al. [1], and Dulal et al. [4] in the absence of angle of inclination, our results appear to be in good agreement with the existing results. Key words: Heat and mass transfer, Viscous and Ohmic dissipation, Radiation, Chemical reaction, Inclined, Porous plate.

• Periodical: International Journal of Engineering Research in Africa (Volume 20)
• Pages: 144-160
• DOI: https://doi.org/10.4028/www.scientific.net/JERA.20.144
• Online since: October 2015
• Authors: C. Veeresh, S. Vijaya Kumar Varma, B. Rushi Kumar, A.G. Vijaya Kumar
• Keywords: Chemical Reaction, Heat, Inclined, Mass Transfer, Ohmic Dissipation, Porous Plate, Radiation, Viscous

References

[1] Singh P. K, heat and mass transfer in MHD boundary layer flow past an inclined plate with viscous dissipation in porous medium, International Journal of Scientific & Engineering Research, Volume 3 (6) (2012, 1-11.

DOI: 10.18034/ei.v2i1.130

[2] Sparrow. E.M., Eichhorn. R and Grigg.J. L, Combined And Free Convection In A Boundary Layer, Physics of Fluids, Vol. 2, (319-320), (1959).

DOI: 10.1063/1.1705928

[3] Chaudhary. R.C., Sharma B.K. and Jha A.K., Radiation effect with simultaneous thermal and mass diffusion in MHD mixed convective flow., Rom j Phys, Vol. 51, (2006), 715- 727.

[4] Pal D, Talukdar, B, Buoyancy and chemical reaction effects on mhd mixed convection heat and mass transfer in a porous medium with thermal radiation and Ohmic heating., Commun Nonlinear Sci Numer Simulat, Vol. 15, (2010), 2878-2893.

DOI: 10.1016/j.cnsns.2009.10.029

[5] Cheng. P., Combined free and forced convection flow about inclined surfaces in porous media, Int. J. Heat Mass Transfer, Vol. 20, (1977), 807-814.

DOI: 10.1016/0017-9310(77)90110-7

[6] Mansour. M. A., El-Anssary. N. F and Aly. A. M, chemical reaction and magnetohydrodynamic effects on free convection flow past an inclined surface in a porous medium, Journal of porous Media, Vol. 13 (2010), 87-96.

DOI: 10.1615/jpormedia.v13.i1.80

[7] Chen. C.H., Heat and mass transfer in MHD flow by natural convection from a permeable inclined surface with variable wall temperature and concentration, Acta Mech Vol. 172, (2004), 219- 235.

DOI: 10.1007/s00707-004-0155-5

[8] Hossain. M. A., Pop. I and Ahmed. M MHD free convection flow from an isothermal plate inclined at a small angle to the horizontal, J. Theo. Appl. Fluid Mech., Vol. 1, (1996), 194-207.

[9] Pal D and Talukdar B, Pertubation analysis of unsteady magneto hydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction., Commun Nonlinear Sci Numer Simulat, Vol. 15, (2010).

DOI: 10.1016/j.cnsns.2009.07.011

[10] Noor N. F. M, Abbasbandy S and Hashim I, Heat and mass transfer of thermophoresis MHD flow over an inclined radiate isothermal permeable surface in the presence of heat Source/sink., Int J Heat Mass Transf Vol. 55, (2012), 2122– 2128.

DOI: 10.1016/j.ijheatmasstransfer.2011.12.015

[11] Bhuvaneswari M, Sivasankaran S and Kim Y.J., Exact analysis of radiation convective flow heat and mass transfer over an inclined plate in a porous medium., World Appl Sci J , Vol. 10 (2010), 774–778.

[12] Ziyauddin and Kumar M, Radiation effect on unsteady MHD heat and mass transfer flow on a moving inclined porous heated plate in the presence of chemical reaction, Int J Math Modell Simul Appl Vol. 3, (2010), 155–163.

[13] Alam, M.S., Rahman, M. M and Sattar, M.A. On the effectiveness of viscous dissipation and Joule heating on steady magneto hydrodynamic heat and mass transfer flow over an inclined radiate isothermal permeable surface in the presence of thermophoresis, Commun Nonlinear Sci. Numer Simul, Vol. 14, (2009).

DOI: 10.1016/j.cnsns.2008.06.008

[14] Ganesan and Palani, G. Finite difference analysis of unsteady natural convection MHD flow past an inclined plate with variable surface heat and mass flux., Int J Heat Mass Transfer Vol. 47, (2004), 4449-4457.

DOI: 10.1016/j.ijheatmasstransfer.2004.04.034

[15] Orthan A and Ahmet K, MHD Mixed Convective Heat Transfer Flow about an Inclined Plate,. Int. l Journal of Heat and Mass Transfer. Vol. 46, (2009), 129-136.

DOI: 10.1007/s00231-009-0551-4

[16] Reddy, N. A, Varma, S.V.K., and Raju, M.C., Thermo diffusion and chemical effects with simultaneous thermal and mass diffusion in MHD mixed convection flow with Ohmic heating,., Journal of Naval Architecture and Marine Engineering, Vol. 6, No. 2, 2009, 84-93.

DOI: 10.3329/jname.v6i2.3761

[17] Reddy, T.S., Raju, M.C., & Varma, S.V.K., Unsteady MHD radiative and chemically reactive free convection flow near a moving vertical plate in porous medium, JAFM, Vol. 6, no. 3, pp.443-451, (2013).

DOI: 10.36884/jafm.6.03.21306

[18] Raju, K.V.S., Reddy, T.S., Raju, M. C, Satyanarayana, P.V., and Venkataramana, S., MHD convective flow through porous medium in a horizontal channel with insulated and impermeable bottom wall in the presence of viscous dissipation and Joule's heating", Ain Sham, s engineering Journal, (2014).

DOI: 10.1016/j.asej.2013.10.007

[19] Ravikumar, V., Raju, M.C., Raju G.S.S., Combined effects of heat absorption and MHD on convective Rivlin-Ericksen flow past a semi-infinite vertical porous plate, Ain Shams Engineering Journal, (2014).

DOI: 10.1016/j.asej.2013.12.014

[20] Raju, M.C., Reddy, N.A., Varma, S.V.K., Analytical study of MHD free convictive, dissipative boundary layer flow past a porous vertical surface in the presence of thermal radiation, chemical reaction and constant suction, Ain Shams Engineering Journal, Vol. 5 (4), 2014, 1361-1369. DOI: 10. 1016/j. asej. 2014. 07. 005.

DOI: 10.1016/j.asej.2014.07.005

[21] Mamtha, B., Raju, M.C., and Varma, S.V.K. Thermal diffusion effect on MHD mixed convection unsteady flow of a micro polar fluid past a semi-infinite vertical porous plate with radiation and mass transfer, International Journal of Engineering Research in Africa, Vol. 13 (2015).

DOI: 10.4028/www.scientific.net/jera.13.21

[22] Reddy, S.H., Raju, M.C., Reddy, E.K., Unsteady MHD free convection flow of a Kuvshinski fluid past a vertical porous plate in the presence of chemical reaction and heat source/sink, International Journal of Engineering Research in Africa Vol. 14 (2015).

DOI: 10.4028/www.scientific.net/jera.14.13

[23] Ali F, Khan I, Samiulhaq, Shafie S (2013) Conjugate Effects of Heat and Mass Transfer on MHD Free Convection Flow over an Inclined Plate Embedded in a Porous Medium. PLoS ONE 8(6): e65223. doi: 10. 1371/journal. pone. 0065223.

DOI: 10.1371/journal.pone.0065223