Effects of Thermal Diffusion and Radiation on Magnetohydrodynamic (MHD) Chemically Reacting Fluid Flow Past a Vertical Plate in a Slip Flow Regime

Document Type: Research Paper

Authors

1 Department of Mathematics, Sri Venkateswara University, Tirupati-517 502, A.P, India

2 Department of Humanities and Sciences (Mathematics), Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet-516 126, A.P, India

3 Department of Mathematics, Vellore Institute of Technology, Vellore-632 014, Tamil Nadu, India

Abstract

An analysis has been conceded to study the effects of Soret and thermal radiation effects on the magnetohydrodynamic convective flow of a viscous, incompressible, electrically conducting fluid with heat and mass transfer over a plate with time-dependent suction velocity in a slip flow regime in the presence of first-order chemical reaction. The slip conditions at the boundaries for the governing flow are taken for the velocity and temperature distributions and a uniform magnetic field of strength is applied normal to the flow direction. The free stream velocity is assumed to be subject to follow an exponentially small perturbation law. Analytical solutions are obtained for velocity, temperature and concentration fields for the governing partial differential equations depending on slip flow boundary circumstances by using the traditional perturbation method.

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Main Subjects

[1] Seddeek. M. A., Thermal radiation and buoyancy effects on MHD free convective heat Generating flow over an accelerating permeable surface with temperature dependent viscosity, Canad. J. Phys. 79 (2001) 725-732.

[2] Makinde, O. D., On MHD boundary layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux, Int. J. Num. Methods for Heat and Fluid Flow 19 (2009) 546-554.

[3] Mbeledogu, L. U., Amakiri, A. R. C., and Ogulu, A., Unsteady MHD free convection flow of a compressible fluid past a owing vertical plate in the presence of rediative heat transfer, Int. J. of Heat and Mass Transfer 50 (2007) 1668-1674.   

[4] Chamkha, A. J., Unsteady MHD convection heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption, Int. J. Engg. Sci. 42 (2004) 217-230.

[5] Chambre, P. L.,  Young, J. D., On the diffusion of chemically reactive species in a laminar  boundary layer flow, Physics of Fluids 1 (1958) 48-54.  

[6] Das, U. N., Deka, R., Soundalgekar, V. M.,  Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction, Forschung im Ingenieurwesen 60 (1994) 284-287.

[7] Muthucumarswamy, R., Ganesan, P., Effect of the chemical reaction and injection on the flow characteristics in an unsteady upward motion of an isothermal plate, Journal of Applied Mechanics and Technical Physics 42 (2001) 665-67.

[8] Ibrahim, S. Y., Makinde, O. D., Chemically reacting MHD boundary layer flow of heat and mass transfer over a moving vertical plate with suction, Sci. Res. Essays 5 (2010) 2875- 2882.

[9] Prakash, J., Sivaraj, R., Kumar, B. R., Influence of chemical reaction on unsteady MHD mixed convective flow over a moving vertical plate, Int. J. Fluid Mech. 3 (2011) 1-14.  

[10] Mittal, P. K., Bijalwan, M., A study of vorticity of fluctuating flow of an visco-elastic fluid  past an infinite plate with variable suction in slip flow regime, Acta Ciencia Indica 34(M) (2005) 903, 2005.

[11] Rajput, U. S., Varshney, N. K., Rajput, D., Free convection flow of magneto polar fluid through porous medium in slip flow regime with mass transfer, Acta Ciencia Indica 34(M5) (2008) 2045.

[12] Pal, D., Talukdar, B., Perturbation 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, Communications in Nonlinear Science and Numerical Simulation 15 (2010) 1810-1813

[13] Devi, S. P. A., Raj, J. W. S., Thermo diffusion effects on unsteady hydro magnetic free  convection flow with heat and mass transfer past a moving vertical plate with time dependent suction and heat source in a slip flow regime, Int. J. of Appl. Math. Mech. 7 (2011) 20-25.

[14] Raju, M. C., Varma, S. V. K., and Reddy, N. A., MHD Thermal diffusion natural convection between heated inclined plates in porous medium, i-Manager’s Journal of Future Engineering and Technology 6(2) (2011) 45-47.

[15] Zhang, J. K., Li, B. W., Dong, H., Luo, X. H., and Lin, H., Analysis of magnetohydrodynamic natural convection in 2D and 3D cavity with thermal radiation effects, International Journal of Heat and Mass Transfer 112 (2017) 216–223.

[16] Li, B. W., Wang, W., and Zhang, J. K., Combined effects of magnetic field and thermal radiation on fluid flow and heat transfer of mixed convection in a vertical cylindrical annulus, ASME Journal of Heat Transfer 138 (2016) 1-13.

[17] Zhang, J. K., Li, B. W., and Hu, Z. M., Effects of optical parameters on fluid flow and heat transfer of participating magnetic fluid, International Journal of Heat and Mass Transfer 59 (2013) 126–136.