Document Type : Research Paper

Authors

1 Department of Mathematics, Priya Darshini Institute of Technology, Tirupati, Andhra Pradesh, India-517507

2 Department of Mathematics, Annamacharya Institute of Technology and Sciences Rajampet (Autonomous), Rajampet, Kadapa District, Andhra Pradesh, India- 516126

3 Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India – 517502

Abstract

In the present paper, an analysis was carried out to investigate effects of radiation on a free convection flow bounded by a vertical surface embedded in a porous medium with constant suction velocity. It was under the influence of uniform magnetic field in the presence of a homogenous chemical reaction and viscous dissipation with constant heat and mass flux. The non-dimensional governing equations were solved analytically and the expressions were found for velocity, temperature and concentration fields. Also, the expression for skin friction near the plate was derived and the results were discussed in a table.  

Keywords

Main Subjects

[1] V. M. Soundalgekhar, S. K. Gupta and N. S. Birajdar, “Effects of mass transfer and free convection flow past currents on MHD stokes problem for a vertical plate”, Nuclear Eng. Des., Vol. 53, pp. 339-346, (1981).
[2] V. M. Soundalgekar and H. S.Takhar, “Radiative convective flow past a semi-infinite vertical plate”, Modelling Measure and Cont., Vol. 51, pp. 31-40, (1992).
[3] H. S. Tahkar, S. R. Gorla and V. M. Soundalgekar, “Radiation effects on MHD free convection flow of a radiating gas past a semi-infinite vertical plate”, Int. J. Numerical Methods heat fluid flow, Vol. 6, pp. 77-83, (1996).
[4] A. M. Hossain, M. A. Alim and D. A. S. Rees, “Effect of radiation on free convection from a porous a vertical plate”, Int.J.Heat Mass Transfer, Vol. 42, pp. 181-191, (1999).
[5] R. Muthucumarswamy and G. S. Kumar, “Heat and Mass Transfer effects on moving vertical plate in the presence of thermal radiation”, Theoret. Appl. Mach., Vol. 31, No. 1, pp.35-46, (2004).
[6] E. Magyari, I. Pop and B. Keller, “Analytical solutions for unsteady free convection flow through a porous media”, J.Eng. math., Vol. 48, pp. 93-104, (2004).
[7] A. J. Chamaka , “Hydro magnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid saturated porous medium”, Int. J. Num.Methods for heat and fluid flow, Vol. 10, No. 5, pp. 455-476, (2000).
[8] M. K. Mzumdar and R. K. Deka, “MHD flow past an impulsively started infinite vertical plate in presence of thermal radiation”, Rom. Journ. Phys., Vol. 52, Nos. 5-7. pp. 565-573, (2007).
[9] E. L. Cussler, “Diffusion Mass transfer in Fluid systems”, Cambridge University press, London, (1988).
[10] H. S. Takhar, A. J. Chamkha and G. Nath, “Flow and Mass Transfer on a stretching sheet with a magnetic field and chemically reactive species”, Int.J.Eng.Sci., Vol. 38, No. 12, pp.1303-1314, (2000).
[11] R. Muthucumarswamy and P. Ganesan, “Effect of chemical reaction and injection on flow characteristics in an unsteady upward motion of an isothermal plate”, J.Appl.mech.Tech. Phys., Vol. 42, No. 4, pp. 665-671, (2001).
[12] A. J. Chamkha, “MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction”, Int.Commun. Heat mass transfer, Vol. 30, No. 3, pp. 413-422, (2003).
[13] P. C. Ram, “Effects of Hall and ion-slips currents on free convective heat generating flow in a rotating fluid”, Int. J. of energy research, Vol. 19, pp. 371-376, (1995).
[14] A. Mohamed, M. SeddeekEmad  and D. Aboel,  “Radiation effects on unsteady MHD free convection with hall current near an infinite vertical porous plate”, Int.J. Mathematics and Mathematical Sciences, Vol. 26, No. 4, pp. 249-255, (2001).
[15] R. C. Chaudhary and J. Preeti, “Hall effect on MHD mixed convection flow of a visco-elastic fluid past an infinite vertical porous plate with mass transfer and radiation”, Theoret. Appl. Mech., Vol. 33, No. 4, pp. 281-309, (2006).
[16] N. Ahmed, H. Kalita and D. P. Barua , “Unsteady MHD free convective flow past a vertical porous plate immersed in a porous medium with Hall current, thermal diffusion and heat source”, International Journal of Engineering, Science and Technology, Vol. 2, No. 6, pp. 59-74, (2010).
[17] R. C. Chaudhary, P. Jain, “Hall effect on MHD mixed convection flow of a visco-elastic fluid past an infinite vertical porous plate with mass transfer and radiation”, Ukr. J. Phys., Vol. 52, No. 10, pp. 1001-1010, (2007).
[18] I. A. Abdulla, “Analytic solution of heat and mass transfer over a permeable stretching plate affected by chemical reaction, internal heating,  Dufour-Soret effect and Hall effect”, Thermal science, Vo. 13, No.2, pp. 183-197, (2009).
[19] M. C. Raju, N. A. Reddy and S. V. K.  Varma,  “Hall current effects on unsteady MHD flow between stretching sheet and an oscillating porous upper parallel plate with constant suction”, Thermal science, Vol. 15, No. 2 , pp. 527-536, (2011).
[20] R. Muthucumarswamy, “Effects of chemical reaction on a moving isothermal vertical surface with suction”, ActaMech, 155, 65-70, (2002).
[21] K. Manivannan , R. Muthucumarswamy and V. Thangaraj , “Radiation and chemical reaction effects on isothermal vertical oscillating plate with variable mass diffusion”, Thermal science, Vol. 13, No. 2, pp. 155-162, (2009).
[22] P. R. Sharma, N. Kumar and   P.  Sharma, “Influence of chemical reaction and radiation on unsteady MHD free convection flow and mass transfer through viscous incompressible fluid past a heated vertical plate immersed in porous medium in the presence of heat source”, Appl. Math. Sciences, Vol. 5, No.46, pp. 2249-2260, (2011).
[23] B. Vasu, V. R.  Prasad. and N.  Bhaskarreddy, “Radiation and mass transfer  effects on transient  free convection flow  of a dissipative fluid past semi-infinite vertical plate with uniform heat and mass constant flux”,  J. Appl. FludMechnics, Vol. 4, No. 1, pp. 15-26, (2011).
[24] R. Saravana, S.reekanth, S. Sreenadh  and S. Hemadri Reddy, “Mass transfer effects on MHD viscous flow past an impulsively started infinite vertical plate with constant mass flux”, Advances in Appl . Research, Vol. 2, No. 1, pp. 221-227, (2011).
[25] O. D. Makinde, “On MHD boundary-layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux”, Int. J. Numerical methods for Heat and Fluid flow, Vol. 9, No.3, pp. 547-554, (2009).
[26] M. Mahapatra,  G. C. Dash, S. Panda and M. Acharya, “ Effects of chemical reaction on free convection flow through a porous medium bounded by a vertical surface”, Journal of Engineering Physics and Thermophysics, Vol. 83, No. 1, pp. 130-140, (2010).
[27] M. C. Raju, S.V.K.  Varma and N. A.  Reddy, “Radiation and mass transfer effects on a free convection flow through  porous medium bounded  by a  vertical          surface”, i-manager journal of Future engineering and technology, Vol.7, No,2, pp.7-12, (2011).
CAPTCHA Image