### Radiation and Diffusion Thermo Effects of Visco-Elastic Fluid Past a Porous Surface in the Presence of Magnetic Field and Chemical Reaction with Heat Source

#### Abstract

An analysis of two dimensional free convective hydro-magnetic flow of an electrically conducting visco-elastic fluid past a vertical porous surface has been studied in the presence of magnetic field and chemical reaction of first order with heat source. Simultaneously effects of heat and mass transfer are also studied in combination of the physics of diffusion thermo (Dufour effect) and suction at the plate is assumed to be constant. The equations governing are solved by perturbation technique. Analytical expressions for velocity, temperature and concentration fields, non-dimensional skin friction coefficient and Nusselt number are obtained. The results are analyzed graphically for various values of visco-elastic parameter along with a combination of other flow parameters involved in the solution.

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Chen, C H. On the analytic solution of MHD flow and heat transfer for two types of viscoelastic fluid over a stretching sheet with energy dissipation. Int. J. Heat Mass Transfer, 53, 2010, pp. 4264-4273

Dulal Pal and Hiranmoy Mondal. Soret and Dufour effects on MHD non-Darcian mixed convection heat and mass transfer over a stretching sheet with non-uniform heat source/sink , Physica B, 407, 2012, pp. 642–651

Dulal Pal and Sewli Chatterjee (2014): MHD mixed convective heat and mass transfer in a visco elastic fluid in a porous medium towards a stretching sheet with viscous-ohmic heating and chemical reaction, The Canadian journal of chemical engineering, Vol. 92, 2011

Andersson, H I. Acta Mech., 95, 1992, p. 227.

Vajravelu, K and Roper, T. Flow and heat transfer in a second grade fluid over a stretching sheet, International Journal Non-Linear Mech., 34, 1999, pp. 1031–1036.

Rajagopal, K R and Gupta, A S. An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate, Meccanica, 19, 1984, pp. 158–160.

Rajagopal, K R. On boundary conditions for fluids of the differential type, in: A. Sequeira (Ed.), Navier Stokes Equations and Related non- Newtonian Fluid.

Rajagopal, K R. On the creeping flow of second order fluid, J. Non-Newtonian Fluid Mech. 15, 1994, pp. 239–246.

Linear Problems, Plenum Press, New York, 1995, pp. 273–278.

Abel, M S, Khan, S K and Prasad, K V. Int. J. Numer. Methods Heat Fluid Flow, 11, 2011, p. 779.

Char, M I. Heat and mass transfer in a hydromagnetic flow of the viscoelastic fluid over a stretching sheet, J. Math. Anal. Appl. 186, 1994, pp. 674–689.

Sarma, M S and Rao, B N. Heat transfer in a viscoelastic fluid over a stretching sheet, J. Math. Anal. Appl. 222, 1998, pp. 268–275.

Makinde, O D. Int. J. Numer. Methods Heat Fluid Flow, 19, 2009, p. 546.

Makinde, O D and Charles. W M. Appl. Comput. Math.—Appl. Comput. Math, 9, 2010, p. 243.

Sibanda, P and Makinde, O D. (2010): Int. J. Numer. Methods Heat Fluid Flow, 20, p. 269.

Cortell, R. A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet, Internat. J. Non-Linear Mech., 41, 2005, pp. 78–85.

Rafael Cortell Bataller. Effects of heat source/sink, radiation and work done by deformation on flow and heat transfer of a viscoelastic fluid over a stretching sheet, Computers and Mathematics with Applications, 53, 2007, pp. 305–316

Rita Choudhury and Sajal Kumar Das. Visco-Elastic MHD fluid flow over a vertical plate with Dufour and Soret effects, International Journal of Scientific & Engineering Research, Vol. 4 (7), 2013, pp. 11-17

Abel, S, Joshi, M and Sonth, R M. Heat transfer in MHD visco-elastic fluid over a stretching surface, Z. Angew. Math. Mech. 81, 2001, pp. 691–698.

Abel, S and Veena P H. Viscoelastic fluid flow and heat transfer in a porous medium over a stretching sheet, Internat. J. Non-Linear Mech. 33, 1998, pp. 531–540.

Chenna Kesavaiah, D, Satyanarayana, P V, Sudhakaraiah, A and Venkataramana, S. Natural convection heat transfer oscillatory flow of an elastico-viscous fluid from vertical plate, IJRET, Vol. 2 (6), 2013, pp. 959-966

Ch Kesavaiah, D, Satyanarayana, P V and Venkataramana, S. Effects of the chemical reaction and radiation absorption on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction, Int. J. of Appl. Math and Mech. Vol. 7 (1), 2011, pp. 52-69

Bhavana, M and Chenna Kesavaiah, D. Perturbation solution for thermal diffusion and chemical reaction effects on MHD flow in vertical surface with heat generation, International Journal of Future Revolution in Computer Science & Communication Engineering, Vol. 4 (1), 2018, pp. 215-220

Bhavana, M, Chenna Kesavaiah, D and Sudhakaraiah, A. The Soret effect on free convective unsteady MHD flow over a vertical plate with heat source, International Journal of Innovative Research in Science, Engineering and Technology, Vol. 2 (5), 2013, pp. 1617-1628

Srinathuni Lavanya, Chenna Kesavaiah, D and Sudhakaraiah, A. Radiation, heat and mass transfer effects on magnetohydrodynamic unsteady free convective Walter’s memory flow past a vertical plate with chemical reaction through a porous medium, International Journal of Physics and Mathematical Sciences, Vol. 4 (3), 2014, pp. 57-70

Mallikarjuna Reddy, B, Chenna Kesavaiah, D and Ramana Reddy, G V. Effects of radiation and thermal diffusion on MHD heat transfer flow of a dusty viscoelastic fluid between two moving parallel plates, ARPN Journal of Engineering and Applied Science, Vol. 13 (22), 2018, pp. 8863

DOI: https://doi.org/10.24203/ajas.v7i5.5919

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