Radiation Effects on the Unsteady MHD Free Convection Flow Past in an Infinite Vertical Plate with Heat Source
Unsteady effects of MHD free convection flow past in an infinite vertical plate with heat source in presence of radiation with reference to all critical parameters that appear in field equations are studied in this paper. The governing equations are developed by usual Boussinesq’s approximation. The problem is solved by using perturbation technique. The results are obtained for velocity, temperature, Nusselt number and skin-friction. The effects of magnetic parameter, prandtl number, Grashof number, permeability parameter, heat source/sink parameter and radiation parameter are discussed on flow characteristics and shown by means of graphs and tables.
[1] Mansour, M.A., Radiation and free convection effects on the oscillatory flow past a vertical plate, Astrophysics and Space Science, 166, 1990, pp.269-275.
[2] Vajravelu, K., Hadjinicolaou, A., Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation, Int, Comm. Heat Mass Transfer,20,1993,pp.417-430.
[3] Soundalgekar, V. M., Das, U. N. and Deka, R. K., Free convection effects on MHD flow past an infinite vertical oscillating plate with constant heat flux, Indian J. Math, 39(3), 1997,pp. 195-202.
[4] Helmy, K. A., MHD unsteady free convective flow past a vertical porousplate. ZAMP, Z. Angew Math. Mech., 78(4), 1998, pp. 255-270.
[5] Hossain, M. A., Das, S.K. and Pop, I., Heat transfer response of MHD free convective flow along a vertical plate to surface temperature oscillation,, Int. J. Non-Linear Mech., 33(3), 1998,pp. 541-553.
[6] Kim, Y. J., Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction, Int. J. Eng. Sci., 38, 2000, pp.833-841.
[7] Abd El-Naby, M. A., Elbarbary, E. M. E. and Abdelazem,N. Y., Finite difference solution of radiation effects on MHD unsteady free- convection flow over vertical plate with variable surface temperature. J. Appl. Math., 2, 2003, pp. 65-86.
[8] Zhang, X. R., Mauryaama, S. and Sakai, S., Numerical investigation of laminar natural convection on a heated vertical plate subjected to a periodic oscillation. Int. J. Heat and Mass transfer, Int. J. Heat and Mass transfer, 47(19-20), 2004, pp. 4439-4448.
[9] Pathak, G., Maheshwari, C. H. and Gupta, S.P., Effects of radiation on unsteady free convection flow bounded by an oscillating plate with variable temperature, IJAME, 11(2), 2006, pp. 371-382.
[10] Chandrakala, P. and Antony Raj, S., Radiation effects on MHD flow past an implusively started vertical plate with uniform heat flux, Indian J. Math, 50(3),2008, pp.519-532.
[11] Chandrakala, P. and Bhaskar, P.N., Thermal radiation effects on MHD flow past a vertical oscillating plate. Int. J. Appl. Mech. Engg., 14(2), 2009, pp.349-358.
[12] Kumar, H., Radiative Heat transfer with hydro magnetic flow and viscous dissipation over a stretching surface in the presence of variable heat flux Thermal Science,13(2),2009,pp.163-169.
[13] Toki, C.J., Unsteady free convection flow on a vertical oscillating porous plate with constant heating. Journal of Applied Mechanics, 76(1), 2009, pp.4-12.
[14] Anjali Devi, S. P., Ganga, B., Dissipation effect on MHD flow and heat transfer past a Porous surface with prescribed heat flux, Journal of Applied flux Mechanics, 3, 2010, pp.1-6.
[15] Rani, K. J. and Murthy, Ch.V. R., MHD flow over a moving infinite vertical porous plate with uniform heat flux in the presence of thermal radiation. Adv. Theor. Appl. Math, 6(1), 2011, pp.51-63.
[16] Manna, S.S., Das, S. and Jana, R. N., Effects of radiation on unsteady MHD free convective flow past an oscillating vertical porous plate embedded in a porous medium with oscillatory heat flux. Advances in Applied Science Research, 3(6), 2012, pp.3722-3736.
[17] Senapati, N., Das, T.K. and Dhal, R.K., Radiation effects of MHD free convective heat transfer past an oscillating hot vertical surface in porous, J. of the Orissa math, 31(2), 2012, pp.77-90.
[18] Ahmad, F., Hussain, S., Ali, M., Analytical solution of MHD flow over stretching porous sheet, J. Basic. Appl. Sci. Research, 4(3), 2014, pp.160-167.
[19] Ahmad F., Hussain, S., Alanbari, A. M. and Alharbi, R.S., MHD flow and heat transfer through a porous medium over a stretching/shrinking surface with suction, Sci. Int.(Lahore),27(2),2015,pp.931-935.
[20] Sai, E.R. and Murthy, Ch.V.R., MHD flow over a moving infinite vertical porous plate with uniform heat flux in the presence of thermal radiation, Int. J. of Math. Archives, 9(5), 2018, pp.22-30.
[21] Pai, S.I., Viscous flow theory: I-Laminar flow, D. Van Nostrand Co.New York, U.S.A.,1956.
[22] Jeffery, A., Magnetohydrodynamics, Oliver and Boyed, New York, U.S.A., 1966.
[23] Bansal, J.L., Viscous fluid dynamics, Oxford & IBH Pub.Co., New Delhi, India, 1977.
[24] Bansal, J. L., Magnetofluiddynamics of viscous fluids, Jaipur Pub. House, Jaipur, India, 1994
[25] Schlichting, H., Gersten, K., Boundary layer theory, McGraw-Hill book Co. New York, U.S.A.,1 999.
[1] Mansour, M.A., Radiation and free convection effects on the oscillatory flow past a vertical plate, Astrophysics and Space Science, 166, 1990, pp.269-275.
[2] Vajravelu, K., Hadjinicolaou, A., Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation, Int, Comm. Heat Mass Transfer,20,1993,pp.417-430.
[3] Soundalgekar, V. M., Das, U. N. and Deka, R. K., Free convection effects on MHD flow past an infinite vertical oscillating plate with constant heat flux, Indian J. Math, 39(3), 1997,pp. 195-202.
[4] Helmy, K. A., MHD unsteady free convective flow past a vertical porousplate. ZAMP, Z. Angew Math. Mech., 78(4), 1998, pp. 255-270.
[5] Hossain, M. A., Das, S.K. and Pop, I., Heat transfer response of MHD free convective flow along a vertical plate to surface temperature oscillation,, Int. J. Non-Linear Mech., 33(3), 1998,pp. 541-553.
[6] Kim, Y. J., Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction, Int. J. Eng. Sci., 38, 2000, pp.833-841.
[7] Abd El-Naby, M. A., Elbarbary, E. M. E. and Abdelazem,N. Y., Finite difference solution of radiation effects on MHD unsteady free- convection flow over vertical plate with variable surface temperature. J. Appl. Math., 2, 2003, pp. 65-86.
[8] Zhang, X. R., Mauryaama, S. and Sakai, S., Numerical investigation of laminar natural convection on a heated vertical plate subjected to a periodic oscillation. Int. J. Heat and Mass transfer, Int. J. Heat and Mass transfer, 47(19-20), 2004, pp. 4439-4448.
[9] Pathak, G., Maheshwari, C. H. and Gupta, S.P., Effects of radiation on unsteady free convection flow bounded by an oscillating plate with variable temperature, IJAME, 11(2), 2006, pp. 371-382.
[10] Chandrakala, P. and Antony Raj, S., Radiation effects on MHD flow past an implusively started vertical plate with uniform heat flux, Indian J. Math, 50(3),2008, pp.519-532.
[11] Chandrakala, P. and Bhaskar, P.N., Thermal radiation effects on MHD flow past a vertical oscillating plate. Int. J. Appl. Mech. Engg., 14(2), 2009, pp.349-358.
[12] Kumar, H., Radiative Heat transfer with hydro magnetic flow and viscous dissipation over a stretching surface in the presence of variable heat flux Thermal Science,13(2),2009,pp.163-169.
[13] Toki, C.J., Unsteady free convection flow on a vertical oscillating porous plate with constant heating. Journal of Applied Mechanics, 76(1), 2009, pp.4-12.
[14] Anjali Devi, S. P., Ganga, B., Dissipation effect on MHD flow and heat transfer past a Porous surface with prescribed heat flux, Journal of Applied flux Mechanics, 3, 2010, pp.1-6.
[15] Rani, K. J. and Murthy, Ch.V. R., MHD flow over a moving infinite vertical porous plate with uniform heat flux in the presence of thermal radiation. Adv. Theor. Appl. Math, 6(1), 2011, pp.51-63.
[16] Manna, S.S., Das, S. and Jana, R. N., Effects of radiation on unsteady MHD free convective flow past an oscillating vertical porous plate embedded in a porous medium with oscillatory heat flux. Advances in Applied Science Research, 3(6), 2012, pp.3722-3736.
[17] Senapati, N., Das, T.K. and Dhal, R.K., Radiation effects of MHD free convective heat transfer past an oscillating hot vertical surface in porous, J. of the Orissa math, 31(2), 2012, pp.77-90.
[18] Ahmad, F., Hussain, S., Ali, M., Analytical solution of MHD flow over stretching porous sheet, J. Basic. Appl. Sci. Research, 4(3), 2014, pp.160-167.
[19] Ahmad F., Hussain, S., Alanbari, A. M. and Alharbi, R.S., MHD flow and heat transfer through a porous medium over a stretching/shrinking surface with suction, Sci. Int.(Lahore),27(2),2015,pp.931-935.
[20] Sai, E.R. and Murthy, Ch.V.R., MHD flow over a moving infinite vertical porous plate with uniform heat flux in the presence of thermal radiation, Int. J. of Math. Archives, 9(5), 2018, pp.22-30.
[21] Pai, S.I., Viscous flow theory: I-Laminar flow, D. Van Nostrand Co.New York, U.S.A.,1956.
[22] Jeffery, A., Magnetohydrodynamics, Oliver and Boyed, New York, U.S.A., 1966.
[23] Bansal, J.L., Viscous fluid dynamics, Oxford & IBH Pub.Co., New Delhi, India, 1977.
[24] Bansal, J. L., Magnetofluiddynamics of viscous fluids, Jaipur Pub. House, Jaipur, India, 1994
[25] Schlichting, H., Gersten, K., Boundary layer theory, McGraw-Hill book Co. New York, U.S.A.,1 999.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:79698", author = "Tusharkanta Das and Tumbanath Samantara and Sukanta Kumar Sahoo", title = "Radiation Effects on the Unsteady MHD Free Convection Flow Past in an Infinite Vertical Plate with Heat Source", abstract = "Unsteady effects of MHD free convection flow past in an infinite vertical plate with heat source in presence of radiation with reference to all critical parameters that appear in field equations are studied in this paper. The governing equations are developed by usual Boussinesq’s approximation. The problem is solved by using perturbation technique. The results are obtained for velocity, temperature, Nusselt number and skin-friction. The effects of magnetic parameter, prandtl number, Grashof number, permeability parameter, heat source/sink parameter and radiation parameter are discussed on flow characteristics and shown by means of graphs and tables.
", keywords = "Heat transfer, radiation, MHD, free convection, porous medium, suction.", volume = "14", number = "6", pages = "61-6", }
