The influence of radiation on a steady free convective flow and heat and mass transfer over an isothermal stretching sheet in the presence of a uniform magnetic field is considered with regard to the viscous dissipation effect. The governing partial differential equations are converted into a system of nonlinear ordinary differential ones via similarity transformations. The resulting system of coupled nonlinear ordinary differential equations is solved numerically using the Adams–Moulton predictor–corrector method and the shooting one. The numerical results for the velocity, temperature, and concentration profiles are presented, showing their dependence on the flow parameters. The effect of the radiation and magnetic field parameters on the shear stress and heat flux is discussed.
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E. M. A. Elbashbeshy, Heat transfer over a stretching surface with variable surface heat flux, J. Phys. D: Appl. Phys., 31, 1951–1954 (1998).
B. C. Sakiadis, Boundary layer behavior on continuous solid surface: I. The boundary layer equations for two-dimensional and axisymmetric flow, AIChE J., 7, 26–28 (1961).
K. Vajravelu and A. Hadyinicolaou, A convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream, Int. J. Eng. Sci., 35, 1237–1244 (1997).
V. M. Sondalgekar, Unsteady MHD free convection flow past an infinite vertical flat plate with variable suction, Ind. J. Pure Appl. Math., 3, 426–436 (1972).
A. K. Singh, K. S. Ajay, and N. P. Singh, Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity, Ind. J. Pure Appl. Math., 34, 429–442 (2003).
C. A. Israel-Cookey, A. Ogulu, and V. B. Omubo-Pepple, Influence of viscous dissipation and radiation on unsteady MHD free-convection flow past an infinite heated vertical plate in a porous medium with time-dependent suction, Int. J. Heat Mass Transfer, 46, 2305–2311 (2003).
M. A. A. Mahmoud, Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity, Physica A, 375, 401–410 (2007).
T. Hayat, Z. Abbas, M. Sajid, and S. Asghar, The influence of thermal radiation on MHD flow of a second grade fluid, Int. J. Heat Mass Transfer, 50, 931–941 (2007).
R. Cortell, Effects of viscous dissipation and radiation on thermal boundary layer over a nonlinearly stretching sheet, Phys. Lett. A, 372, 631–636 (2008).
M. Sajid and T. Hayat, Influence of thermal radiation on the boundary layer flow due to exponentially stretching sheet, Int. Commun. Heat Mass Transfer, 35, 347–356 (2008).
E. M. Abo-Eldahab and. A. F. Ghonaim, Radiation effect on heat transfer of a micropolar fluid through a porous medium, Appl. Math. Comput., 169, No. 1, 500–510 (2005).
H. S. Takhar, R. S. R Gorla, and V. M Soundalgekar, Radiation effects on MHD free convection flow of a gas past a semi-infinite vertical plate, Int. J. Numer. Methods Heat Fluid Flow, 6, No. 2, 77–83 (1966).
E. M. Abo-Eldahab, Radiation effect on heat transfer in an electrically conducting fluid at a stretching surface with a uniform free stream, J. Phys. D: Appl. Phys., 33, 3180–3185 (2000).
B. Vasu, V. Ramachandra Prasad, and N. Bhaskar Reddy, Radiation and mass transfer effect on transient free convection flow of a dissipative fluid past semi-infinite plate with uniform heat and mass flux, J. Appl. Fluid Mech., 4, No. 1 (2011).
S. P. Shateyi, Thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing, J. Appl. Math., doi.10.1155/2008/414830 (2008).
B. Gebhart, Effect of viscous dissipation in natural convection. J. Fluid Mech., 1, 225–232 (1962).
Ahmed Y. Ghaly and Elsayed M. E. Elbarbary, Radiation effect on MHD free convection flow of a gas at a stretching surface with a uniform free stream, J. Appl. Math., 2, No. 2, 93–103 (2002).
A. J. Chamka, H. S. Takhar, and V. M. Soundalgaker, Radiation effects on a free convection flow past a semi-infinite vertical plate with mass transfer, Chem. Eng. J., 84, 335–342 (2001).
P. S. Gupta and A. S. Gupta, Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55, 744–746 (1977).
W. M. Rohsenow, J. P. Hartnett, and Y. I. Cho (Eds.), Handbook of Heat Transfer, 3rd ed., McGraw-Hill, New York (1998).
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Published in Inzhenerno-Fizicheskii Zhurnal, Vo. 85, No. 4, July–August, 2012.
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Govardhan, K., Kishan, N. & Balaswamy, B. Effect of viscous dissipation and radiation on MHD gas flow and heat and mass transfer over a stretching surface with a uniform free stream. J Eng Phys Thermophy 85, 909–916 (2012). https://doi.org/10.1007/s10891-012-0729-3
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DOI: https://doi.org/10.1007/s10891-012-0729-3