Effects of radiation and heat source/sink on unsteady MHD boundary layer flow and heat transfer over a shrinking sheet with suction/injection

被引:83
作者
Bhattacharyya K. [1 ]
机构
[1] Department of Mathematics, The University of Burdwan
关键词
heat source/sink; heat transfer; MHD boundary layer; shrinking sheet; suction/injection; thermal radiation; unsteady flow;
D O I
10.1007/s11705-011-1121-0
中图分类号
学科分类号
摘要
In this paper, an investigation is made to study the effects of radiation and heat source/sink on the unsteady boundary layer flow and heat transfer past a shrinking sheet with suction/injection. The flow is permeated by an externally applied magnetic field normal to the plane of flow. The self-similar equations corresponding to the velocity and temperature fields are obtained, and then solved numerically by finite difference method using quasilinearization technique. The study reveals that the momentum boundary layer thickness increases with increasing unsteadiness and decreases with magnetic field. The thermal boundary layer thickness decreases with Prandtl number, radiation parameter and heat sink parameter, but it increases with heat source parameter. Moreover, increasing unsteadiness, magnetic field strength, radiation and heat sink strength boost the heat transfer. © 2011 Higher Education Press and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:376 / 384
页数:8
相关论文
共 47 条
[41]  
Abd El-Aziz M., Radiation effect on the flow and heat transfer over an unsteady stretching sheet, International Communications in Heat and Mass Transfer, 36, 5, pp. 521-524, (2009)
[42]  
Mukhopadhyay S., Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium, International Journal of Heat and Mass Transfer, 52, 13-14, pp. 3261-3265, (2009)
[43]  
Hayat T., Qasim M., Abbas Z., Radiation and mass transfer effects on the magnetohydrodynamic unsteady flow induced by a stretching sheet, Zeitschrift Fur Naturforschung, 65, pp. 231-239, (2010)
[44]  
Hayat T., Qasim M., Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet, International Journal for Numerical Methods in Fluids, 66, 7, pp. 820-832, (2010)
[45]  
Brewster M.Q., Thermal Radiative Transfer Properties, (1972)
[46]  
Andersson H.I., Aarseth J.B., Dandapat B.S., Heat transfer in a liquid film on an unsteady stretching surface, International Journal of Heat and Mass Transfer, 43, 1, pp. 69-74, (2000)
[47]  
Bellman R.E., Kalaba R.E., Quasilinearization and Nonlinear Boundary Value Problem, (1965)