Free-convection flow in the stokes problem for a vertical plate with variable surface temperature

1991 ◽  
Vol 175 (1) ◽  
pp. 157-163
Author(s):  
Basant Kumar Jha ◽  
Ravindra Prasad ◽  
Surendra Rai
2003 ◽  
Vol 2003 (2) ◽  
pp. 65-86 ◽  
Author(s):  
M. A. Abd El-Naby ◽  
Elsayed M. E. Elbarbary ◽  
Nader Y. Abdelazem

An analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, and Prandtl number on the velocity and temperature profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles, skin friction, and Nusselt number. The results indicate that the velocity, temperature, and local and average skin friction increase as the radiation parameter increases, while the local and average Nusselt numbers decrease as the radiation parameter increases.


2009 ◽  
Vol 5 (2) ◽  
pp. 57-70 ◽  
Author(s):  
S. Suneetha ◽  
N. Bhaskar Reddy ◽  
V. Ramachandra Prasad

Thermal radiation effects on hydromagnetic free convection flow past an impulsively started vertical plate with variable surface temperature and concentration is analyzed, by taking into account the heat due to viscous dissipation. The governing boundary layer equations of the flow field are solved by an implicit finite difference method of Crank-Nicholson type. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, Grashof number, Prandtl number, Eckert number on the velocity, temperature and concentration profiles. Also, the local and average skin-friction coefficient, Nusselt number and Sherwood number are presented graphically. The numerical results reveal that an increase in thermal radiation reduces both the velocity and temperature in the boundary layer and a rise in viscous dissipation accelerates the flow.  Key words: Thermal radiation, MHD, viscous dissipation, vertical plate. DOI: 10.3329/jname.v5i2.2694   Journal of Naval Architecture and Marine Engineering 5(2)(2008) 57-70


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