Free Convection Effects on the Stokes Problem for an Infinite Vertical Plate

1977 ◽  
Vol 99 (3) ◽  
pp. 499-501 ◽  
Author(s):  
V. M. Soundalgekar
Keyword(s):  
Free Convection ◽  
Skin Friction ◽  
Vertical Plate ◽  
Stokes Problem ◽  
Exact Analysis ◽  
Flow Past ◽  
Infinite Vertical Plate

An exact analysis of Stokes’ problem (also Rayleigh’s problem) for the flow past an impulsively started infinite vertical plate is presented. The effects of externally heating or cooling the plate by free convection currents are studied. It is observed that the velocity decreases due to more heating of the plate and increases due to more cooling of the plate. The skin friction increases due to greater heating of the plate and decreases owing to greater cooling of the plate. More cooling of the plate may cause reverse type of flow near the plate in the case of air.

Effects of Mass Transfer and Free-Convection Currents on the Flow Past an Impulsively Started Vertical Plate

1979 ◽  
Vol 46 (4) ◽  
pp. 757-760 ◽  
Author(s):  
V. M. Soundalgekar
Keyword(s):  
Mass Transfer ◽  
Free Convection ◽  
Skin Friction ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Exact Analysis ◽  
Flow Past ◽  
Infinite Vertical Plate

An exact analysis of the effects of mass transfer on the Stokes’ (also Rayleigh’s) problem for an infinite vertical plate has been presented on taking into account the free-convection currents. It has been observed that there is a rise in the velocity due to the presence of a foreign mass. But an increase in Sc (<1), Schmidt number, leads to a fall in the velocity. The skin-friction increases due to the presence of a foreign mass and Sc< 1, but it decreases at Sc = 1.

Soret and Radiation Effects on Transient MHD Free Convection From an Impulsively Started Infinite Vertical Plate

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
N. Ahmed
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Free Convection ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Vertical Plate ◽  
Soret Effect ◽  
Viscous Drag ◽  
Laplace Transform Technique ◽  
Infinite Vertical Plate

An exact solution to the problem of MHD transient free convection and mass transfer flow of a viscous, incompressible, and electrically conducting fluid past a suddenly started infinite vertical plate taking into account the thermal diffusion as well as the thermal radiation is presented. Assuming the medium to be nonscattered and the fluid to be nongray, emitting–absorbing, and optically thin radiation limit properties, the equations governing the flow and heat and mass transfer are solved by Laplace transform technique. The expressions for the velocity field, the concentration field, the skin friction at the plate in the direction of the flow, and the coefficient of heat transfer and mass transfer from the plate to the fluid have been obtained, and their numerical values for different values of the physical parameters involved in the problem have been demonstrated in graphs and tables, and these are physically interpreted. It is found that the thermal radiation retards the fluid flow whereas the Soret effect accelerates the flow. The viscous drag on the plate is increased under the Soret and magnetic field effects whereas the thermal radiation reduces the skin friction. Further, the rate of heat transfer at the plate increases under thermal radiation effect. Also, in the presence of radiation, the Soret effect results in a steady increase in the mass flux from the fluid to the plate.

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