Free Convection Effects on Stokes’ Problem for a Vertical Plate in Rarefied Gas-Medium

1978 ◽  
Vol 45 (3) ◽  
pp. 697-699 ◽  
Author(s):  
V. M. Soundalgekar ◽  
S. G. Pohanerkar ◽  
M. R. Patil

An exact analysis of Stokes’ problem for the flow past an impulsively started infinite vertical plate in a rarefied gas-medium has been presented under first-order velocity slip and temperature jump boundary conditions. The effects of an externally heating or cooling of the plate by the free convection currents are studied. It is observed that there may exist a reverse type of flow when the plate is being cooled by the free convection currents. The rate of heat transfer has been found to decrease with increasing the temperature jump coefficient h2.

1977 ◽  
Vol 99 (3) ◽  
pp. 499-501 ◽  
Author(s):  
V. M. Soundalgekar

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.


1979 ◽  
Vol 6 (5) ◽  
pp. 397-404 ◽  
Author(s):  
G.A Georgantopoulos ◽  
C.N Douskos ◽  
N.G Kafousias ◽  
C.L Goudas

2021 ◽  
Vol 10 (1) ◽  
pp. 118-127
Author(s):  
Amit Parmar ◽  
Rakesh Choudhary ◽  
Krishna Agrawal

The present study explores the slip flow and heat transfer induced by a radially surface with MHD Carreau nanofluid. In addition, the effects of temperature jump, non-linear radiation and the dependent zero mass flux also taken into account. This study also considers the cross-diffusion effect on temperature and concentration governing profiles. Appropriate transformations are engaged in order to acquire nonlinear differential equations (ODEs) from the partial differential system, their solutions are obtained by Runge-Kutta 4th order with shooting scheme in MATLAB. The impact of pertinent flow parameters such as first and second order velocity slip parameter, temperature jump, magnetic parameter, heat source, radiation parameter, melting surface parameter, temperature ratio parameter on dimensionless velocity, temperature and concentration profiles achieved graphically as well as local skin friction, Nusselt number and Sherwood number are demonstrated in the form of Table. first order velocity slip parameter (slip1) on f′, Θ and Φ profile fields. With an increment in the velocity slip first order parameter (slip1) we have perceived a fall in the momentum boundary layer and concentration profiles and a growth in the fluid temperature field.


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