Laminar free convection flow of an electrically conducting fluid from a vertical plate with uniform surface heat flux and variable wall temperature in the presence of a magnetic field

1962 ◽  
Vol 13 (4) ◽  
pp. 324-333 ◽  
Author(s):  
Anadi Shankar Gupta
2014 ◽  
Vol 136 (6) ◽  
Author(s):  
M. Saleem ◽  
M. A. Hossain ◽  
Suvash C. Saha

Double diffusive Marangoni convection flow of viscous incompressible electrically conducting fluid in a square cavity is studied in this paper by taking into consideration of the effect of applied magnetic field in arbitrary direction and the chemical reaction. The governing equations are solved numerically by using alternate direct implicit (ADI) method together with the successive over relaxation (SOR) technique. The flow pattern with the effect of governing parameters, namely the buoyancy ratio W, diffusocapillary ratio w, and the Hartmann number Ha, is investigated. It is revealed from the numerical simulations that the average Nusselt number decreases; whereas the average Sherwood number increases as the orientation of magnetic field is shifted from horizontal to vertical. Moreover, the effect of buoyancy due to species concentration on the flow is stronger than the one due to thermal buoyancy. The increase in diffusocapillary parameter, w causes the average Nusselt number to decrease, and average Sherwood number to increase.


2013 ◽  
Vol 465-466 ◽  
pp. 149-154
Author(s):  
Marneni Narahari ◽  
Sowmya Tippa ◽  
Rajashekhar Pendyala

Theoretical analysis of unsteady magnetohydrodynamic free convection flow of a viscous incompressible radiative fluid past an infinite vertical plate with constant heat and mass flux is presented. The dimensionless governing linear partial differential equations have been solved using the Laplace transform technique. The exact solutions for the velocity, temperature and concentration fields are derived. The effects of radiation, magnetic field and buoyancy ratio parameters on the velocity and temperature fields are discussed through graphs. It is found that the velocity increases with increasing radiation parameter whereas it decreases with increasing magnetic field parameter for buoyancy assisted flows.


1991 ◽  
Vol 69 (12) ◽  
pp. 1451-1453 ◽  
Author(s):  
M. Y. Gokhale ◽  
V. M. Soundalgekar

A. magnetohydrodynamic transient-free convection flow of air past a semi-infinite vertical plate with a constant heat flux and a transversely applied uniform magnetic field is studied using the finite-difference method. The equations are solved by a computer using the Thomas algorithm. The transient temperature, transient velocity, average skin friction, and average Nusselt number are shown graphically. It is observed that the average skin friction and the average Nusselt number decrease owing to the application of the magnetic field. It also takes more time to reach a steady state when the magnetic field is present.


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