scholarly journals Numerical Solutions of Heat and Mass Transfer Effects of an Unsteady MHD Free Convective Flow past an Infinite Vertical Plate with Constant Suction

1970 ◽  
Vol 5 (1) ◽  
pp. 27-36 ◽  
Author(s):  
V Ambethkar

The objective of this work is to study heat and mass transfer in an unsteady MHD free convective flow past an infinite vertical plate with constant suction numerically.  Dimensionless governing equations of the problem have been solved by using finite difference technique. Numerical solutions for temperature, velocity, concentration have been obtained for suitable parameters like Grashoff number, mass Grashoff number, Prandtl number and Schmidt number. Rate of heat transfer and mass transfer are studied. The results obtained are discussed with the help of graphs and tables to observe effect of various parameters concerned in the problem under investigation. Stability and convergence of the finite difference scheme is established. Key words: MHD, unsteady, constant suction, finite difference technique, Heat and mass transfer. doi:10.3329/jname.v5i1.1785 Journal of Naval Architecture and Marine Engineering Vol. 5, No. 1 (June, 2008) 27-36

2014 ◽  
Vol 18 (2) ◽  
pp. 365-376
Author(s):  
Ganesan Periyanagounder ◽  
Renugopal Kanniappan ◽  
Loganathan Parasuraman

An analysis is performed to study the effects of thermal and mass stratification in a transient free convective flow of a viscous, incompressible fluid past an isothermal vertical plate. The governing boundary layer equations are solved numerically using an implicit finite difference scheme of Crank-Nicolson type. The doubly stratified effects on the velocity, temperature and concentration are shown graphically. It is observed that an increase in thermal stratification parameter decreases the velocity, temperature profiles and increases the concentration profiles. As well, increase in mass stratification parameter decreases the velocity, concentration profiles and increases the temperature profiles. Also, the influence of the thermal and mass stratification parameter on local as well as average skin-friction, the rate of heat and mass transfer are discussed and presented graphically. The results are compared with particular solutions available in the literature. The present results are found to be in good agreement with the existing particular solution of the problem.


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