scholarly journals Exact Solution of an MHD Natural Convection Flow in Vertical Concentric Annulus with Heat Absorption

2017 ◽  
Vol 3 (5) ◽  
pp. 52 ◽  
Author(s):  
Yusuf Samuel Taiwo
Keyword(s):  
Exact Solution ◽  
Natural Convection ◽  
Convection Flow ◽  
Heat Absorption ◽  
Natural Convection Flow ◽  
Concentric Annulus

Laminar hydromagnetic natural convection flow along a heated vertical surface in a stratified environment with internal heat absorption

2002 ◽  
Vol 80 (10) ◽  
pp. 1145-1156 ◽  
Author(s):  
A J Chamkha
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Thermal Environment ◽  
Outer Part ◽  
Internal Heat ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Heat Absorption ◽  
Natural Convection Flow ◽  
Mass Transfer Parameter

The problem of steady, laminar, natural convection flow along a vertical permeable surface immersed in a thermally stratified environment in the presence of magnetic-field and heat-absorption effects is studied numerically. Conditions for similarity solutions are determined for arbitrary stable and unstable thermal environment stratification. Numerical solution of the similarity equations is performed using an implicit, iterative, tri-diagonal finite-difference method. Comparison with previously published work is performed and the results are found to be in excellent agreement. The effects of Hartmann number, heat-absorption coefficient, and the wall mass-transfer parameter on the velocity and temperature profiles as well as the skin-friction coefficient and Nusselt number are presented graphically and discussed. It is found that both the magnetic-field and heat-absorption effects eliminate the occurrence of the fluid backflow and temperature deficit in the outer part of the boundary layer predicted for the nonmagnetic case. PACS Nos.: 44.20, 44.25, 47.65

Sign in / Sign up

Export Citation Format

Share Document