scholarly journals Magnetic Field Effect on Natural Convection Flow with Internal Heat Generation using Fast  –  Method

2015 ◽  
Vol 8 (2) ◽  
pp. 189-196 ◽  
Author(s):  
M.A. Taghikhani ◽  
2003 ◽  
Vol 17 (01n02) ◽  
pp. 173-177 ◽  
Author(s):  
BAOCHANG SHI ◽  
ZHAOLI GUO

A thermal lattice BGK model with a robust boundary scheme for the Boussinesq incompressible fluids is introduced. The 2D numerical simulation of natural convection flow due to internal heat generation in a square cavity are performed at Rayleigh numbers 106 - 1012 and Prandtl numbers 0.25 and 0.6. The numerical results are compared with those of previous studies in detail.


2018 ◽  
Vol 14 (1) ◽  
pp. 143-167 ◽  
Author(s):  
Basant Kumar Jha ◽  
Babatunde Aina

Purpose The purpose of this paper is to further extend the work of Weng and Chen (2009) by considering heat generation/absorption nature of fluid. Design/methodology/approach Exact solution of momentum equation is derived separately in terms of Bessel’s function of first and second kind for heat-generating fluid and modified Bessel’s function of first and second kind for heat absorbing fluid. Findings During the course of numerical computations, it is found that skin friction and rate of heat transfer at outer surface of inner cylinder and inner surface of outer cylinder increases with the increase in heat generation parameter while the reverse trend is found in the case of heat absorption parameter. Originality/value In view of the amount of works done on natural convection with internal heat generation/absorption, it becomes interesting to investigate the effect of this important activity on natural convection flow in a vertical annular micro-channel. The purpose of this paper is to further extend the work of Weng and Chen (2009) by considering heat generation/absorption nature of fluid.


2002 ◽  
Vol 80 (10) ◽  
pp. 1145-1156 ◽  
Author(s):  
A J Chamkha

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


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