scholarly journals Natural convection flow over an inclined flat plate with internal heat generation and variable viscosity

2010 ◽  
Vol 52 (9-10) ◽  
pp. 1739-1751 ◽  
Author(s):  
S. Siddiqa ◽  
S. Asghar ◽  
M.A. Hossain
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.


Author(s):  
Tada M. Kabir ◽  
Abiodun O. Ajibade

The present article was aimed at investigating the effects of variable viscosity on natural convection flow between vertical parallel plates in the presence of heat generation/absorption. The nonlinear differential equations governing the flow were solved using Homotopy perturbation method. The impacts of the several governing parameters on the velocity and temperature profiles are presented graphically and values of skin friction, rate of heat transfer, mass flux and mean temperature for various values of physical parameters are presented through tables. In the course of computation, it was revealed that viscosity  ontributes to decrease velocity and hence reduced resistance to flow. It was also discovered that as the heat generation increases, fluid temperature and velocity increase, while it decrease with the increase in heat absorption. Finally, it was concluded that the skin friction on both plates increase as viscosity increases.


Author(s):  
S Siddiqa ◽  
S Asghar ◽  
M A Hossain

The effect of radiation on laminar natural convection flow of a viscous incompressible fluid over a semi-infinite flat plate inclined at a small angle to the horizontal with strong temperature-dependent viscosity has been investigated. The Rosseland approximation is considered while modelling the problem. The non-similar equations are obtained for upstream, downstream, and entire regimes, which are then solved numerically. For constant viscosity, the series solution technique has been employed in order to obtain solutions that are valid near the leading edge as well as in the downstream regime. Later, solutions of the governing equations have been obtained using the finite difference method along with the Keller box technique, taking into consideration variable viscosity. Effects of physical parameters like conduction—radiation para-meter Rd, surface temperature parameter θw, variable viscosity parameter λ, and Prandtl number Pr are shown on the local skin-friction coefficient Cf and the local Nusselt number, Nu. Effects of the parameters on the streamlines are also shown around the point of separation that occurs along the negatively inclined surface.


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