Analytical Solution of Natural Convection Flow in Vertical Concentric Annuli with Internal Heat Generation/Absorption

2012 ◽  
Vol 39 (5) ◽  
pp. 373-380
Author(s):  
Basant K. Jha ◽  
Abiodun O. Ajibade
Keyword(s):  
Natural Convection ◽  
Analytical Solution ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Convection Flow ◽  
Natural Convection Flow

THERMAL LATTICE BGK SIMULATION OF TURBULENT NATURAL CONVECTION DUE TO INTERNAL HEAT GENERATION

2003 ◽  
Vol 17 (01n02) ◽  
pp. 173-177 ◽  
Author(s):  
BAOCHANG SHI ◽  
ZHAOLI GUO
Keyword(s):  
Natural Convection ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Convection Flow ◽  
Bgk Model ◽  
Natural Convection Flow ◽  
Turbulent Natural Convection ◽  
Prandtl Numbers ◽  
Rayleigh Numbers

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.

Investigation of heat generation/absorption on natural convection flow in a vertical annular micro-channel

2018 ◽  
Vol 14 (1) ◽  
pp. 143-167 ◽  
Author(s):  
Basant Kumar Jha ◽  
Babatunde Aina
Keyword(s):  
Natural Convection ◽  
Heat Generation ◽  
Outer Cylinder ◽  
Internal Heat ◽  
Momentum Equation ◽  
Convection Flow ◽  
Micro Channel ◽  
Natural Convection Flow ◽  
Content Type ◽  
Generation Parameter

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.

scholarly journals Conjugate Effects of Thermal and Mass Diffusion on Natural Convection Flow from a Heated Sphere with Internal Heat Generation or Absorption

2019 ◽  
Vol 67 (1) ◽  
pp. 13-20
Author(s):  
Sadia Masud ◽  
Nepal Chandra Roy
Keyword(s):  
Natural Convection ◽  
Heat Generation ◽  
Numerical Solutions ◽  
Internal Heat ◽  
Mass Diffusion ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Heat Generation Or Absorption ◽  
The Mathematical Model ◽  
Unsteady Natural Convection

We examine the conjugate effects of thermal and mass diffusion on the unsteady natural convection flow from a heated sphere. The mathematical model of the problem is made into a system of nonsimilar partial differential equations introducing appropriate transformations. We solve this system employing the implicit finite difference technique. Numerical solutions have been elucidated with the skin friction as well as heat and mass transfer for varying Prandtl number, Schmidt number, combined buoyancy parameter, and heat generation or absorption parameter. Dhaka Univ. J. Sci. 67(1): 13-20, 2019 (January)

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