Heat transfer over a stretching surface with internal heat generation

2003 ◽  
Vol 81 (4) ◽  
pp. 699-703 ◽  
Author(s):  
E MA Elbashbeshy ◽  
M AA Bazid

Heat transfer over a stretching surface with internal heat generation or absorption is examined. The surface is moving with a power-law velocity distribution. The effect of various governing parameters, such as the Prandtl number, the velocity exponent, and the heat-source/sink parameter on the velocity profiles, temperature profiles, and rate of heat transfer are analyzed. PACS No.: 44.20.tb


1970 ◽  
Vol 40 (1) ◽  
pp. 22-28 ◽  
Author(s):  
Tamanna Sultana ◽  
Sumon Saha ◽  
Mohammad Mansur Rahman ◽  
Goutam Saha

Heat transfer in a porous medium over a stretching surface with internal heat generation and suction or injection has been analyzed numerically in the presence of radiation. In this analysis, the governing equations are transformed into a system of ordinary differential equations and solved them numerically using Nachtsheim-Swigert shooting iteration technique. The local similarity solutions for the flow and the heat transfer characteristics are presented graphically for various material parameters entering into the problem. The effects of the pertinent parameters on the local skin friction coefficient (viscous drag) and the Nusselt number (rate of heat transfer) are also displayed graphically. Keywords: Internal heat generation, suction, injection, radiation, Nusselt number.   doi: 10.3329/jme.v40i1.3469   Journal of Mechanical Engineering, Vol. ME40, No. 1, June 2009 22-28



Author(s):  
Huey Tyng Cheong ◽  
S. Sivasankaran ◽  
M. Bhuvaneswari

Purpose The purpose of this paper is to study natural convective flow and heat transfer in a sinusoidally heated wavy porous cavity in the presence of internal heat generation or absorption. Design/methodology/approach Sinusoidal heating is applied on the vertical left wall of the cavity, whereas the wavy right wall is cooled at a constant temperature. The top and bottom walls are taken to be adiabatic. The Darcy model is adopted for fluid flow through the porous medium in the cavity. The governing equations and boundary conditions are solved using the finite difference method over a range of amplitudes and number of undulations of the wavy wall, Darcy–Rayleigh numbers and internal heat generation/absorption parameters. Findings The results are presented in the form of streamlines, isotherms and Nusselt numbers for different values of right wall waviness, Darcy–Rayleigh number and internal heat generation parameter. The flow field and temperature distribution in the cavity are affected by the waviness of the right wall. The wavy nature of the cavity also enhances the heat transfer into the system. The heat transfer rate in the cavity decreases with an increase in the internal heat generation/absorption parameter. Research limitations/implications The present investigation is conducted for steady, two-dimensional natural convective flow in a wavy cavity filled with Darcy porous medium. The waviness of the right wall is described by the amplitude and number of undulations with a well-defined mathematical function. An extension of the present study with the effects of cavity inclination and aspect ratio will be the interest for future work. Practical implications The study might be useful for the design of solar collectors, room ventilation systems and electronic cooling systems. Originality/value This work examines the effects of sinusoidal heating on convective heat transfer in a wavy porous cavity in the presence of internal heat generation or absorption. The study might be useful for the design of solar collectors, room ventilation systems and electronic cooling systems.



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