Heat Transfer in a Liquid Film Due to an Unsteady Stretching Surface With Variable Heat Flux

2013 ◽  
Vol 80 (4) ◽  
Author(s):  
I.-Chung Liu ◽  
Ahmed M. Megahed ◽  
Hung-Hsun Wang
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Liquid Film ◽  
Dimensionless Temperature ◽  
Integration Scheme ◽  
Boundary Layer Equations ◽  
Variable Heat ◽  
Variable Heat Flux ◽  
Viscous Liquid Film ◽  
Viscous Liquid Film Flow

The heat transfer characteristics of a viscous liquid film flow over an unsteady stretching sheet subject to variable heat flux are investigated numerically. The effect of thermal radiation applying to an optically thick medium is also considered. The governing boundary layer equations are transformed into a set of nonlinear ordinary differential equations using an efficient fifth-order step-adapted Runge–Kutta integration scheme together with Newton–Raphson method. The dimensionless temperature is plotted for various governing parameters; say, unsteadiness parameter, effective Prandtl number, distance index, as well as time index. It is found that the heat transfer aspects are strongly influenced by the relevant parameters.

scholarly journals Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
I-Chung Liu ◽  
Ahmed M. Megahed
Keyword(s):  
Thin Film ◽  
Heat Transfer ◽  
Heat Flux ◽  
Differential Equations ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Flow And Heat Transfer ◽  
Variable Heat ◽  
Variable Heat Flux

We have analyzed the effects of variable heat flux and internal heat generation on the flow and heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). The effects of various parameters governing the flow and heat transfer in this study are discussed and presented graphically. Comparison of numerical results is made with the earlier published results under limiting cases.

scholarly journals Radiative Heat Transfer Flow of Micropolar Fluid with Variable Heat Flux in a Porous Medium

2008 ◽  
Vol 13 (1) ◽  
pp. 71-87 ◽  
Author(s):  
M. M. Rahman ◽  
T. Sultana
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Micropolar Fluid ◽  
Skin Friction Coefficient ◽  
Similarity Solutions ◽  
Local Similarity ◽  
Local Skin ◽  
Micropolar Fluids ◽  
Variable Heat ◽  
Variable Heat Flux

A two-dimensional steady convective flow of a micropolar fluid past a vertical porous flat plate in the presence of radiation with variable heat flux has been analyzed numerically. Using Darcy-Forchheimer model the corresponding momentum, microrotation and energy equations have been solved numerically. The local similarity solutions for the flow, microrotation and heat transfer characteristics are illustrated graphically for various material parameters. The effects of the pertinent parameters on the local skin friction coefficient, plate couple stress and the heat transfer are also calculated. It was shown that large Darcy parameter leads to decrease the velocity while it increases the angular velocity as well as temperature of the micropolar fluids. The rate of heat transfer in weakly concentrated micropolar fluids is higher than strongly concentrated micropolar fluids.

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