Effects of Pressure Stress Work and Viscous Dissipation in Mixed Convection Flow Along a Vertical Flat Plate

2011 ◽  
Author(s):  
A. S. Bhuiyan ◽  
M. R. Biswas ◽  
Ilias Kotsireas ◽  
Roderick Melnik ◽  
Brian West
Keyword(s):  
Mixed Convection ◽  
Flat Plate ◽  
Viscous Dissipation ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Pressure Stress ◽  
Stress Work ◽  
Vertical Flat Plate

scholarly journals Effect of Pressure Stress Work and Viscous Dissipation in Natural Convection Flow along a Vertical Flat Plate with Heat Conduction

1970 ◽  
Vol 3 (2) ◽  
pp. 69-76 ◽  
Author(s):  
MD M Alam ◽  
MA Alim ◽  
Md MK Chowdhury
Keyword(s):  
Heat Conduction ◽  
Free Convection ◽  
Flat Plate ◽  
Viscous Dissipation ◽  
Similarity Solutions ◽  
Convection Flow ◽  
Non Linear ◽  
Pressure Stress ◽  
Stress Work ◽  
Vertical Flat Plate

In this paper, the effect of viscous dissipation and pressure stress work on free convection flow along a vertical flat plate has been investigated. Heat conduction due to wall thickness b is considered in this investigation. With a goal to attain similarity solutions of the problem posed, the developed equations are made dimensionless by using suitable transformations. The non-dimensional equations are then transformed into non-linear equations by introducing a non-similarity transformation. The resulting non-linear similar equations together with their corresponding boundary conditions based on conduction and convection are solved numerically by using the finite difference method along with Newton's linearization approximation. Numerical results for the details of the velocity profiles, temperature profiles, skin friction coefficients and the surface temperature distributions are shown both on graphs and tabular form for different values of the parameters entering into the problem. Keywords: Free convection, viscous dissipation, pressure work and conduction. DOI: 10.3329/jname.v3i2.921  Journal of Naval Architecture and Marine Engineering 3(2006) 69-76 

scholarly journals Analytical treatment of mixed convection flow past vertical flat plate

2010 ◽  
Vol 14 (2) ◽  
pp. 409-416 ◽  
Author(s):  
Mojtaba Babaelahi ◽  
Davood Ganji ◽  
Ahmadi Joneidi
Keyword(s):  
Prandtl Number ◽  
Mixed Convection ◽  
Flat Plate ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Analytical Treatment ◽  
Linear Ordinary Differential Equations ◽  
Flow Past ◽  
Optimal Homotopy Asymptotic Method ◽  
Vertical Flat Plate

The problem of steady incompressible mixed convection flow past vertical flat plate has been considered. The velocity and temperature equations for this problem are reduced to set of non-linear ordinary differential equations by appropriate transformation and are solved by optimal homotopy asymptotic method. Results show that this method provides us with a convenient way to control the convergence of approximation series and adjust convergence regions when necessary. It is concluded that increment of the Prandtl number leads to diminishing of the temperature values.

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