scholarly journals Modified Local Similarity for natural convection along a nonisothermal vertical flat plate including stratification

1988 ◽  
Author(s):  
S. W. Webb
Keyword(s):  
Natural Convection ◽  
Flat Plate ◽  
Local Similarity ◽  
Vertical Flat Plate

Solar Radiation Assisted Natural Convection in Uniform Porous Medium Supported by a Vertical Flat Plate

1997 ◽  
Vol 119 (1) ◽  
pp. 89-96 ◽  
Author(s):  
A. J. Chamkha
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Solar Radiation ◽  
Flat Plate ◽  
Boussinesq Approximation ◽  
Incident Radiation ◽  
Temperature Fields ◽  
Convection Flow ◽  
Local Similarity ◽  
Vertical Flat Plate

Natural convection flow of an absorbing fluid up a uniform porous medium supported by a semi-infinite, ideally transparent, vertical flat plate due to solar radiation is considered. Boundary-layer equations are derived using the usual Boussinesq approximation and accounting for applied incident radiation flux. A convection type boundary condition is used at the plate surface. These equations exhibit no similarity solution. However, the local similarity method is employed for the solution of the present problem so as to allow comparisons with previously published work. The resulting approximate nonlinear ordinary differential equations are solved numerically by a standard implicit iterative finite-difference method. Graphical results for the velocity and temperature fields as well as the boundary friction and Nusselt number are presented and discussed.

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