scholarly journals Laminar mixed convection boundary layer flow induced by a permeable surface stretched with prescribed skin friction boundary conditions

2015 ◽  
Vol 7 (9) ◽  
pp. 168781401560574 ◽  
Author(s):  
Mohamed Ali ◽  
Abdullah Alabdulkarem
Keyword(s):  
Boundary Layer ◽  
Boundary Conditions ◽  
Mixed Convection ◽  
Skin Friction ◽  
Boundary Layer Flow ◽  
Convection Boundary Layer ◽  
Laminar Mixed Convection ◽  
Convection Boundary ◽  
Layer Flow ◽  
Prescribed Skin Friction

An analytical solution for the Marangoni mixed convection boundary layer flow

2010 ◽  
Vol 224 (6) ◽  
pp. 1193-1202 ◽  
Author(s):  
M A Moghimi ◽  
A Kimiaeifar ◽  
M Rahimpour ◽  
G H Bagheri
Keyword(s):  
Boundary Layer ◽  
Analytical Solution ◽  
Mixed Convection ◽  
Boundary Layer Flow ◽  
Stokes Equations ◽  
Convection Boundary Layer ◽  
Effective Parameters ◽  
Linear Ordinary Differential Equations ◽  
Convection Boundary ◽  
Layer Flow

In this article, an analytical solution for a Marangoni mixed convection boundary layer flow is presented. A similarity transform reduces the Navier—Stokes equations to a set of non-linear ordinary differential equations, which are solved analytically by means of the homotopy analysis method (HAM). The results obtained in this study are compared with the numerical results released in the literature. A close agreement of the two sets of results indicates the accuracy of the HAM. The method can obtain an expression that is acceptable for all values of effective parameters and is also able to control the convergence of the solution. The numerical solution of the similarity equations is developed and the results are in good agreement with the analytical results based on the HAM.

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