Existence results for nano boundary layer flows with nonlinear Navier boundary condition

2013 ◽  
Vol 377 (41) ◽  
pp. 2950-2954 ◽  
Author(s):  
Elyas Shivanian
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Existence Results ◽  
Boundary Layer Flows ◽  
Navier Boundary Condition

scholarly journals Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: Existence of four solutions

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1687-1697 ◽  
Author(s):  
Elyas Shivanian ◽  
Hamed Alsulami ◽  
Mohammed Alhuthali ◽  
Saeid Abbasbandy
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Homotopy Analysis Method ◽  
Boundary Layer Equation ◽  
Slip Boundary Condition ◽  
Analysis Method ◽  
Slip Boundary ◽  
Navier Boundary Condition ◽  
Homotopy Analysis ◽  
Analytical Series

In the present work, the classical laminar boundary layer equation of the flow away from the origin past a wedge with the no-slip boundary condition replaced by a nonlinear Navier boundary condition is considered. This boundary condition contains an arbitrary index parameter, denoted by n > 0, which appears in the differential equation to be solved. Predictor homotopy analysis method (PHAM) is applied to this problem and more, it is proved corresponding to the value n = 1/3, there exist four solutions. Furthermore, these solutions are approximated by analytical series solution using PHAM for further physical interpretations.

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