On series solution for unsteady boundary layer equations in a special third grade fluid

2011 ◽  
Vol 16 (8) ◽  
pp. 3140-3146 ◽  
Author(s):  
S. Abbasbandy ◽  
T. Hayat
Keyword(s):  
Boundary Layer ◽  
Series Solution ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Unsteady Boundary Layer ◽  
Boundary Layer Equations ◽  
Grade Fluid

Numerical Results of a Flow in a Third Grade Fluid between Two Porous Walls

2009 ◽  
Vol 64 (1-2) ◽  
pp. 59-64 ◽  
Author(s):  
Saeid Abbasbandy ◽  
Tasawar Hayat ◽  
Rahmat Ellahi ◽  
Saleem Asghar
Keyword(s):  
Numerical Solution ◽  
Homotopy Analysis Method ◽  
Series Solution ◽  
Material Parameter ◽  
Third Grade ◽  
Analysis Method ◽  
Third Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Porous Walls

Series solution for a steady flow of a third grade fluid between two porous walls is given by the homotopy analysis method (HAM). Comparison with the existing numerical solution is shown. It is found that, unlike the numerical solution, the present series solution holds for all values of the material parameter of a third grade fluid.

scholarly journals Melting heat transfer in the stagnation-point flow of third grade fluid past a stretching sheet with viscous dissipation

2013 ◽  
Vol 17 (3) ◽  
pp. 865-875 ◽  
Author(s):  
Tasawar Hayat ◽  
Zahid Iqbal ◽  
Meraj Mustafa ◽  
Awatif Hendi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Melting Heat ◽  
Melting Heat Transfer ◽  
Grade Fluid ◽  
Layer Flow

An analysis has been carried out for the characteristics of melting heat transfer in the boundary layer flow of third grade fluid in a region of stagnation point past a stretching sheet. The relevant partial differential equations are reduced into ordinary differential system by suitable transformations. The series solutions are developed by homotopy analysis method (HAM). It is revealed that an increase in the melting parameter (M ) decreases the velocity and the temperature (? ). An increase in the third grade parameter (? ) increases the velocity and the boundary layer thickness. The present results are also compared with the previous studies.

A Note on Oscillatory Flow of a Third Grade Fluid in a Porous Medium

2008 ◽  
Vol 11 (5) ◽  
pp. 467-473
Author(s):  
Tasawar Hayat ◽  
F. Shahzad ◽  
S. Asghar
Keyword(s):  
Porous Medium ◽  
Oscillatory Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid
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