Similarity solutions of unsteady boundary layer equations of a special third grade fluid

2006 ◽  
Vol 44 (11-12) ◽  
pp. 721-729 ◽  
Author(s):  
Ali Keçebaş ◽  
Muhammet Yürüsoy
Keyword(s):  
Boundary Layer ◽  
Similarity Solutions ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Unsteady Boundary Layer ◽  
Boundary Layer Equations ◽  
Grade Fluid

A New Approach for the Derivation of the Similarity Equation of the 2-D Unsteady Boundary Layer Equations

2012 ◽  
Author(s):  
Md. Abdus Sattar
Keyword(s):  
Boundary Layer ◽  
Numerical Solutions ◽  
Similarity Solutions ◽  
Length Scale ◽  
Local Similarity ◽  
Unsteady Boundary Layer ◽  
Similarity Equation ◽  
Boundary Layer Equations ◽  
Dimensional Boundary ◽  
The One

A local similarity equation for the hydrodynamic 2-D unsteady boundary layer equations has been derived based on a time dependent length scale initially introduced by the author in solving several unsteady one-dimensional boundary layer problems. Similarity conditions for the potential flow velocity distribution are also derived. This derivation shows that local similarity solutions exist only when the potential velocity is inversely proportional to a power of the length scale mentioned above and is directly proportional to a power of the length measured along the boundary. For a particular case of a flat plate the derived similarity equation exactly corresponds to the one obtained by Ma and Hui[1]. Numerical solutions to the above similarity equation are also obtained and displayed graphically.

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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