On a class of exact solutions of the equations of motion of a second grade fluid

2001 ◽  
Vol 150 (1-2) ◽  
pp. 135-138 ◽  
Author(s):  
C. Fetecău ◽  
J. Zierep
Keyword(s):  
Exact Solutions ◽  
Equations Of Motion ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

Some Exact Solutions to Equations of Motion of an Incompressible Second Grade Fluid

2014 ◽  
Vol 137 (1) ◽  
Author(s):  
Saif Ullah ◽  
Irsa Maqbool
Keyword(s):  
Exact Solutions ◽  
Equations Of Motion ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Complex Functions ◽  
Contour Plots ◽  
Stream Functions ◽  
Grade Fluid ◽  
Steady Plane ◽  
Physical Features

In this paper, we derive some exact solutions of the equations governing the steady plane motions of an incompressible second grade fluid. For this purpose, the vorticity and stream functions both are expressed in terms of complex variables and complex functions. The derived solutions represent the flows having streamlines as a family of ellipses, parabolas, concentric circles, and rectangular hyperbolas. Some physical features of the derived solutions are also illustrated by their contour plots.

Applying Quasi-Linearization to the Problem of Steady Laminar Flow of a Second Grade Fluid Between Two Rotating Porous Disks

1984 ◽  
Vol 106 (4) ◽  
pp. 448-455 ◽  
Author(s):  
P. D. Verma ◽  
P. R. Sharma ◽  
P. D. Ariel
Keyword(s):  
Laminar Flow ◽  
Equations Of Motion ◽  
Elastic Parameter ◽  
Rotation Parameter ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Regular Perturbation ◽  
Injection Parameter ◽  
Grade Fluid ◽  
Steady Laminar

The problem of steady laminar flow of an incompressible second grade fluid between two rotating porous disks has been investigated. The equations of motion are solved by regular perturbation method for small suction/injection parameter and by the quasilinearization method for higher values of suction/injection parameter. The results from both the methods have been compared for both the Newtonian and Non-Newtonian fluids. The effects of suction/injection parameter, rotation parameter and visco-elastic parameter on the velocity components and skin friction have been discussed numerically and shown graphically.

Exact solutions for the flow of second grade fluid in annulus between torsionally oscillating cylinders

2011 ◽  
Vol 27 (2) ◽  
pp. 222-227 ◽  
Author(s):  
Amir Mahmood ◽  
Saima Parveen ◽  
Najeeb Alam Khan
Keyword(s):  
Exact Solutions ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid
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