scholarly journals On semi-inverse solutions for the time-dependent flows of a second-grade fluid

2006 ◽  
Vol 2006 ◽  
pp. 1-22 ◽  
Author(s):  
Muhammad R. Mohyuddin ◽  
S. Asghar ◽  
T. Hayat ◽  
A. M. Siddiqui
Keyword(s):  
Stream Function ◽  
Analytical Solutions ◽  
Time Dependent ◽  
Polar Coordinates ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Inverse Solutions ◽  
Grade Fluid

This paper deals with analytical solutions for the time-dependent equations arising in a second-grade fluid. The solutions have been developed by assuming certain forms of the stream function. Expressions for velocity components are obtained for flows in plane polar, axisymmetric cylindrical, and axisymmetric spherical polar coordinates. The obtained solutions are compared with existing results.

Some Exact Analytical Solutions for Two-Dimensional Flow of an Incompressible Second Grade Fluid

2015 ◽  
Vol 137 (10) ◽  
Author(s):  
Saif Ullah
Keyword(s):  
Analytical Solutions ◽  
Separation Of Variables ◽  
Point Of View ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Exact Analytical Solutions ◽  
Contour Plots ◽  
Two Dimensional Flow ◽  
Grade Fluid ◽  
Physical Features

This investigation deals with some exact analytical solutions of the incompressible second grade fluid by using the method based on the separation of variables. In many cases, this method can derive exact analytical solutions easier than other methods. A family of solutions is derived in this paper, which governs scientific and engineering experimentations. The derived solutions represent the flows having streamlines as a family of ellipses, parabolas, concentric circles, and rectangular hyperbolas. From practical point of view, these flows have applications in many manufacturing processes in industry. Some physical features of the derived solutions are also illustrated by their contour plots.

scholarly journals Exact solutions for the unsteady rotational flow of a generalized second grade fluid through a circular cylinder

2010 ◽  
Vol 15 (4) ◽  
pp. 437-444 ◽  
Author(s):  
M. Kamran ◽  
M. Imran ◽  
M. Athar
Keyword(s):  
Velocity Field ◽  
Circular Cylinder ◽  
Time Dependent ◽  
Second Grade ◽  
Rotational Flow ◽  
Second Grade Fluid ◽  
Special Cases ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid ◽  
Similar Solutions

Here the velocity field and the associated tangential stress corresponding to the rotational flow of a generalized second grade fluid within an infinite circular cylinder are determined by means of the Laplace and finite Hankel transforms. At time t = 0 the fluid is at rest and the motion is produced by the rotation of the cylinder around its axis with a time dependent angular velocity Ωt. The solutions that have been obtained are presented under series form in terms of the generalized G-functions. The similar solutions for the ordinary second grade and Newtonian fluids, performing the same motion, are obtained as special cases of our general solution.

scholarly journals Flow of a second grade fluid with fractional derivatives due to a quadratic time dependent shear stress

2018 ◽  
Vol 57 (3) ◽  
pp. 1963-1969 ◽  
Author(s):  
Nauman Raza ◽  
M. Abdullah ◽  
Asma Rashid Butt ◽  
Aziz Ullah Awan ◽  
Ehsan Ul Haque
Keyword(s):  
Shear Stress ◽  
Fractional Derivatives ◽  
Time Dependent ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid
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