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.

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.

SECOND‐GRADE FLUID FLOW WITH POWER‐LAW HEAT FLUX AND A HEAT SOURCE

2013 ◽  
Vol 44 (8) ◽  
pp. 687-702 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir A. Shehzad ◽  
Muhammad Qasim ◽  
F. Alsaadi ◽  
Ahmed Alsaedi
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Heat Source ◽  
Power Law ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Power Law Heat Flux

scholarly journals A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Asim Khan ◽  
Norhashidah Hj. Mohd Ali ◽  
Nur Nadiah Abd Hamid
Keyword(s):  
Finite Difference ◽  
Stokes Problem ◽  
Stability And Convergence ◽  
Second Grade ◽  
Group Method ◽  
Two Dimensional ◽  
Second Grade Fluid ◽  
The Matrix ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid

Abstract In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid. The proposed scheme is based on the high-order compact Crank–Nicolson finite difference method. The resulting scheme consists of three-level finite difference approximations. The stability and convergence of the proposed method are studied using the matrix energy method. Finally, some numerical examples are provided to show the accuracy of the proposed method.

Flow of Second Grade Fluid in a Scraped Surface Heat Exchanger

2016 ◽  
Vol 40 (2) ◽  
pp. e12393 ◽  
Author(s):  
A. Imran ◽  
M.A. Rana ◽  
A.M. Siddiqui ◽  
M. Shoaib
Keyword(s):  
Heat Exchanger ◽  
Surface Heat ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Scraped Surface Heat Exchanger ◽  
Grade Fluid ◽  
Surface Heat Exchanger
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