Applied Mathematics and Mechanics

, Volume 23, Issue 6, pp 639–646

# Solution of the Rayleigh problem for a powerlaw non-Newtonian conducting fluid via group method

• Mina B. Abd-el-Malek
• Hossam S. Hassan
Article

## Abstract

An investigation is made of the magnetic Rayleigh problem where a semi-infinite plate is given an impulsive motion and thereafter moves with constant velocity in a non-Newtonian power law fluid of infinite extent. The solution of this highly non-linear problem is obtained by means of the transformation group theoretic approach. The one-parameter group transformation reduces the number of independent variables by one and the governing partial differential equation with the boundary conditions reduce to an ordinary differential equation with the appropriate boundary conditions. Effect of the some parameters on the velocity u (y, t) has been studied and the results are plotted.

## Key words

Rayleigh problem group method non-linearity conducting fluid non-Newtonian power law fluid

O361.4 O152.9

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© Editorial Committee of Applied Mathematics and Mechanics 1980

## Authors and Affiliations

• Mina B. Abd-el-Malek
• 1