SOLUTION OF THE RAYLEIGH PROBLEM FOR A POWER-LAW NON-NEWTONIAN CONDUCTING FLUID VIA GROUP METHOD

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (6): 639-646.

SOLUTION OF THE RAYLEIGH PROBLEM FOR A POWER-LAW NON-NEWTONIAN CONDUCTING FLUID VIA GROUP METHOD

Mina B. Abd-el-Malek¹, Nagwa A. Badran¹, Hossam S. Hassan²

1. Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt;
2. Department of Basic and Applied Science, Arab Academy for Science and Technology and Maritime Transport, P. O. Box 1029 Alexandria, Egypt

收稿日期:2001-07-30 出版日期:2002-06-18 发布日期:2002-06-18

SOLUTION OF THE RAYLEIGH PROBLEM FOR A POWER-LAW NON-NEWTONIAN CONDUCTING FLUID VIA GROUP METHOD

Mina B. Abd-el-Malek¹, Nagwa A. Badran¹, Hossam S. Hassan²

1. Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria 21544, Egypt;
2. Department of Basic and Applied Science, Arab Academy for Science and Technology and Maritime Transport, P. O. Box 1029 Alexandria, Egypt

Received:2001-07-30 Online:2002-06-18 Published:2002-06-18

摘要/Abstract

摘要： 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.

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.

中图分类号:

Mina B. Abd-el-Malek;Nagwa A. Badran;Hossam S. Hassan. SOLUTION OF THE RAYLEIGH PROBLEM FOR A POWER-LAW NON-NEWTONIAN CONDUCTING FLUID VIA GROUP METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(6): 639-646.

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SOLUTION OF THE RAYLEIGH PROBLEM FOR A POWER-LAW NON-NEWTONIAN CONDUCTING FLUID VIA GROUP METHOD

SOLUTION OF THE RAYLEIGH PROBLEM FOR A POWER-LAW NON-NEWTONIAN CONDUCTING FLUID VIA GROUP METHOD

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