Solution of the Rayleigh Problem for a Power-Law Non-Newtonian Conducting Fluid via Group Method

Mina B. Abd-el-Malek; Nagwa A. Badran; Hossam S. Hassan

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(6): 569-575

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, 2002, 23(6): 569-575.

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Solution of the Rayleigh Problem for a Power-Law Non-Newtonian Conducting Fluid via Group Method

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 Date: 2001-07-30
Publish Date: 2002-06-15

Abstract

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

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References(13)

References

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