Department of Basic and Applied Science,
Arab Academy for Science and Technology and Maritime Transport,.
P.O.Box.1029 Alexandaria, Egypt

E-mail: hossams@aast.edu

Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method

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 velosity in a non-Newtonian power law fluid of infinite extent. We will study the non-stationary flow of an electrically conducting non-Newtonian fluid of infinite extent in transverse external magnetic field.

The solution of this highly non-linear problem is obtained by means of the transformation group theortic approach. The one-parameter group transformation reduce 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.