Pallath Chandran
Department of Mathematics and Statistics
College of Science, Sultan Qaboos University
PC 123, Al Khod, Muscat, Sultanate of Oman
Nirmal C Sacheti
Department of Mathematics and Statistics
College of Science, Sultan Qaboos University
PC 123, Al Khod, Muscat, Sultanate of Oman
The paper deals with magnetohydrodynamic transient flow of electrically conducting liquids of varying Prandtl numbers. The flow is assumed to take place near a vertical wall in the presence of heat flux and an externally applied transverse magnetic field . The boundary layer equations of the flow contain three physical parameters - the Prandtl number Pr, the Grashoff number G and the square of Hartmann number m. The exact analytical solutions of the initial boundary value problem are shown to be not uniformly valid for all Prandtl numbers. The explicit solutions valid for Pr = 1 as well as Pr not equals to 1 have been presented for impulsive motion of the boundary. The variation of the velocity has been illustrated graphically as a function of Pr.