Department of Mathematics

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General solutions of casson fluid past a vertical plate for different motions
(University of Management and Technology, 2015) Allia Naseem
In this thesis, we consider the flow behaviour of Casson fluid under different circumstances. Firstly, some basic definitions and concepts regarding the fundamentals of fluid motion and methods to solve the flow problems have been discussed. In Chapter 2, the free convection flow of Casson fluid past an upright plate subject to the time dependent velocity f(t) with constant wall temperature has been investigated. The vertical plate is set in motion with a time dependent velocity f(t) at time t = 0+. And so the motion will be produced in the fluid. Exact solutions are obtained through the Laplace Transform method. The solutions corresponding to Newtonian fluid for → ∞ is obtained as a limiting case. Also we have discussed some consequences of various parameters like Casson parameter, Grash¨of and Prandtl numbers on velocity and temperature and presented them graphically