General solutions for free convection flow of Casson fluid over an infinite vertical plate
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Date
2015-11
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UMT Lahore
Abstract
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 γ → ∞ is obtained as a limiting case. Also we have discussed some consequences of various parameters like Casson parameter, Grashöf and Prandtl numbers on velocity and temperature and presented them graphically.
Chapter 3, particularly deals with the jerky and unformed free convection flow of Casson fluid subject to an upright plate with mass transfer and Newtonian heating. With the help of Laplace transform, the expressions for velocity and temperature will be established. For particular cases when (a) Pr=1, Sc=1, (b) Pr ≠ 1, Sc=1 and (c) Pr = 1, Sc ≠ 1, solutions are investigated. For different physical parameters, graphical representation is displayed and discussed.