Abstract:
In this thesis, the effects of viscous dissipation on magnetohydrodynamics free convection flow
along a vertical wavy surface in presence of heat generation/absorption have been investigated.
The governing equations with associated boundary conditions for this phenomenon are
converted to dimensionless form using suitable transformations. The transformed non-linear
partial differential equations are then solved numerically using the implicit finite difference
method with Keller-box scheme.
Two cases have been considered; one is heat generation effect on MHD free convection along a
vertical wavy surface in presence of viscous dissipation and the other is heat absorption effect
on MHD free convection along a vertical wavy surface in presence of viscous dissipation. In
both cases, the focus is on the viscous dissipation effect with relevant parameters along vertical
wavy surface.
Numerical results of the velocity and temperature profiles, the skin friction coefficient, the rate
of heat transfer as well as the streamlines and isotherms for different values of the heat
generation/absorption parameter Q, the magnetic parameter M, the viscous dissipation
parameter Ec, the Prandtl number Pr and the amplitude of the wavy surface α are presented
graphically. The comparison of the present numerical results with previously reported
investigations are performed and the results show excellent agreement.
