Abstract:
In this study, a similarity analysis is made for an unsteady two-dimensional MHD free convective and heat transfer
flow of a viscous incompressible fluid along a vertical flat plate with internal heat generation/absorption. The
governing time-dependent boundary-layer equations are reduced to non-linear ordinary differential equations
by introducing a similarity transformation. The obtained similarity equation for both steady and unsteady cases
have been compared with previously published work and excellent agreement is found. The resulting local similarity
equations for the unsteady flow have been solved numerically by applying Nachtsheim-Swigert shooting
iteration technique along with sixth order Runge-Kutta integration scheme. Numerical results for the dimensionless
velocity and temperature profiles as well as the local skin-friction coefficient and local Nusselt number
are displayed both by graphically and numerically for different values of the physical parameters entering into
the problem.The significance of the physical parameters on the flow field is discussed in detail.The results shows
that the velocity profile and the temperature profile is much pronounced with the increasing value of heat generation
and unsteadiness parameter but the opposite effect can be found for suction parameter and Prandlt
number. Also, the result shows that the values of skin-friction and wall heat transfer are strongly influenced by
unstediness and heat generation parameter.
