In a recent paper by Makinde (Thermal Science, 2011, Vol. 15, Suppl. 1, pp.
S137-S143.) the effect of thermal buoyancy along a moving vertical plate with
internal heat generation was considered. The plate thermal boundary condition
was a convective condition with a heat transfer coefficient proportional to
x-1/2 . The fluid thermal expansion coefficient was proportional to 1-x and
the internal heat generation was assumed to decay exponentially across the
boundary layer and proportional to x-1 in order that the problem accepts a
similarity solution. In the present work, the same problem without heat
generation is considered, with constant heat transfer coefficient and
constant thermal expansion coefficient which is more realistic and has much
more practical applications. The present problem is non-similar and results
are obtained with the direct numerical solution of the governing equations.
The problem is governed by the Prandtl number, the non-dimensional distance
along the plate and a convective Grashof number, which is introduced for the
first time. It is found that the wall shear stress, the wall heat transfer
and the wall temperature, all increase with increasing distance and the wall
temperature tends to 1. The influence of the convective Grashof number is to
increase the wall shear stress and the wall heat transfer and to reduce the
wall temperature.
MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption
