TY - JOUR
TI - Non-similar solutions for natural convection from a moving vertical plate with a convective thermal boundary condition
AU - Pantokratoras Asterios
JN - Thermal Science
PY - 2016
VL - 20
IS - 6
SP - 1847
EP - 1853
PT - Article
AB - 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.