makinde, O.D. and Olanrewaju, P. O.
(2010)
Buoyancy Effects on Thermal
Boundary Layer Over a Vertical Plate
With a Convective Surface
Boundary Condition.
Journal of Fluids Engineering, 132.
044502-1-044502-4.
ISSN [DOI: 10.1115/1.4001386]
Abstract
This study aims to analyze the effects of thermal buoyancy on the
laminar boundary layer about a vertical plate in a uniform stream
of fluid under a convective surface boundary condition. Using a
similarity variable, the governing nonlinear partial differential
equations have been transformed into a set of coupled nonlinear
ordinary differential equations, which are solved numerically by
applying shooting iteration technique together with fourth-order
Runge–Kutta integration scheme. The variations in dimensionless
surface temperature and fluid-solid interface characteristics for
different values of Prandtl number (Pr), local Grashof number
Grx, and local convective heat transfer parameter Bix are graphed
and tabulated. A comparison with previously published results on
special case of the problem shows excellent agreement.
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