Buoyancy Effects on Thermal Boundary Layer Over a Vertical Plate With a Convective Surface Boundary Condition

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 Gr x , and local convective heat transfer parameter Bi x are graphed and tabulated. A comparison with previously published results on special case of the problem shows excellent agreement.

Effect of Radiation on Magnetic Flow over a Moving Vertical Plate in a Porous Medium with Heat Generation

“…Makinde et al (2010) reported a local similarity solution for the effect of buoyancy forces on thermal boundary layer over a flat plate with a convective boundary condition. Their result also revealed that the buoyancy effects tend to reduce the thermal boundary layer thickness.…”

“…Soret and Dufour effects on hydro magnetic Heat and Mass Transfer over a Vertical Plate with a Convective Surface Boundary Condition and Chemical reaction were studied by Gangadhar (2013). Makinde et al (2010) reported a local similarity solution for the effect of buoyancy forces on thermal boundary layer over a flat plate with a convective boundary condition. Their result also revealed that the buoyancy effects tend to reduce the thermal boundary layer thickness.…”

Biot number effect on MHD flow and heat transfer of nanofluid with suspended dust particles in the presence of nonlinear thermal radiation and non-uniform heat source/sink

“…The physical quantities of interest are the skin friction coefficient (C f x ) and the local Nusselt number (N u x ), which are defined as 19) where the surface shear stress τ w and the surface heat flux q w are given by τ w = µ f ∂u ∂y and q w = −k nf ∂T ∂y + (q r )w at y = 0, (2.20)…”

“…Recently, Ishak [15] reported the steady laminar boundary layer flow over a permeable flat plate with convective boundary conditions. The effect of thermal buoyancy along a stationary vertical plate with a uniform free stream flow were studied by Makinde and Olanrewaju [19]. Bég et al [1] studied the mixed magneto-convective flow of an electrically conducting flow along a moving radiating vertical flat plate with hydrodynamic slip and thermal convective boundary conditions.…”

Presence of Pressure Gradient on Laminar Boundary Layer over a Permeable Surface with Convective Boundary Condition

“…A numerical method has been applied to the problem of heat and mass transfer over a flat plate embedded in a porous medium in the presence of magnetic field such as (Bachok et al (2010), Makinde and Aziz (2010), Makinde andAziz (2011), Makinde (2010), and Merkin(1979)). Makinde and Olanrewaju (2010) extended the work of Aziz (2009) to the presence of buoyancy force. Fathizadeh and Rashidi (2009) study convective heat transfer equations of boundary layer in presence of pressure gradient over a flat plate.…”