Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary condition: new results

Meccanica ◽  
2015 ◽  
Vol 50 (7) ◽  
pp. 1909-1914 ◽  
Author(s):  
Asterios Pantokratoras
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Thermal Boundary Layer ◽  
Vertical Plate ◽  
Surface Boundary ◽  
Surface Boundary Condition

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

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
O. D. Makinde ◽  
P. O. Olanrewaju
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Differential Equations ◽  
Vertical Plate ◽  
Nonlinear Partial Differential Equations ◽  
Integration Scheme ◽  
Surface Boundary ◽  
Thermal Buoyancy ◽  
Interface Characteristics ◽  
Surface Boundary Condition

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.

scholarly journals Analytical Analysis of Effects of Buoyancy, Internal Heat Generation, Magnetic Field, and Thermal Radiation on a Boundary Layer over a Vertical Plate with a Convective Surface Boundary Condition

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Solomon Bati Kejela ◽  
Mitiku Daba Firdi
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Boundary Condition ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Vertical Plate ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Surface Boundary ◽  
Surface Boundary Condition

In this paper, the effects of magnetic field, thermal radiation, buoyancy force, and internal heat generation on the laminar boundary layer flow about a vertical plate in the presence of a convective surface boundary condition have been investigated. In the analysis, it is assumed that the left surface of the plate is in contact with a hot fluid, whereas a stream of cold fluid flows steadily over the right surface, and the heat source decays exponentially outwards from the surface of the plate. The governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations with the help of similarity transformation which were solved analytically by applying the optimal homotopy asymptotic method. The variations of fluid velocity and surface temperature for different values of the Grashof number, magnetic parameter, Prandtl number, internal heat generation parameter, Biot number, and radiation absorption parameter are tabulated, graphed, and interpreted in physical terms. A comparison with previously published results on similar special cases of the problem shows an excellent agreement.

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