This study presents the analysis of the thermal boundary layer considering combined convection and radiation in an absorbing, emitting, and scattering medium flowing over a flat plate. At high temperatures the presence of thermal radiation alters the temperature distribution in the boundary layer, which in turn affects the heat transfer at the wall. In many industrial applications, such as in the cooling of turbine and compressors blades, radiative heat transfer plays an important role. The treatment of heat transfer by combined convection and radiation in the boundary layer leads to a set of partial differential and integrodifferential equations, which must be solved simultaneously. The exact solutions are seldom possible and the investigators resort to approximate methods. In the present analysis the two-flux model is used to describe the radiative heat flux in the energy equation. This model reduces the equations that govern the problem to a set of coupled partial differential equations. A finite difference scheme, called “method of columns,” is used to transform the resulting equations into an ordinary differential equation system which simplifies the solution. Results for the temperature profile and heat fluxes showed close agreement with the thin and thick limits. The method proposed proves to be useful to investigate the effect of the different radiation parameters on the thermal boundary layer, and also to be accurate enough for engineering applications.
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July 2003
Technical Papers
The Two-Flux Model Applied to Radiative Transfer and Forced Convection in the Laminar Boundary Layer on a Flat Plate
F. Malpica,
F. Malpica
Departamento de Termodina´mica y, Feno´menos de Transferencia, Universidad Simo´n Bolivar, Caracas AP 89000, Venezuela
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N. Moreno,
N. Moreno
Departamento de Conversio´n y Transporte de Energia, Universidad Simo´n Bolivar, Caracas AP 89000, Venezuela
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A. Tremante
A. Tremante
Departamento de Conversio´n y Transporte de Energia, Universidad Simo´n Bolivar, Caracas AP 89000, Venezuela
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F. Malpica
Departamento de Termodina´mica y, Feno´menos de Transferencia, Universidad Simo´n Bolivar, Caracas AP 89000, Venezuela
N. Moreno
Departamento de Conversio´n y Transporte de Energia, Universidad Simo´n Bolivar, Caracas AP 89000, Venezuela
A. Tremante
Departamento de Conversio´n y Transporte de Energia, Universidad Simo´n Bolivar, Caracas AP 89000, Venezuela
Contributed by the Heat Transfer Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received by the HT Division August 2000; final revision received by the ASME Headquarters April 2001. Associate Editor: H. D. Nelson.
J. Eng. Gas Turbines Power. Jul 2003, 125(3): 734-741 (8 pages)
Published Online: August 15, 2003
Article history
Received:
August 1, 2000
Revised:
April 1, 2001
Online:
August 15, 2003
Citation
Malpica, F., Moreno , N., and Tremante, A. (August 15, 2003). "The Two-Flux Model Applied to Radiative Transfer and Forced Convection in the Laminar Boundary Layer on a Flat Plate ." ASME. J. Eng. Gas Turbines Power. July 2003; 125(3): 734–741. https://doi.org/10.1115/1.1496775
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