The two-flux model applied to interaction of radiation and natural convection in the laminar boundary layer Conference

Malpica, F, Moreno, N, Tremante, A. (2003). The two-flux model applied to interaction of radiation and natural convection in the laminar boundary layer . 2003 279-287. 10.1115/ht2003-47144

cited authors

  • Malpica, F; Moreno, N; Tremante, A

abstract

  • The effects of thermal radiation upon the laminar free convection boundary layer of a vertical flat plate was studied for an absorbing, emitting and scattering gray fluid. The two-flux model was used to represent the radiation term in the energy equation. This method allows to obtain a simpler formulation than required for exact representation of radiation in the boundary layer. The two-flux model reduces the governing equations: continuity, momentum, energy and irradiation, to a set of a coupled partial differential equations. A finite difference scheme is used to transform the resulting equations into an ordinary differential equation system which simplifies the numerical solution. Results for the velocity and temperature profiles and heat fluxes present close agreement with the optical thin and thick limits. Comparison of two-flux results with data obtained using an exact representation of radiation show very small deviations. The method proposed proves to be useful to investigate the effect of the different radiation parameters on natural convection boundary layer, and to obtain numerical results for engineering applications.

publication date

  • January 1, 2003

Digital Object Identifier (DOI)

International Standard Book Number (ISBN) 10

International Standard Book Number (ISBN) 13

start page

  • 279

end page

  • 287

volume

  • 2003