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The conjugate formulation of a radiation induced transient natural convection boundary layer
Author(s) -
Li Xianming,
Durbetaki Pandeli
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620350413
Subject(s) - mechanics , radiative transfer , heat flux , boundary value problem , boundary layer , thermal radiation , convection , materials science , natural convection , transient (computer programming) , heat transfer , thermodynamics , physics , mathematics , mathematical analysis , optics , computer science , operating system
Abstract The vertical surface of a non‐reactive semi‐infinite solid is suddenly heated by a radiative heat flux source. The surface temperature increases and a thermal wave penetrates the solid. At the same time, the hot surface heats the neighbouring air, which begins to move upward under the influence of gravity. The events in both domains are closely connected and the compressible fluid in the boundary layer establishes a hydrodynamic and thermal coupling. Such coupling and the non‐linearity in this problem require a special solution approach. A numerical technique was selected, which is based on the finite control volume method developed by Patankar and Spalding. The Patankar–Spalding method was modified to accommodate both the solid domain and the gas phase domain simultaneously. The conjugate formulation for the transient combined solid phase and gaseous boundary layer was investigated. It was found that the new conjugate method provided reliable solutions to the current problem. Furthermore, the analysis revealed that the time required for the surface temperature to attain a specified value was inversely proportional to the square of the radiative heat flux.