The conjugate formulation of a radiation induced transient natural convection boundary layer

The conjugate formulation of a radiation induced transient natural convection boundary layer
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辐射诱发瞬态自然对流边界层的共轭公式

DOI:
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发表时间:
1992
期刊:
影响因子:
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通讯作者:
P. Durbetaki
P. Durbetaki
中科院分区:
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文献类型:
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作者:
Xianming Li;P. Durbetaki

文献摘要

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非反应性半无限固体的垂直表面被辐射热流源突然加热。表面温度升高,热波穿透固体。与此同时,热的表面加热了邻近的空气,这些空气在重力的影响下开始向上移动。在这两个领域的事件是紧密相连的,在边界层中的可压缩流体建立一个水动力和热耦合。这种耦合和非线性在这个问题中需要一个特殊的解决方案。选择的数值技术,这是基于由Patankar和Spalding开发的有限控制体积法。对Patankar-Spalding方法进行了改进,使其同时适用于固相域和气相域。本文研究了瞬态固-气混合边界层的共轭方程。结果表明,新的共轭方法提供了可靠的解决方案,目前的问题。此外,分析表明,表面温度达到特定值所需的时间与辐射热通量的平方成反比。
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.