Viscous Compressible Flow in the Boundary Region of an Axial Corner
Viscous Compressible Flow in the Boundary Region of an Axial Corner
复制标题
轴向角部边界区域的粘性可压缩流
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
K. Ghia
中科院分区：
文献类型：
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作者：
A. Mikhail;K. Ghia
在无激波超声速流动假设下，分析了由两个半无限平板相交形成的90度角层流。分析基于匹配渐近展开式方法。利用ADI方法得到了流向自相似角流的数值解。采用适当的映射函数，使远场边界条件施加于真无穷远处。给出了具有绝热和传热壁条件的亚音速和超音速流动的结果。对远场边界位置和模型流体假设的影响进行了准确评估。研究了普朗特数、粘度定律和自由流温度水平对溶液的影响。所建立的数值方法是有效的，所实现的优化技术具有广泛的应用前景。本文还提出了一种数值“压缩变换”方法，以获得适合于超声速流动的有限差分网格。
Laminar flow along a 90-deg corner, formed by the intersection of two semi-infinite flat plates, is analyzed, under the assumption of shock-free supersonic flow. The analysis is based on the method of matched asymptotic expansions. Numerical solutions are obtained for the streamwise self-similar corner flow, using the ADI method. Appropriate mapping functions are employed, so that the far-field boundary conditions are imposed at true infinity. Results are presented for subsonic and supersonic flows, with adiabatic as well as heat-transfer wall conditions. The effects of location of the far-field boundary and of the model-fluid assumption are assessed accurately. Effects of Prandtl number, viscosity law, and level of freestream temperature on the solutions are also studied. The numerical method developed is efficient and the optimization techniques implemented have wider applications. A numerical "compressibility-transformation" is also suggested for obtaining a suitable finite-difference grid for highly supersonic flows.