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广义矩阵法及其在流体力学中的应用
引用本文:徐重光,范大年.广义矩阵法及其在流体力学中的应用[J].空气动力学学报,1988(2).
作者姓名:徐重光  范大年
作者单位:中国杭州电子学院 (徐重光),美国豪华大学(范大年)
摘    要:本文提出了由作者发展的、建立在非笛卡儿张量分析基础上的广义矩阵法,并根据选择的任意坐标系和基,在非正交的一般曲线坐标系中,导出三维空间的流体力学的一系列方程。作为示例,在任意的、不均匀螺旋距的螺旋线坐标系中,用广义矩阵法导出了包括粘性耗散函数表达式在内的、完整的可压缩粘性流动方程。还可导出在两种流体的分界面上,带有粘性及表面张力的应力边界条件。用该法导出的方程,文献已证实是正确的。

关 键 词:广义矩阵法  物理基  自然基    张量  流体力学

GENERALIZED MATRIX METHOD AND ITS APPLICATIONS TO FLUID MECHANICS
Xu Zhongguang.GENERALIZED MATRIX METHOD AND ITS APPLICATIONS TO FLUID MECHANICS[J].Acta Aerodynamica Sinica,1988(2).
Authors:Xu Zhongguang
Abstract:In this paper,using the generalized matrix method based upon noa-cartesian tensor analysis as presented by authors,to present the complete compressible viscous flow equations including expressions for the viscous stress components and the viscous dissipation function in a arbitrary curvilinear (nonorthogonal) coordinate system which is arbitrary inhomogeneous pitch,and to develop the stress-boundary condition with viscosity and surface tension at the interface between two fluids.The results of the derivation of these equations showed which has been recognized to be of correct form in the Transactions of the ASME
Keywords:generalized matrix method  physical base  natural base  sheet  tensor  fluid mechanics  
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