非正交曲线坐标系中空间度量张量的计算

Calculation of Space Metric Tensor for Non-orthogonal Coordinate System

运用非正交曲线坐标系中空间度量张量的一系列计算公式，建立了油气输送等复杂系统的动量或能量传递的物理问题在任意坐标系中的数学模型。通过实例说明了在非正交的任意曲线坐标系中选择和确定物理基及空间度量张量的方法，得到了与以往文献吻合的结果。

A series of calculation physical base and space metric for non-orthogonal coordinate System areapplied which can be used to obtain the mathematical model for describing gcometry and mechanics ofcontinua such as oil and gas in energy-deliverying. A methed for choicing and determining Physicalbase and space metric tensor in non-orthogonal coordinate system is illustrated by examples. The calculation shows that this methed is correct and effective. And the results are in exceelent agreement withthose in other references.