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1·A new idea is suggested to extend the viscous vector equations in non-orthogonal curvilinear coordinates.

本文讨论在非正交曲线坐标系中，粘性流矢量方程一种新的展开思路。

2·In this paper the cosine transform matrix relating Cartesian coordinates with orthogonal curvilinear coordinates is introduced.

本文介绍笛卡尔坐标与正交曲线坐标的“余弦变换矩阵”，证明这个变换矩阵是正交矩阵。

3·Two-phase turbulent reacting flow model of the internal operating processes in Liquid Rocket Engine (LRE) is set up in non-orthogonal curvilinear coordinates.

建立了任意斜交曲线坐标系下液体火箭发动机(LRE)内部工作过程的气液两相湍流化学反应流模型。

4·The model system is in the generalized curvilinear coordinates, using high precision self-adaptive grids to fit the complicated topographies and coastal shapes.

模型系统采用广义曲线坐标系下的形式，使用高精度的自适应网格拟合复杂岸界。

5·This paper is concerned with a turbulence mathematical model under orthogonal curvilinear coordinates including the effects of streamline curvature on turbulent flow.

考虑弯曲边界曲率效应对水流水力特性的影响，建立了正交曲线坐标系下的紊流数学模型。

6·Based on the fact, regarding the pipe of direct-buried pipe as cylindrical shell, the article establishes curvilinear coordinates, and analyzes the loading on the pipe.

根据工程实际，利用弹性薄壳理论，将直埋管道直管段作为柱壳建立物理模型，并在相应曲线坐标下，对作用于管道上的荷载进行受力分析。

7·In this paper the cosine transform matrix relating Cartesian coordinates with orthogonal curvilinear coordinates is introduced. It is shown that this transform matrix is an orthogonal matrix.

本文介绍笛卡尔坐标与正交曲线坐标的“余弦变换矩阵”，证明这个变换矩阵是正交矩阵。

8·Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.

利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。