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Euler an navier-stokes equations in conservation forms with arbitrary coordinates and components and their applications in turabomachinery

机译:具有任意坐标和分量的守恒形式的欧拉-斯托克斯方程组及其在涡轮机械中的应用

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The present paper gives the introductive description of a new method of derivatioon and expression by the authors for the conservation from of fluid dynamic equations in curvilinear coordinate systes.As different to the usually used mehtod based on the corrdinate transformation,our mehtod is rid of the dependence on Cartesian coordinates and overcomes the difficulty that either arbitrary components fo velocity cannot be adopted or the ocnservation cannot be riegorously presenved.Example equations are taken to demonstrate the flexible applications of this general and universal mehtod to the cases of various corrdinates and velocity components.Computational examples show that the method is quite suitable to turbomachinery.
机译:本文介绍了一种新的推导和表达方法,以保护曲线坐标系中的流体动力学方程式。这种方法与基于corordinate变换的常用方法不同,它摆脱了依赖于笛卡尔坐标,并克服了无法采用速度的任意分量或无法精确地表示守恒的难题,并通过示例方程式证明了这种通用方法和通用方法在各种坐标和速度分量情况下的灵活应用。计算实例表明,该方法非常适合于涡轮机械。

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