非惯性系中流体质量力通用表达式研究

Study on General Expression for Liquid Force Per Unit Mass under Non-Inertial Reference Frame

运动条件下的热工水力问题通常需要在非惯性系中进行研究,从而引出重力的坐标变换和运动附加力计算的问题。本文基于严格的数学推导,得出三维转动的坐标过渡矩阵,给出流体质量力的通用展开式,并对几种典型海洋条件下流体所受质量力进行讨论,可供运动条件下流体动力学或热工水力研究参考。

Thermal hydraulic problems under motion conditions are usually studied in non-inertial reference frames for convenience, which results in the necessity of gravity vector transformation and additional forces calculation. Based on the strict mathematical deductions, the transformation matrix of orthogonal coordinates for 3 dimensional rotating has been derived and the general expression for liquid force per unit mass under non-inertial reference frame was obtained in this paper. Forces under various typical ocean moving conditions were also calculated and discussed for application purpose. This paper provides a useful reference for thermal hydraulic researches under motion conditions.