用矢量势和涡方程计算闭腔内水的三维自然对流

本文应用三维矢量势和涡函数,导出了水的密度和温度之间任意变化情况下的矢量势和涡方程。然后利用矢量势和涡方程以及人工瞬变方法计算封闭腔中水的三维粘性自然对流。最后通过典型算例来分析和讨论水的密度和温度之间的反常变化特性对其三维自然对流的影响。

COMPUTATION OF THREE-DIMENSIONALNATURAL CONVECTION OF WATERUSING VECTOR POTENTIAL ANDVORTISITY EQUATIONS

At first, the three-dimensional vector potential and vorticity function are introduced, and the vector potential and vorticity equations are obtained in the case of arbitrary variation between density and temperature of water. Then, the vector potential and vorticity equations and the method of the false transient are applied to compute the three-dimensional viscous natural convection. Finaly, the effect of the property of unusual variation between density and temperature of water on three-dimensional natural convection is analysed and discussed by use of typical examples.