绕汽柱热毛细对流的数值模拟

NUMERICAL SIMULATION OF MARANGONI CONVECTION AROUND A VAPOR STEM

本文建立了一个在常重力及微重力情况下绕汽柱热毛细对流的数学模型，并采用有限差分法来积分非稳态动量方程和能量方程，得到了不同参数下热毛细对流的数值解．通过数值模拟，得到了不同参数下热毛细对流的速度矢量场，了解了有关无量纲参数对热毛细对流的影响规律．得出结论：热毛细对流不仅在微重力条件下存在，即使在重力场中，在特定情况下也是不能忽略的。

A study on the Marangoni convection induced by temperature gradient is carried out in the present paper, as a frontier research subject being paid wide attention with the opening of the space microgravity environment. A mathematical model of the Marangoni convection around a vapor stem under microgravity and earthgravity conditions is set up and a finite difference technique is employed to numerically integrate the unsteady momentum and heat transfer equations. A numerical solution of the Marangoni convection under different parameters is obtained. The effect of some dimensionless physical parameters on Marangoni convection is emphasized by the aid of numerical simulation. The results show that under microgravity the velocity fields are strongly influellced by Marangoni convection. As Marangoni number increases, the convection is gradually enhanced. When the direction of buoyancy induced convection is parallel to that of Marangoni convection they will enhance each other. On the contrary, they will weaken each other.