热格子-Boltzmann模型非均匀网格算法及应用

THE NONUNIFORM MESH APPROACH WITH THERMAL LATTICE BOLTZMANN MEHTOD AND ITS ALLPICATION

本文针对曲边界流动换热问题,建立了一种新的热格子-Boltzmann非均匀网格算法。通过对环形腔内自然对流问题的模拟并与实验和经典理论结果对照,验证了该模型的正确性。然后将此方法运用到磁流体无泵驱动环路系统,研究了温差和磁场强度对此系统流动的影响。结果显示磁流体可以在环路内持续稳定流动;在加热和冷却入口处温度呈现V形分布,当温差达到50℃后,速度变化就不再明显。

In this paper a new thermal lattice Boltzmann method with nonuniform mesh grids has been proposed, by which the flow and energy transfer progress with curly boundary can be calculated.For validating the present method, the convection of air in an annular cavity was simulated. The result shows that it is accordantly with both the experimental and classical calculational results. With the present method, the annular system based on the thermomagnetie effect of a temperature-sensitive magnetic fluid was investigated. The influences of difference in temperature between heating section and cooling section and the intensity of magnetic field were studied. The results show that the magnetic fluid can flow steadily in the circle channel, in the entrance of heating section and cooling section the distribution of temperature present V figure. As the difference in temperature achieve 50℃, the velocity changes no longer obviously.