粘性流中刚性颗粒非恒定运动的附加质量力

On added mass force acting on a small particle moving unsteadily in viscous flows

从分析低颗粒雷诺数下刚性小颗粒的非恒定运动出发 ,给出了粘性流中附加质量力的概念 ;进而采用涡量分析的方法 ,从理论上探讨了任意颗粒雷诺数下粘性流中颗粒非恒定运动的附加质量力问题 ,结果表明 ,粘性流体中颗粒作任意非恒定运动时所受附加质量力与其在理想流体中所受附加质量力具有相同的形式 .

A concept of added mass force in viscous flows is introduced through rigorous analysis of a particle transient motion at low particle Reynolds number. For the particle transient motion at arbitrary high Reynolds number in viscous flows, the corresponding added mass force is researched by method of vorticity analysis. It is shown that the added mass force acting on a particle moving unsteadily in viscous flows has the same formulation as that in nonviscous flows.