【摘要】 本文在考虑界面张力的条件下 ,用边界层方法通过把液体粘性对无粘势流的影响化为修改势流在自由面上边界条件的办法 ,导出了数值模拟二维气泡在粘性液体中上升和变形的边界积分方法。边界层近似的误差为 O (δ3 ) =O(Re-3 2 )。数值模拟结果显示 ,在大气泡 (大Reynolds数 )情形 ,粘性的影响很小。随着气泡尺寸的减小 ,表面张力和粘性的影响都增强 ,但与表面张力相比 ,粘性的影响处于比较次要的地位更多还原

【Abstract】 Under the consideration of surface tension, the boundary integration method for numerical simulation of a two dimensional bubble rising and distorting in a viscous liquid is derived by use of the boundary layer approximation, in which the effects of the liquid viscosity on the inviscid potential flow are reduced to the modifications of boundary conditions of the potential flow at the free surface. The order of error of the boundary layer approximation is O(δ 3)= O (Re -32 ). The numerical results show that for the case of larger bubble (higher Reynolds number) the effects of viscosity are small. When the size of the bubble reduces, the effects of surface tension and viscosity increase, but compared with the former the latter is in a secondary position. [WT5HZ]更多还原