圆柱形容器中垂直激励的弱黏性流体界面波  

Interface Waves of a Weakly Viscous Fluid in a Circular Cylindrical Vessel Subjected to a Vertical Excitation

作　　者：长龙[1] 菅永军[2] 刘全生[2] 娜仁[2] 布仁满都拉[2,3] 

机构地区：[1]内蒙古财经大学统计与数学学院,呼和浩特010071 [2]内蒙古大学数学科学学院,呼和浩特010021 [3]赤峰学院数学与统计学院,内蒙古赤峰024000

出　　处：《内蒙古大学学报（自然科学版）》2014年第4期353-359,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(11062005;11202092;11362012);非线性力学国家重点实验室开放基金;内蒙古自治区高等学校青年科技英才支持计划(NJYT-13-A02);内蒙古自治区自然科学基金(批准号:2012MS0107;2012MS0602);内蒙古自治区高等学校科学技术研究一般项目(NJZY14109;NJZY14130;NJZY14276)资助

摘　　要：利用两时间尺度的摄动展开法,研究了在圆柱形容器中由垂直强迫激励引起的两种互不相容液体的弱黏性流体界面驻波运动.假设在圆柱形容器中的流体是不可压的,运动是无旋的,考虑了外部激励和表面张力的影响.基于弱黏性流体的假设,流场分解为外势流部分和黏性边界层部分.由相容性条件推导出振幅方程,并给出阻尼系数的解析表达式.The two time scales perturbation method is used to study the motion of the interface standing waves between two immiscible liquids in a circular cylindrical vessel subjected to a vertical oscillation.It is assumed that the fluid in the circular cylindrical vessel is incompressible and the motion is irrotational,the influences of external excitation and surface tension are also taken into consideration.Based on the assumption of the weakly viscous fluid,the flow field is divided into the outer potential flow layer and viscous boundary layer.The amplitude equation is derived from the compatibility conditions,and the analytic expression of damping coefficient is given.

关 键 词：垂直激励 振幅方程 弱黏性流体 界面波 阻尼系数 

分 类 号：O354.5[理学—流体力学]