Asymptotic solution of thermocapillary convection in two immiscible liquid layers in a shallow annular cavity  

作　　者：LI YouRong,WANG ShuangCheng,WU ShuangYing & SHI WanYuan College of Power Engineering,Chongqing University,Chongqing 400044,China 

出　　处：《Science China(Technological Sciences)》2010年第6期1655-1665,共11页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No.50776102)

摘　　要：The steady laminar two-dimensional thermocapillary convection of two superposed horizontal liquid layers in a shallow annular cavity was investigated using asymptotical analysis.The liquids were supposed to be immiscible with a nondeformable interface.The cavity was heated from the outer cylindrical wall and cooled at the inner wall.Bottom and top surfaces were rigid and adiabatic.Asymptotic solutions were obtained in the core region in the limit as the aspect ratio,which was defined as the ratio of the lower layer thickness to the gap width,and trended to zero.The numerical experiments were also carried out to compare with the asymptotic solution of the steady two-dimensional thermocapillary convection.It is found that the expressions of velocity and temperature fields in the core region are valid in the limit of the small aspect ratio.The steady laminar two-dimensional thermocapillary convection of two superposed horizontal liquid layers in a shallow annular cavity was investigated using asymptotical analysis.The liquids were supposed to be immiscible with a nondeformable interface.The cavity was heated from the outer cylindrical wall and cooled at the inner wall.Bottom and top surfaces were rigid and adiabatic.Asymptotic solutions were obtained in the core region in the limit as the aspect ratio,which was defined as the ratio of the lower layer thickness to the gap width,and trended to zero.The numerical experiments were also carried out to compare with the asymptotic solution of the steady two-dimensional thermocapillary convection.It is found that the expressions of velocity and temperature fields in the core region are valid in the limit of the small aspect ratio.

关 键 词：ASYMPTOTIC solution THERMOCAPILLARY flow two-layer system SHALLOW ANNULAR cavity 

分 类 号：O363.2[理学—流体力学]