Stokes flow before plane boundary with mixed stick-slip boundary conditions

作     者：N.AKHTAR G.A.H.CHOWDHURY S.K.SEN 

作者机构：Department of MathematicsShahjalal University of Science and Technology Research Centre for Mathematical and Physical SciencesUniversity of Chittagong 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2011年第32卷第6期

页      面：795-804页

核心收录：

学科分类：08[工学] 080103[工学-流体力学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Acknowledgements The authors are grateful to Dr.J.N.ISLAM Professor in the Research Centre for Mathematical and Physical Sciences University of Chittagong Bangladesh for his help and encouragement in the preparation of this paper 

主　　题：Stokes flow Stokes stream function stick-slip boundary conditions,harmonic function biharmonic function 

摘      要：A general theorem for the Stokes flow over a plane boundary with mixed stick-slip boundary conditions is established. This is done by using a representation for the velocity and pressure fields in the three-dimensional Stokes flow in terms of a biharmonic function and a harmonic function. The earlier theorem for the Stokes flow due to fundamental singularities before a no-slip plane boundary is shown to be a special case of the present theorem. Furthermore, in terms of the Stokes stream function, a corollary of the theorem is also derived, providing a solution to the problem of the axisymmetric Stokes flow along a rigid plane with stick-slip boundary conditions. The formulae for the drag and torque exerted by the fluid on the boundary are established. An illustrative example is given.