Oscillatory flow of second grade fluid in cylindrical tube

作     者：A.ALI S.ASGHAR H.H.ALSULAMI 

作者机构：Laboratoire Jean Alexandre DieudonneUniversite de Nice Sophia Antipolis Department of MathematicsCommission on Science and Technology for Sustainable Development in the SouthInstitute of Information Technology Department of MathematicsKing Abdulaziz University 

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

年 卷 期：2013年第34卷第9期

页      面：1097-1106页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 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）] 

主　　题：second grade fluid cylindrical coordinate oscillatory flow incompressible flow laminar flow Navier-Stokes equation partial differential equation Wentzel- Kramers-Brillouin (WKB) approximation 

摘      要：The unsteady oscillatory flow of an incompressible second grade fluid in a cylindrical tube with large wall suction is studied analytically. Flow in the tube is due to uniform suction at the permeable walls, and the oscillations in the velocity field are due to small amplitude time harmonic pressure waves. The physical quantities of interest are the velocity field, the amplitude of oscillation, and the penetration depth of the oscillatory wave. The analytical solution of the governing boundary value problem is obtained, and the effects of second grade fluid parameters are analyzed and discussed.