Some exact solutions of the oscillatory motion of a generalized second grade fluid in an annular region of two cylinders

查看全文 作　　者：[1]A.Mahmood;[2]C.Fetecau;[3]N.A.Khan;[1,4]M.Jamil

机构地区：[1]Department of Mathematics,COMSATS Institute of Information Technology;[2]Department of Mathematics,Technical University of Iasi;[3]Department of Mathematics,University of Karachi;[4]Abdus Salam School of Mathematical Sciences,GC University

出　　处：《Acta Mechanica Sinica》索引2010年第26卷第4期,共10页

摘　　要：The velocity field and the associated shear stress corresponding to the longitudinal oscillatory flow of a generalized second grade fluid,between two infinite coaxial circular cylinders,are determined by means of the Laplace and Hankel transforms.Initially,the fluid and cylinders are at rest and at t = 0+ both cylinders suddenly begin to oscillate along their common axis with simple harmonic motions having angular frequencies 1 and 2.The solutions that have been obtained are presented under integral and series forms in terms of the generalized G and R functions and satisfy the governing differential equation and all imposed initial and boundary conditions.The respective solutions for the motion between the cylinders,when one of them is at rest,can be obtained from our general solutions.Furthermore,the corresponding solutions for the similar flow of ordinary second grade fluid and Newtonian fluid are also obtained as limiting cases of our general solutions.At the end,the effect of different parameters on the flow of ordinary second grade and generalized second grade fluid are investigated graphically by plotting velocity profiles. 关键词：广义二阶流体振荡运动环形区域汽缸精确解 HANKEL变换 LAPLACE 二年级

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Some exact solutions of the oscillatory motion of a generalized second grade fluid in an annular region of two cylinders

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耦合文献(52)

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