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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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| Authors: | Amir Mahmoo C Fetecau NA Khan and M Jamil |
| Institution: | A.Mahmood · C.Fetecau · N.A.Khan · M.Jamil Department of Mathematics,COMSATS Institute of Information Technology,Lahore,Pakistan Department of Mathematics,Technical University of Iasi,Iasi 700050,Romania Department of Mathematics,University of Karachi,Karachi 75270,Pakistan Abdus Salam School of Mathematical Sciences,GC University,Pakistan |
| Abstract: | 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 ser... |
| Keywords: | Generalized second grade fluid · Velocity field · Shear stress · Longitudinal oscillatory flow · Laplace and Hankel transforms |
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