On the unsteady rotational flow of a fractional second grade fluid through a circular cylinder

被引:13
作者
Athar, M. [1 ]
Kamran, M. [1 ]
Imran, M. [1 ]
机构
[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan
关键词
Generalized second grade fluid; Velocity field; Shear stress; Exact solutions; SURFACE SUDDENLY SET; TORSIONAL OSCILLATIONS; STARTING SOLUTIONS; VISCOELASTIC FLUID; MAXWELL MODEL; MOTION; STOKES; VORTEX;
D O I
10.1007/s11012-010-9373-1
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Here the velocity field and the associated tangential stress corresponding to the rotational flow of a generalized second grade fluid within an infinite circular cylinder are determined by means of the Laplace and finite Hankel transforms. At time t=0 the fluid is at rest and the motion is produced by the rotation of the cylinder around its axis. The solutions that have been obtained are presented under series form in terms of the generalized G-functions. The similar solutions for ordinary second grade and Newtonian fluids are obtained from general solution for beta -> 1, respectively, beta -> 1 and alpha (1)-> 0. Finally, the influences of the pertinent parameters on the fluid motion, as well as a comparison between models, is underlined by graphical illustrations.
引用
收藏
页码:603 / 611
页数:9
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