期刊
ARCHIVE OF APPLIED MECHANICS
卷 81, 期 11, 页码 1659-1666出版社
SPRINGER
DOI: 10.1007/s00419-011-0509-0
关键词
Generalized Maxwell fluid; Velocity field; Shear stress; Integral transforms; Exact solutions
类别
资金
- Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan
- Higher Education Commission, Islamabad, Pakistan
In this paper, the velocity field and the associated tangential stress corresponding to the rotational flow of a generalized Maxwell fluid within an infinite circular cylinder are determined by means of the Laplace and finite Hankel transforms. Initially, the fluid is at rest, and the motion is produced by the rotation of the cylinder about its axis with a unsteady angular velocity. The solutions that have been obtained are presented under series form in terms of the generalized G (a,b,c) (, t)-functions. The similar solutions for the ordinary Maxwell and Newtonian fluids, performing the same motion, are obtained as special cases, when beta -> 1, respectively beta -> 1 and lambda -> 0, from general solutions. Finally, the solutions that have been obtained are compared by graphical illustrations, and the influence of the pertinent parameters on the fluid motion is also underlined by graphical illustrations.
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