W. Akhtar and M. Nazar: Exact solutions for the rotational flow of generalized Maxwell fluids in a circular cylinder, p.93-101

Abstract:

In this note 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 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 integral and series forms in terms of the generalized G-functions. The similar solutions for ordinary Maxwell fluid, performing the same motion, are obtained as particular cases of our solutions for $\beta=1$.

Key Words: Generalized Maxwell model, velocity fiel, shear stress, Exact solutions.

2000 Mathematics Subject Classification: Primary: 76A05,
Secondary: 76U05.

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