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arXiv · 0803.4265

Some exact solutions for the rotational flow of a generalized second grade fluid between two circular cylinders

Amir Mahmood·Saifullah·Georgiana Bolat
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Abstract

The velocity field and the associated tangential stress corresponding to flow of a generalized second grade fluid between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. At time $t=0$ the fluid is at rest and at $t=0^+$ cylinders suddenly begin to rotate about their common axis with a constant angular acceleration. The solutions that have been obtained satisfy the governing differential equations and all imposed initial and boundary conditions. The similar solutions for a second grade fluid and Newtonian fluid are recovered from our general solutions. The influence of the fractional coefficient on the velocity of the fluid is also analyzed by graphical illustrations.

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Amir Mahmood, Saifullah, Georgiana Bolat. 2008-03-29. Some exact solutions for the rotational flow of a generalized second grade fluid between two circular cylinders. https://arxiv.org/abs/0803.4265

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