Exact Solutions for a Rotational Flow of Generalized Second Grade Fluids Through a Circular Cylinder

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dc.creatorMahmood, Amir
dc.creatorSaifullah
dc.creatorRubab, Qammar
dc.date2008-02-26
dc.date.accessioned2026-07-07T09:23:17Z
dc.date.available2026-07-07T09:23:17Z
dc.descriptionIn this note the velocity field and the associated tangential stress corresponding to the rotational flows of a generalized second grade 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, with the angular velocity $Ω.t$. The velocity field and the adequate shear stress are presented under integral and series forms in terms of the generalized G-functions. Furthermore, they are presented as a sum between the Newtonian solutions and the adequate non-Newtonian contributions. The corresponding solutions for the ordinary second grade fluid and Newtonian fluid are obtained as particular cases of our solutions for $β= 1$, respectively $α= 0$ and $β= 1$.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0802.3762
dc.identifierhttp://arxiv.org/abs/0802.3762
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155679
dc.subjectMathematical Physics
dc.titleExact Solutions for a Rotational Flow of Generalized Second Grade Fluids Through a Circular Cylinder
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