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Exact solutions of generalized Oldroyd-B fluid subject to a time-dependent shear stress in a pipe

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Title: Exact solutions of generalized Oldroyd-B fluid subject to a time-dependent shear stress in a pipe

Authors: Qammar Rubbab, Syed Muhammad Husnine, Amir Mahmood

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2009

Volume: 1

Issue: 1

Language: English

Categories
Pipe Flow (4) Shear Stress (2) Fluid Dynamics (835) Physics (3755) Rheology (113)

Abstract

The velocity field and the shear stress corresponding to the unsteady flow of a generalized Oldroyd-B fluid in an infinite circular cylinder subject to a longitudinal time-dependent shear stress are determined by means of Hankel and Laplace transforms. The exact solutions, written in terms of the generalized \(G\)-functions, satisfy all imposed initial and boundary conditions. The similar solutions for ordinary Oldroyd-B, ordinary and generalized Maxwell, ordinary and generalized second grade as well as for Newtonian fluids are obtained as limiting cases of our general solutions.

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