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Exact solutions for generalized Burgers’ fluid in an annular pipe

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Abstract

This paper deals with some unsteady unidirectional transient flows of generalized Burgers’ fluid in an annular pipe. Exact solutions of some unsteady flows of generalized Burgers’ fluid in an annular pipe are obtained by using Hankel transform and Laplace transform. The following two problems have been studied: (1) Poiseuille flow due to a constant pressure gradient; (2) axial Couette flow in a annulus. The well known solutions for Navier-Stokes fluid, as well as those corresponding to a Maxwell fluid, a second grade fluid and an Oldroyd-B fluid appear as limiting cases of our solutions.

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Authors and Affiliations

  1. China University of Petroleum (at East of China), Shandong, Dongyiing, 257061, China

    Dengke Tong & Liantao Shan

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  1. Dengke Tong
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  2. Liantao Shan
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Correspondence to Dengke Tong.

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Tong, D., Shan, L. Exact solutions for generalized Burgers’ fluid in an annular pipe. Meccanica 44, 427–431 (2009). https://doi.org/10.1007/s11012-008-9179-6

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  • DOI: https://doi.org/10.1007/s11012-008-9179-6

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