First problem of Stokes for generalized Burgers' fluids
type: Item
instance of: scholarly article
title: First problem of Stokes for generalized Burgers' fluids
zbMATH Open document ID: 1234.35196
DOI: 10.5402/2012/831063
published in: ISRN Mathematical Physics
publication date: 2012-03-14T00:00:00Z
review text: Summary: The velocity field and the adequate shear stress corresponding to the first problem of Stokes for generalized Burgers' fluids are determined in simple forms by means of integral transforms. The solutions that have been obtained, presented as a sum of steady and transient solutions, satisfy all imposed initial and boundary conditions. They can be easily reduced to the similar solutions for Burgers, Oldroyd-B, Maxwell, and second-grade and Newtonian fluids. Furthermore, as a check of our calculi, for small values of the corresponding material parameters, their diagrams are almost identical to those corresponding to the known solutions for Newtonian and Oldroyd-B fluids. Finally, the influence of the rheological parameters on the fluid motions, as well as a comparison between models, is graphically illustrated. The non-Newtonian effects disappear in time, and the required time to reach steady-state is the lowest for Newtonian fluids.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 65Z05
zbMATH DE Number: 6014701
Wikidata QID: Q58692673
author: Muhammad Jamil
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/831063
OpenAlex ID: W2054974913
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description: scientific article; zbMATH DE number 6014701