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First Problem of Stokes for Generalized Burgers' Fluids
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-04
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jamil, Muhammad. 2012. First Problem of Stokes for Generalized Burgers' Fluids. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-501624
Modern Language Association (MLA)
Jamil, Muhammad. First Problem of Stokes for Generalized Burgers' Fluids. ISRN Mathematical Physics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-501624
American Medical Association (AMA)
Jamil, Muhammad. First Problem of Stokes for Generalized Burgers' Fluids. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-501624
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501624