Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate
Joint Authors
Kang, Jianhong
Liu, Yingke
Xia, Tongqiang
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The unsteady flows of a generalized fractional Burgers’ fluid between two side walls perpendicular to a plate are studied for the case of Rayleigh-Stokes’ first and second problems.
Exact solutions of the velocity fields are derived in terms of the generalized Mittag-Leffler function by using the double Fourier transform and discrete Laplace transform of sequential fractional derivatives.
The solution for Rayleigh-Stokes’ first problem is represented as the sum of the Newtonian solutions and the non-Newtonian contributions, based on which the solution for Rayleigh-Stokes’ second problem is constructed by the Duhamel’s principle.
The solutions for generalized second-grade fluid, generalized Maxwell fluid, and generalized Oldroyd-B fluid performing the same motions appear as limiting cases of the present solutions.
Furthermore, the influences of fractional parameters and material parameters on the unsteady flows are discussed by graphical illustrations.
American Psychological Association (APA)
Kang, Jianhong& Liu, Yingke& Xia, Tongqiang. 2015. Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052985
Modern Language Association (MLA)
Kang, Jianhong…[et al.]. Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate. Advances in Mathematical Physics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1052985
American Medical Association (AMA)
Kang, Jianhong& Liu, Yingke& Xia, Tongqiang. Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052985
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052985