Exact solutions in generalized Oldroyd-B fluid

T. Hayat; S. Zaib; S. Asghar; A. A. Hendi

doi:10.1007/s10483-012-1560-7

Exact solutions in generalized Oldroyd-B fluid

T. Hayat
, S. Zaib
, S. Asghar
, A. A. Hendi

Quaid-I-Azam University
COMSATS University Islamabad
King Saud University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

This investigation deals with the influence of slip condition on the magnetohydrodynamic (MHD) and rotating flow of a generalized Oldroyd-B (G. Oldroyd-B) fluid occupying a porous space. Fractional calculus approach is used in the mathematical modeling. Three illustrative examples induced by plate oscillations and periodic pressure gradient are considered, and the exact solutions in each case are derived. Comparison is provided between the results of slip and no-slip conditions. The influence of slip is highlighted on the velocity profile by displaying graphs.

Original language	English
Pages (from-to)	411-426
Number of pages	16
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	33
Issue number	4
DOIs	https://doi.org/10.1007/s10483-012-1560-7
State	Published - Apr 2012
Externally published	Yes

Keywords

Exact solution
Fractional calculus
Slip condition

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10.1007/s10483-012-1560-7

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abstract = "This investigation deals with the influence of slip condition on the magnetohydrodynamic (MHD) and rotating flow of a generalized Oldroyd-B (G. Oldroyd-B) fluid occupying a porous space. Fractional calculus approach is used in the mathematical modeling. Three illustrative examples induced by plate oscillations and periodic pressure gradient are considered, and the exact solutions in each case are derived. Comparison is provided between the results of slip and no-slip conditions. The influence of slip is highlighted on the velocity profile by displaying graphs.",

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AU - Asghar, S.

AU - Hendi, A. A.

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AB - This investigation deals with the influence of slip condition on the magnetohydrodynamic (MHD) and rotating flow of a generalized Oldroyd-B (G. Oldroyd-B) fluid occupying a porous space. Fractional calculus approach is used in the mathematical modeling. Three illustrative examples induced by plate oscillations and periodic pressure gradient are considered, and the exact solutions in each case are derived. Comparison is provided between the results of slip and no-slip conditions. The influence of slip is highlighted on the velocity profile by displaying graphs.

KW - Exact solution

KW - Fractional calculus

KW - Slip condition

UR - https://www.scopus.com/pages/publications/84861435348

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JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 4

ER -

Exact solutions in generalized Oldroyd-B fluid

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Keywords

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