Exact Solutions in Generalized Oldroyd-B Fluid

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

doi:10.3879/j.issn.1000-0887.2012.04.002

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T.Hayat, Sahrish Zaib, S.Asghar, Awatif A.Hendi. Exact Solutions in Generalized Oldroyd-B Fluid[J]. Applied Mathematics and Mechanics, 2012, 33(4): 390-405. doi: 10.3879/j.issn.1000-0887.2012.04.002

Citation:

T.Hayat, Sahrish Zaib, S.Asghar, Awatif A.Hendi. Exact Solutions in Generalized Oldroyd-B Fluid[J]. Applied Mathematics and Mechanics, 2012, 33(4): 390-405. doi: 10.3879/j.issn.1000-0887.2012.04.002

Citation:

T.Hayat, Sahrish Zaib, S.Asghar, Awatif A.Hendi. Exact Solutions in Generalized Oldroyd-B Fluid[J]. Applied Mathematics and Mechanics, 2012, 33(4): 390-405. doi: 10.3879/j.issn.1000-0887.2012.04.002

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Exact Solutions in Generalized Oldroyd-B Fluid

doi: 10.3879/j.issn.1000-0887.2012.04.002

¹Department of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan;²Department of Physics, Faculty of Science, King Saud University, P.O.Box 1846, Riyadh 11321, Saudi Arabia;³Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan

Received Date: 2011-05-16
Rev Recd Date: 2012-01-04
Publish Date: 2012-04-15

Abstract

Abstract

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

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References(30)

References

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