New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium

Joint Authors

Khan, Ilyas
Anwar, Muhammad Imran
Fakhar, K.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-06-13

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

New exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid have been derived.

The Oldroyd-B fluid saturates the porous space.

Two different flow cases have been considered.

The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique.

The corresponding solutions for hydrodynamic Oldroyd-B fluid in a nonporous space appeared as the limiting cases of the obtained solutions.

Similar solutions for MHD Newtonian fluid passing through a porous space are also recovered.

Graphs are sketched for the pertinent parameters.

It is found that the MHD and porosity parameters have strong influence on velocity and shear stress fields.

American Psychological Association (APA)

Khan, Ilyas& Anwar, Muhammad Imran& Fakhar, K.. 2011. New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-469764

Modern Language Association (MLA)

Khan, Ilyas…[et al.]. New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-469764

American Medical Association (AMA)

Khan, Ilyas& Anwar, Muhammad Imran& Fakhar, K.. New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-469764

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-469764