Applications of sumudu transform to mhd flows of an oldroyd-b fluid

M. Zahid, M. A. Rana, T. Haroon, A. M. Siddiqui

Research output: Contribution to journalArticle

Abstract

In this paper, Sumudu transform is employed to solve the unsteady MHD flow problems namely, Couette flow, Poiseuille flow and generalized Couette flow of an Oldroyd-B fluid between two parallel plates. The fluid is electrically conducting and magnetic field is applied perpendicular to the plates. Since the Sumudu transform has units preserving properties, therefore aforementioned problems are solved without restoring the frequency domain. But these properties not exist in the Laplace transform, which is the major benefit of Sumudu transform over the Laplace transform. Further, the solutions that have been obtained, have complete agreement with those established by using the Laplace transform. The obtain solutions reveal that the method is very effective and simple.

Original languageEnglish (US)
Pages (from-to)7027-7036
Number of pages10
JournalApplied Mathematical Sciences
Volume7
Issue number141-144
DOIs
StatePublished - Dec 1 2013

Fingerprint

Oldroyd-B Fluid
MHD Flow
Laplace transforms
Laplace transform
Couette Flow
Transform
Fluids
Poiseuille Flow
Unsteady Flow
Magnetohydrodynamics
Perpendicular
Frequency Domain
Magnetic Field
Magnetic fields
Fluid
Unit

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

Zahid, M. ; Rana, M. A. ; Haroon, T. ; Siddiqui, A. M. / Applications of sumudu transform to mhd flows of an oldroyd-b fluid. In: Applied Mathematical Sciences. 2013 ; Vol. 7, No. 141-144. pp. 7027-7036.
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Applications of sumudu transform to mhd flows of an oldroyd-b fluid. / Zahid, M.; Rana, M. A.; Haroon, T.; Siddiqui, A. M.

In: Applied Mathematical Sciences, Vol. 7, No. 141-144, 01.12.2013, p. 7027-7036.

Research output: Contribution to journalArticle

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