Analytical solutions for unsteady flow problems of Maxwell fluid in a porous mediam

Simple item page
dc.contributor.authorSiddique
dc.contributor.authorAbdullah Y. Al Hossain
dc.contributor.authorM. B. Riaz
dc.date.accessioned2016-10-04T13:18:59Z
dc.date.available2016-10-04T13:18:59Z
dc.date.issued2015
dc.description.abstractIn this paper, the problems of unsteady unidirectional flow of Maxwell fluid in a porous media are examined. The governing equations of flow are modelled, by employing the modified Darcy's law of a Maxwell fluid. Using Sumudu transform, analytical solutions of modelled equations are established for the following problems: (i) unsteady Couette flow, (ii) unsteady Poiseuille flow and (iii) unsteady generalized Couette flow. Since the Sumudu transform has units preserving properties, therefore aforementioned problems are solved without restoring the frequency domain. This is one of many strength points for this new transform, especially with respect to applications in problems with physical dimensions. Further, the solutions for the velocity fields that have been obtained; have complete agreement with those established by using the Laplace transform. Moreover, the corresponding solutions for Newtonian fluids as well as those for Maxwell fluids can be obtained as limiting cases of our solutions. Finally, the impact of relevant parameters on the velocity of fluids is also analyzed by graphical illustrations.en_US
dc.identifier.urihttps://escholar.umt.edu.pk/handle/123456789/2010
dc.publisherScience Internationalen_US
dc.subjectSumudu transformen_US
dc.subjectMaxwell fluiden_US
dc.subjectPorous mediaen_US
dc.subjectVelocity profileen_US
dc.titleAnalytical solutions for unsteady flow problems of Maxwell fluid in a porous mediamen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Analytical solutions for unsteady flow problems of Maxwell fluid in a porous mediam.pdf
Size:
368.23 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Department of Mathematics