Flow on Oscillating Rectangular Duct for Maxwell Fluid

M.Nazar; Fatima Shahid; M.Saeed Akram; Q.Sultan

doi:10.3879/j.issn.1000-0887.2012.06.004

Volume 33 Issue 6

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M.Nazar, Fatima Shahid, M.Saeed Akram, Q.Sultan. Flow on Oscillating Rectangular Duct for Maxwell Fluid[J]. Applied Mathematics and Mechanics, 2012, 33(6): 678-691. doi: 10.3879/j.issn.1000-0887.2012.06.004

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Flow on Oscillating Rectangular Duct for Maxwell Fluid

doi: 10.3879/j.issn.1000-0887.2012.06.004

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

Received Date: 2011-04-13
Rev Recd Date: 2012-02-11
Publish Date: 2012-06-15

Abstract

Abstract

An analysis for the unsteady flow of an incompressible Maxwell fluid in an oscillating rectangular cross section was presented. Using the Fourier and Laplace transforms as mathematical tool, the solutions were presented as sum of steady-state and transient solutions. For large times, when the transients disappear, the solution was represented by the steady-state solution. Solutions for Newtonian fluids appear as limiting cases of the solutions obtained here. In the absence of frequency of oscillation, the problem for flow of Maxwell fluid in a duct of rectangular cross-section moving parallel to its length was obtained. Finally, the required time to reach the steady-state for sine oscillations of the rectangular duct is obtained by graphical illustrations for different parameters. Moreover, the graphs are sketched for velocity for the variations of x and y.
- Maxwell fluid,
- oscillating rectangular duct,
- velocity field

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References(19)

References

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