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The exact solution of Stokes’ second problem including start-up process with fractional element

The exact solution of Stokes’ second problem including start-up process with fractional element Abstract The start-up process of Stokes’ second problem of a viscoelastic material with fractional element is studied. The fluid above an infinite flat plane is set in motion by a sudden acceleration of the plate to steady oscillation. Exact solutions are obtained by using Laplace transform and Fourier transform. It is found that the relationship between the first peak value and the one of equal-amplitude oscillations depends on the distance from the plate. The amplitude decreases for increasing frequency and increasing distance. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Sinica" Springer Journals

The exact solution of Stokes’ second problem including start-up process with fractional element

"Acta Mechanica Sinica" , Volume 25 (5): 6 – Oct 1, 2009

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References (16)

Publisher
Springer Journals
Copyright
2009 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/s10409-009-0245-7
Publisher site
See Article on Publisher Site

Abstract

Abstract The start-up process of Stokes’ second problem of a viscoelastic material with fractional element is studied. The fluid above an infinite flat plane is set in motion by a sudden acceleration of the plate to steady oscillation. Exact solutions are obtained by using Laplace transform and Fourier transform. It is found that the relationship between the first peak value and the one of equal-amplitude oscillations depends on the distance from the plate. The amplitude decreases for increasing frequency and increasing distance.

Journal

"Acta Mechanica Sinica"Springer Journals

Published: Oct 1, 2009

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