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

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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.

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Authors and Affiliations

  1. School of Aerospace, Tsinghua University, 100084, Beijing, China

    Kaixin Hu & Keqin Zhu

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  1. Kaixin Hu
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  2. Keqin Zhu
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Correspondence to Keqin Zhu.

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Hu, K., Zhu, K. The exact solution of Stokes’ second problem including start-up process with fractional element. Acta Mech Sin 25, 577–582 (2009). https://doi.org/10.1007/s10409-009-0245-7

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  • DOI: https://doi.org/10.1007/s10409-009-0245-7

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