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A note on sinusoidal motion of a viscoelastic non-Newtonian fluid

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Abstract

In this note, the exact solutions of velocity field and associated shear stress corresponding to the flow of second-grade fluid in a cylindrical pipe, subject to a sinusoidal shear stress, are determined by means of Laplace and finite Hankel transform. These solutions are written as sum of steady-state and transient solutions, and they satisfy governing equations and all imposed initial and boundary conditions. The corresponding solutions for the Newtonian fluid, performing the same motion, can be obtained from our general solutions. At the end of this note, the effects of different parameters are presented and discussed by showing flow profiles graphically.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, 54000, Pakistan

    A. Mahmood, I. Siddique & S. Nazir

  2. Department of Mathematics, University of Karachi, Karachi, 75270, Pakistan

    N. A. Khan

Authors
  1. A. Mahmood
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  2. N. A. Khan
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  3. I. Siddique
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  4. S. Nazir
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Correspondence to A. Mahmood.

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Mahmood, A., Khan, N.A., Siddique, I. et al. A note on sinusoidal motion of a viscoelastic non-Newtonian fluid. Arch Appl Mech 82, 659–667 (2012). https://doi.org/10.1007/s00419-011-0581-5

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  • DOI: https://doi.org/10.1007/s00419-011-0581-5

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