Acta Mechanica

, Volume 214, Issue 3, pp 395–407

Starting solutions for oscillating motions of a generalized Burgers’ fluid in cylindrical domains


DOI: 10.1007/s00707-010-0288-7

Cite this article as:
Tong, D. Acta Mech (2010) 214: 395. doi:10.1007/s00707-010-0288-7


Exact solutions for the motions of a generalized Burgers’ fluid due to longitudinal and torsional oscillations of a circular cylinder are obtained using Hankel transform and Laplace transform. These solutions are expressed as sum of steady-state and transient solutions. They describe the motion of the fluid for some time after its initiation. After that time, when the transients disappear, the motion is described by the steady-state solution which is periodic in time and independent of the initial conditions. Finally, by means of graphical illustrations, the velocity field is determined for sine and cosine combined oscillations of the boundary.

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.School of Mathematics and Computational ScienceChina University of PetroleumDongying ShandongPeople’s Republic of China