Transient flows of a second grade fluid

T. Hayat, Masood Khan, A. M. Siddiqui, S. Asghar

Research output: Contribution to journalArticlepeer-review

93 Scopus citations


Exact analytical solutions for a class of unsteady unidirectional flows of an incompressible second-order fluid are constructed. The flows are generated impulsively from rest by motion of a plate or two plates or by sudden application of a pressure gradient. Expressions for velocity, flux and skin friction are obtained for both large and small times. It is found that large and small times solutions are dependent on the coefficient of viscoelasticity. The solutions corresponding to Newtonian fluids can be easily obtained from those for fluids of second order by letting the viscoelastic parameter to be zero. Published by Elsevier Ltd.

Original languageEnglish (US)
Pages (from-to)1621-1633
Number of pages13
JournalInternational Journal of Non-Linear Mechanics
Issue number10
StatePublished - Dec 1 2004

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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