Acta Mechanica

, Volume 113, Issue 1–4, pp 233–239 | Cite as

Exact solutions for some simple flows of an Oldroyd-B fluid

  • K. R. Rajagopal
  • R. K. Bhatnagar


We present two simple but elegant solutions for the flow of an Oldroyd-B fluid. First, we consider the flow past an infinite porous plate and find that the problem admits an asymptotically decaying solution in the case of suction at the plate, and that in the case of blowing it admits no such solution. Second, we study the longitudinal and torsional oscillations of an infinitely long rod of finite radius. The solutions are found in terms of Bessel functions.


Dynamical System Exact Solution Fluid Dynamics Bessel Function Transport Phenomenon 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • K. R. Rajagopal
    • 1
  • R. K. Bhatnagar
    • 2
  1. 1.Dept. of Mech. EngineeringUniversity of PittsburghPittsburghU.S.A.
  2. 2.Dept. of MathematicsUniversity of PittsburghGreensburgU.S.A.

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