Similarity Solutions that Give Rise to Hyperbolicity and Change of Type in Steady Flows of Viscoelastic Fluids

  • Daniel D. Joseph
Part of the Applied Mathematical Sciences book series (AMS, volume 84)


N. Phan-Thien [1983a,b] has found a similarity solution of an Oldroyd B fluid between parallel plates which rotate at different speeds around a common axis perpendicular to the plates. The solution is modeled according to a famous one by T. Von Karman in which the fluid variables are resolved into a quadratic polynomial in r with coefficients to be determined as functions of z. This problem is important because it may model the flow away from edges of the finite disks used in rheometers.


Reynolds Number Mach Number Parallel Plate Similarity Solution Viscoelastic Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Daniel D. Joseph
    • 1
  1. 1.Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA

Personalised recommendations