Similarity Solutions that Give Rise to Hyperbolicity and Change of Type in Steady Flows of Viscoelastic Fluids
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.
KeywordsReynolds Number Mach Number Parallel Plate Similarity Solution Viscoelastic Fluid
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