Cylindrical COUETTE-flow for non-newtonian fluids
The non-newtonian properties of a polymer solution are a consequence of the deformability of the polymer molecules. The constitutive equation which models the viscoelastic behaviour of this non-newtonian liquid, was derived on thermodynamic grounds by LHUILLIER and OUIBRAHIM . The resulting equations were recently solved by ROESNER  for the COUETTE-flow problem and the steady state velocity field was fully obtained analytically. Here it is used as a basic solution for a linear stability analysis. Preliminary results concerning the influence of polymer molecules on the onset of TAYLOR-GÖRTLER vortices are discussed.
KeywordsSteady State Velocity Newtonian Case Dilute Polymer Solution Basic Velocity Normal Stress Coefficient
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