Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Numerical approximation of the spectra of Poiseuille flow of two Phan-Thien Tanner liquids

A.S. Palmer*, T.N. Phillips
School of Mathematics, Cardiff University, Cardiff CF24 4YH, UK

  Full Text
The eigenspectrum for the planar Poiseuille flow of two immiscible Phan-Thien Tanner liquids is studied. The numerical method is to discretise spectrally employing the Chebyshev-tau method and the full set of eigenvalues are determined by the QZ-algorithm. The effects of variations in the fluid parameters are investigated and comparisons are made between the two-fluid and single fluid cases. The flow is found to be stable for the ranges of parameters investigated so far.

Keywords:  Phan-Thien Tanner liquids; Visco-elastic liquids; Poiseuille flow; Two-layer flow; Chebyshev; Eigenspectrum; Linear stability analysis

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