A
Fourier-Chebyshev Petrov-Galerkin spectral method is described for high
accuracy computation of linearized dynamics for flow in a circular pipe. The
code used here is based on solenoidal velocity variables and is written in
FORTRAN. Systematic studies are presented of the dependence of eigenval-ues and
other quantities on the axial and azimuthal wave numbers; the Reyn-olds’ number
of up to 107 and the Weissenberg’s number that is considered lower here. The
flow will be considered stable if all the real parts of the ei-genvalues
obtained are negative and unstable if only one of these values is positive.
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