%0 Journal Article
%T Effects of the Reynolds and WeissenbergĄ¯s Numbers on the Stability of Linear Pipe Flow of Viscous Fluid
%A Ibrahima Kama
%A Mamadou Lamine Sow
%A Kodjo Kpode
%A Cheikh Mbow
%J Modern Mechanical Engineering
%P 264-277
%@ 2164-0181
%D 2018
%I Scientific Research Publishing
%R 10.4236/mme.2018.84018
%X 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-oldsĄ¯ number
of up to 10<sup>7</sup> and the WeissenbergĄ¯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.
%K Viscoelastic Fluids
%K Oldroyd-B Model
%K Linear Stability
%K Petrov-Galerkin
%K Generalized Eigenvalue Problem
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=88903