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EFFECTS OF THE REYNOLDS AND WEISSENBERG’S NUMBERS ON THE STABILITY OF LINEAR PIPE FLOW OF VISCOUS FLUID

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.


Auteur(s) : Ibrahima Kama ; Mamadou Lamine Sow ; Kodjo Kpode ; Cheikh Mbow
Pages : pp. 264 à 277
Année de publication : 2018
Revue : MODERN MECHANICAL ENGINEERING
N° de volume : 2018, 8, 264-277
Type : Article
Mise en ligne par : SOW Mamadou Lamine