TITLE:
The Magnetic Field as Trigger for Disturbances of a Flow of a Newtonian Fluid through a Cylindrical Pipe with a Horizontal Axis
AUTHORS:
Ibrahima Kama, Mamadou Lamine Sow, Cheikh Mbow
KEYWORDS:
Newtonian Fluids, Magnetic Field, Linear Stability, Petrov-Galerkin, Generalized Eigenvalue Problem
JOURNAL NAME:
Modern Mechanical Engineering,
Vol.12 No.4,
November
29,
2022
ABSTRACT: A Fourrier 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. It is written in FORTRAN. Systematic studies are presented on the dependence of eigenvalues and other quantities on the axial and azimuthal wave number; the reynolds’ number Re and a new none-dimensional number Ne. The flow will be considered stable if all the real parts of the eigenvalues are negative and unstable if only one of them is positive.