The Magnetic Field as Trigger for Disturbances of a Flow of a Newtonian Fluid through a Cylindrical Pipe with a Horizontal Axis  

作　　者：Ibrahima Kama Mamadou Lamine Sow Cheikh Mbow Ibrahima Kama;Mamadou Lamine Sow;Cheikh Mbow(Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal)

机构地区：[1]Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal

出　　处：《Modern Mechanical Engineering》2022年第4期83-97,共15页现代机械工程（英文）

摘　　要：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.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.

关 键 词：Newtonian Fluids Magnetic Field Linear Stability PETROV-GALERKIN Generalized Eigenvalue Problem 

分 类 号：O35[理学—流体力学]