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The Magnetic Field as Trigger for Disturbances of a Flow of a Newtonian Fluid through a Cylindrical Pipe with a Horizontal Axis
Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal
Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal
Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal
- 1 Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal
- 2 Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal
- 3 Department of Physics, University Cheikh Anta Diop (UCAD), Dakar, Senegal
Modern Mechanical Engineering·Volume 12 (2022)·Pages 83–97·Published 29 November 2022·DOI10.4236/mme.2022.124006
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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.
KeywordsNewtonian FluidsMagnetic FieldLinear StabilityPetrov-GalerkinGeneralized Eigenvalue Problem
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