Authors : Ibrahima Kama; Fadel Diop; Alpha Malick Ndiaye; Fallou Sarr; Cheikh Mbow

Volume/Issue : Volume 11 - 2026, Issue 9 - September

Google Scholar : https://tinyurl.com/mr8p3u3h

DOI : https://doi.org/10.38124/ijisrt/26sep092

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.

Abstract : In this article, we study the stability of the Poiseuille flow of a weakly viscoelastic diamagnetic fluid through a horizontally oriented cylindrical pipe. The pipe in question is traversed by a longitudinal surface current density. The problem obtained is an eigenvalue problem which we will attempt to solve using the Q-Z algorithm. 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 and is written in PYTHON. The study will be conducted by manipulating certain flow parameters, such as the dimensionless numbers or the delay parameter . The flow is considered unstable if when the real part of at least on of the eigenvalues is positive, and stable otherwise.

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