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01-06-2015 | Issue 6/2015

Meccanica 6/2015

Taylor–Couette instability of thixotropic fluids

Journal:
Meccanica > Issue 6/2015
Authors:
Mohammad Pourjafar, Emad Chaparian, Kayvan Sadeghy

Abstract

Taylor–Couette instability of thixotropic fluids obeying Moore model is numerically investigated for the case in which the inner cylinder is rotating and the outer cylinder is fixed. A linear temporal stability analysis is invoked in which infinitesimally-small perturbations, represented by normal modes, are superimposed to the base flow and their time evolution is followed in order to detect the onset of instability. An eigenvalue problem is obtained which is solved numerically using finite-difference scheme coupled with the “polyeig” function of the Matlab software. The neutral instability curve is plotted as a function of the thixotropic parameters of the Moore model for a broad range of parameters. Based on the results obtained in this work, it is concluded that the viscosity ratio in the Moore model has a destabilizing effect on circular Couette flow. On the other hand, an increase in the breakdown-to-buildup ratio in the Moore model is predicted to have a stabilizing or destabilizing effect on circular Couette flow depending on the gap size and also the magnitude of the thixotropy ratio.

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