Volume 8, Issue 1, September 2014, Pages 364–371
M. Riahi1, S. Aniss2, M. T. Ouazzani3, and S. Skali Lami4
1 University of Hassan II, Faculty of Sciences Aïn-Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
2 University of Hassan II, Faculty of Sciences Aïn-Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
3 University of Hassan II, Faculty of Sciences Aïn-Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
4 University of Lorraine, Lemta-UMR CNRS 7563-Ensem, 2 avenue de la Forêt de Haye, BP 160, Vandoeuvre les Nancy, 54504, France
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this work, the linear stability analysis of a pulsed Taylor-Couette flow is investigated in the case of a linear Maxwell fluid when both cylinders are subjected to an out-of phase modulation with equal modulation amplitude and equal modulation frequency. The linear problem is solved using the Floquet theory and a technique of converting a boundary value problem to an initial value problem. Attention is focused on the influence of elasticity on the critical parameters corresponding to the onset of instability. The numerical results show that the Deborah number has a destabilizing effect in the high frequency limit and the critical parameters are independent on the frequency number. However, in the low frequency limit the Maxwell fluid behaves as a Newtonian one and no effect of Deborah number is observed.
Author Keywords: Linear stability, Pulsed Taylor-Couette flow, Maxwell fluid, Floquet theory.
M. Riahi1, S. Aniss2, M. T. Ouazzani3, and S. Skali Lami4
1 University of Hassan II, Faculty of Sciences Aïn-Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
2 University of Hassan II, Faculty of Sciences Aïn-Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
3 University of Hassan II, Faculty of Sciences Aïn-Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
4 University of Lorraine, Lemta-UMR CNRS 7563-Ensem, 2 avenue de la Forêt de Haye, BP 160, Vandoeuvre les Nancy, 54504, France
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this work, the linear stability analysis of a pulsed Taylor-Couette flow is investigated in the case of a linear Maxwell fluid when both cylinders are subjected to an out-of phase modulation with equal modulation amplitude and equal modulation frequency. The linear problem is solved using the Floquet theory and a technique of converting a boundary value problem to an initial value problem. Attention is focused on the influence of elasticity on the critical parameters corresponding to the onset of instability. The numerical results show that the Deborah number has a destabilizing effect in the high frequency limit and the critical parameters are independent on the frequency number. However, in the low frequency limit the Maxwell fluid behaves as a Newtonian one and no effect of Deborah number is observed.
Author Keywords: Linear stability, Pulsed Taylor-Couette flow, Maxwell fluid, Floquet theory.
How to Cite this Article
M. Riahi, S. Aniss, M. T. Ouazzani, and S. Skali Lami, “Linear stability analysis of Taylor-Couette flow in a viscoelastic fluid under out-of phase modulation,” International Journal of Innovation and Applied Studies, vol. 8, no. 1, pp. 364–371, September 2014.
