Stability and transition in the flow of polymer solutions

Chokshi, Paresh and Kumaran, V (2006) Stability and transition in the flow of polymer solutions. In: 6th IUTAM Symposium on Laminar-Turbulent Transition,, Dec13-17, 2004, Bangalore, India, pp. 349-354.

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Abstract

The linear stability analysis of a plane Couette flow of viscoelastic fluid have been studied with the emphasis on two dimensional disturbances with wave number k similar to Re-1/2, where Re is Reynolds number based on maximum velocity and channel width. We employ three models to represent the dilute polymer solution: the classical Oldroyd-B model, the Oldroyd-B model with artificial diffusivity and the non-homogeneous polymer model. The result of the linear stability analysis is found to be sensitive to the polymer model used. While the plane Couette flow is found to be stable to infinitesimal disturbances for the first two models, the last one exhibits a linear instability.

Item Type:	Conference Paper
Series.:	FLUID MECHANICS AND ITS APPLICATIONS
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Mechanical Sciences > Chemical Engineering
Date Deposited:	26 Aug 2010 06:05
Last Modified:	19 Sep 2010 06:12
URI:	http://eprints.iisc.ac.in/id/eprint/30673

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