International Journal of Composite Materials and Matrices

ISSN: 2582-435X

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ijcmm maintains an Editorial Board of practicing researchers from around the world, to ensure manuscripts are handled by editors who are experts in the field of study.

Open Access
Special Issue

An elastic Taylor-Couette flow instability

Abstract Submission Deadline : November 30, 2023

Manuscript Submission Deadline : December 25, 2023

Special Issue Description

The Taylor-Couette flow of dilute polymer solutions is found to exhibit a non-inertial (zero Taylor number) viscoelastic instability. When the Deborah number exceeds f(S) 12, as determined by a linear stability study of the inertialess flow of an Oldroyd-B fluid (using both approximate Galerkin analysis and numerical solution of the related small-gap eigenvalue issue), an overstable (oscillating) mode develops. Here, f(S) is a function of the ratio of the solvent to polymer contributions to the solution viscosity. Studies using a 1000 ppm high-molecular-weight polyisobutylene solution in a viscous solvent reveal the onset of secondary toroidal cells at a Deborah number De of 20, for of 0.14 and a Taylor number of 106, which is in perfect agreement with the theoretical value of 21. By this idea, it has been observed that the critical De grows as it declines. Long after the instability starts, the cells shrink in wavelength in comparison to those that appear in the inertial instability, which is again under our linear analysis. Similar instability has been reported to happen for this fluid in cone-and-plate flow. A velocity variation and the initial normal stress difference in the base state interact to cause these instabilities, which operate as a driving force. Many rotational shearing flows of viscoelastic fluids may experience the instabilities that we report here.


Viscoelastic fluids, Velocity, Polyisobutylene, Wavelength, Cells, Polymer , Toroidal cells, Ratio, Viscoelastic fluids

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