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Chemical Engineering

University of Tennessee, Knoxville

2013

Elastic and Thermo-elastic instability; dilute polymer solutions; FENE-P; Taylor-Couette flow; gap ratio; thermal sensitivity

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The Onset Of Purely Elastic And Thermo-Elastic Instabilities In The Taylor-Couette Flow: Influence Of Gap Ratio And Fluid Thermal Sensitivity, Mohammadreza Ghanbari Dec 2013

The Onset Of Purely Elastic And Thermo-Elastic Instabilities In The Taylor-Couette Flow: Influence Of Gap Ratio And Fluid Thermal Sensitivity, Mohammadreza Ghanbari

Masters Theses

Linear stability analysis of Taylor-Couette flow of dilute polymeric solutions has been performed by using two prototypical constitutive equations for polymeric solutions namely, the Oldroyd-B and the FENE-P models. The hydrodynamic stability characteristics of the flow in presence and absence of thermal effects and in the limit of vanishing fluid inertia have been determined using an eigenvalue analysis. Particular attention has been paid to accurate determination of the instability onset conditions as a function of fluid thermal sensitivity and gap ratio. We observe a reduction in the critical Deborah, Dec for the instability onset as the gap ratio and fluid …