Theses and Dissertations - UTB/UTPA
Date of Award
8-2011
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
First Advisor
Dr. Daniel N. Riahi
Second Advisor
Dr. Dambaru Bhatta
Third Advisor
Dr. Paul Bracken
Abstract
We investigate the problem of instability of electrically forced axisymmetric jets with respect to temporally and spatially growing disturbances, within parameter regimes that affects the process of electrospinnning. Deriving a dispersion relation based on the relevant approximated versions of the equations of the electro-hydrodynamics for an electrically forced jet flow. For temporal instability, we find in the non-zero basic state velocity, the growth rate of the unstable mode is unaffected by the value of the basic state velocity. But, the basic state velocity affects the period of the unstable mode in the sense that it decreases the period, and the rate of increase of the frequency with respect to axial wave number increases with the basic state velocity. For spatial instability, we find that the growth rate of the unstable mode is dominated by the basic state velocity. The basic state velocity also affects the period of the unstable mode.
Granting Institution
University of Texas-Pan American
Comments
Copyright 2011 Sayantan Das. All Rights Reserved.
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