Theses and Dissertations - UTB/UTPA
Date of Award
7-2010
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
First Advisor
Dr. Daniel N. Riahi
Second Advisor
Dr. Paul Bracken
Third Advisor
Dr. Barnabas Bede
Abstract
We investigate the problem of spatial (S), combined spatial and temporal (CST), and non-linear temporal instability (NLT) of electrically driven viscous jets with finite electrical conductivity and in the presence of either a constant or a variable applied electric field. A mathematical model, which is developed and used for the spatially growing disturbances in electrically driven jet flows, leads to a lengthy equation for the unknown growth rate and frequency of the disturbances. This equation is solved numerically using Newton‟s Method. For neutral temporal stability boundary, we find, in particular, two new spatial modes of instability under certain conditions. One of these modes is enhanced by the strength of the applied field, while the other mode decays with increasing. The growth rates of both modes increase mostly with decreasing the axial wavelength of the disturbances. For the case of variable applied field, we found the growth rates of the spatial instability modes to be higher than the corresponding ones for constant applied field, provided is not too small. The cases for CST and NLT instabilities are also presented in this investigation and the importance of such cases willbe discussed.
Granting Institution
University of Texas-Pan American
Comments
Copyright 2010 Saulo I. Orizaga. All Rights Reserved.
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