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Title: A study on vortex knots
Researcher: Rajeswari Devi, M B
Guide(s): Jathavedan, M
Keywords: Vortex Knots
Vorticity Stress Tensor
Fluid mechanics
Upload Date: 24-Apr-2012
University: Cochin University of Science and Technology
Completed Date: 29/12/2006
Abstract: In this thesis an attempt is made to study vortex knots based on the work of Keener . It is seen that certain mistakes have been crept in to the details of this paper. We have chosen this study for an investigation as it is the first attempt to study vortex knots. Other works had given attention to this. In chapter 2 we have considered these corrections in detail. In chapter 3 we have tried a simple extension by introducing vorticity in the evolution of vortex knots. In chapter 4 we have introduced a stress tensor related to vorticity. Chapter 5 is the general conclusion.Knot theory is a branch of topology and has been developed as an independent branch of study. It has wide applications and vortex knot is one of them. As pointed out earlier, most of the studies in fluid dynamics exploits the analogy between vorticity and magnetic induction in the case of MHD. But vorticity is more general than magnetic induction and so it is essential to discuss the special properties of vortex knots, independent of MHD flows. This is what is being done in this thesis.
Pagination: vii, 114p.
Appears in Departments:Department of Mathematics

Files in This Item:
File Description SizeFormat 
01_title.pdfAttached File14.36 kBAdobe PDFView/Open
02_certificate.pdf21.4 kBAdobe PDFView/Open
03_declaration.pdf17.54 kBAdobe PDFView/Open
04_acknowledgements.pdf29.78 kBAdobe PDFView/Open
05_dedication.pdf11.51 kBAdobe PDFView/Open
06_contents.pdf26.97 kBAdobe PDFView/Open
07_chapter 1.pdf428.29 kBAdobe PDFView/Open
08_chapter 2.pdf498.1 kBAdobe PDFView/Open
09_chapter 3.pdf568.09 kBAdobe PDFView/Open
10_chapter 4.pdf102.53 kBAdobe PDFView/Open
11_chapter 5.pdf112.79 kBAdobe PDFView/Open
12_bibliography.pdf295.82 kBAdobe PDFView/Open

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