Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 7 of 7 for “"Self-similar solutions"”.
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Self-similar solutions to the mean curvature flow in Euclidean and Minkowski space
… of this thesis, we give a classification of all self-similar solutions to the curve shortening flow in the Euclidean plane R² and discuss basic properties of the curves. The problem of finding the curves is reduced to the study of a twodimensional system of ODEs with two parameters that determine …
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Applications of light propagation in novel photonic devices
… numerically and experimentally. In particular, self-similar solutions to the nonlinear Schrödinger equation have been investigated as a means of avoiding distortions associated with high power pulse propagation in optical fibres. The results show that it is the interplay between the nonlinear …
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Supersonic self-similar screw-pinch plasma implosions
Self-similar solutions are obtained for the supersonic compression of a plasma containing an axial current and an entrained axial magnetic field (screw-pinch). These solutions represent a complete generalization of previous works done on the Z-pinch and $\Theta$-pinch schemes. The solutions …
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Self similar flows in finite or infinite two dimensional geometries
… is concerned with several problems related to self-similar flows in pulsating channels. Exact or similarity solutions of the Navier-Stokes equations are of practical and theoretical importance in fluid mechanics. The assumption of self-similarity of the solutions is a very attractive one from …
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The Dynamics of Magnetised Warped Discs
… system based upon tilted spheres, a series of self-similar solutions are presented for the global structure of a potential magnetic field beyond a warped disc. Warped discs threaded by a mean magnetic field are investigated numerically and semi-analytically in both a warped shearing box and a …
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Modeling Two-Phase Flow and Heat Transfer in Polygonal Microchannels
… for our design criteria. We have obtained solutions for square, triangular, hexagonal, and rectangular micro heat pipes. In the second problem, we study the motion of long drops in rectangular microchannels at low capillary numbers. As the drop moves it deposits a thin liquid film on the …
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Mixing in axisymmetric gravity currents and volcanic conduits
… into the flow. We then derive a new class of self-similar solutions for gravity currents produced from a finite volume release of fluid. The second part of this thesis develops the experimental method of measuring mixing using light attenuation to investigate the mixing of liquid in a vertical …