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 “"asymptotic matching"”.
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An Analysis of the Turbulent Dispersion of Concentrations of Non-Stokesian Particles (Transport, Low Reynolds Number, Uniform Distributions)
… Reynolds number is sufficiently large that the asymptotic matching technique used in the theory is valid, the particle diameters are small relative to the macroscale of the turbulence, and the volumetric concentration of particles, (phi), and the particle Reynolds number, Re(,pf), are such that …
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Classical diffusion of a particle in a one dimensional random potential
… of Green’s functions, distribution functions and asymptotic matching to not only analytically re-produce this result, but also the expectation value of the probability distribution and all transport properties for an arbitrary value of drift, which is an original result. For the second half of the …
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Asymptotic approximations for the sound generated by aerofoils in unsteady subsonic flows
… and sound wave perturbations are considered and asymptotic results are obtained for, primarily, the far-field noise. Previous analytic work has examined high-frequency gust-aerofoil interactions in steady uniform flows using rapid distortion theory, and has focused on aerofoils with simple …
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Field-driven dynamics of dilute gases, viscous liquids and polymer chains
… slip boundary condition obtains from the asymptotic matching of the velocity within the microscale layer of fluid adjoining the solid surface, and the velocity in the bulk fluid. In the case of a gas, the microscopic length scale is constituted by the mean free path, and the layer of gas …
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Analysis of approximation and uncertainty in optimization
… performance of greedy algorithms for online matching on random graphs. In online matching problems, vertices arrive sequentially and reveal their neighboring edges. Vertices may be matched upon arrival and matches are irrevocable. We determine asymptotic matching sizes obtained by a variety …
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Coalescence of bubbles and drops
… to solve for the flow on each scale. These asymptotic solutions are valid at early times; future numerical simulations of the subsequent flow could be initialised with these solutions, rather than the actual singularity. In the course of solving for these singular flows, I will also describe …
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Topics in mode conversion theory and the group theoretical foundations of path integrals
… of this local problem then provides a way to asymptotically match the WKB solutions on either side of the mode conversion region. We describe this theory in the context of a pedagogical example; that of a pair of coupled harmonic oscillators undergoing resonant conversion. Lastly, we present …