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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 20 of 34 for “"asymptotic solutions"”.
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Accuracy Tests for High Frequency Asymptotic Solutions
Made available in DSpace on 2014-12-12T20:55:10Z (GMT). No. of bitstreams: 1 8009194.pdf: 2620690 bytes, checksum: 128b32261fa38976caa83aa6fe7cb97a (MD5) Previous issue date: 1979
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Asymptotic solutions of a circular plate problem
… regions of the plate. The theory of ''Matched Asymptotic Expansions" is utilized here in order to evaluate certain constants of integration which remain undetermined after exhausting the boundary conditions on the problem. Two and, in one case, three terms of the expansions are found in closed …
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Uniformly valid asymptotic solutions of the Orr-Sommerfeld equation and their application to plane Poiseuille flow
Thesis: M.S., Massachusetts Institute of Technology, Department of Mathematics, 1961
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Some problems of quantum cosmology and dark matter physics
… we have a condition of chaotic inflation. Our asymptotic solutions agree with those obtained from the classical Einstein equations.
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Approximate solutions to the wave equation for a medium with one discontinuity
… wave equation and shows that there are asymptotic solutions for certain pulses in the high-frequency limit. These pulses are shown to propagate along rays predicted by geometrical optics. The solutions are computed up to an error which approaches zero as the pulse approaches the particle …
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Propagation Of Sound In The Vicinity Of Rigid Porous Interfaces
… above and below a rigid porous interface. The solutions can be expressed in a form that resembles the classical Weyl-Van der Pol formula. A heuristic method is then proposed to remove the singularity within the asymptotic solution via application of the double saddle-point method. Its relative …
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The capillary interaction between objects at liquid interfaces
… to solve analytically, and only approximate solutions exist for most of the interesting cases. We develop a new numerical solution to determine the shape of a liquid interface in the vicinity of multiple solid objects using the hp–Meshless Cloud method, which is a meshfree finite difference …
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The development of nonlinear surface and internal wave groups
… behavior, using the phase evolution of exact asymptotic solutions as a guide. The wave groups exhibited a long-time coherence but not the recurrence predicted by the inviscid theory. An oceanic field study of the generation of groups of large amplitude internal waves by stratified tidal flow …
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Ultrasonic circumferential waves in empty and water-filled tubes
… by solving the wave equations numerically. Asymptotic solutions are also given for the SH-like modes. Various technologies are applied for generating and detecting the circumferential waves. In particular, a new approach is developed for experimental determination of the dispersion of the …
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An investigation of the effects of curvatures on natural vibration characteristics of curved beams and plates
… due to the change of curvatures. Based on the asymptotic solutions, the singly curved plate is analyzed by using the Rayleigh- Ritz method. The analysis is further developed to the laminated composite<br/>ii<br/>curved beam. Examples present extra characteristics brought by the composite …
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Asymptotic analysis of vibrations of thin cylindrical shells
An algorithm for the asymptotic solution of boundary value problems involving vibrations of thin cylindrical shells by means of symbolic computation is presented. The algorithm is based on the method of asymptotic integration of the vibration equations of thin shells, developed by Goldenveizer, …
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Mathematical modelling of droplet evaporation
… is strong. Specifically, we obtain closed form asymptotic solutions for the evolution of the droplet when the substrate has a high thermal resistance relative to the droplet, and when the saturation concentration of the vapour depends strongly on temperature.;Finally, we develop a model for the …
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Coalescence of bubbles and drops
… this thesis, I will find multi-scale theoretical solutions for the singular flows during the initial stages of the coalescence of bubbles and drops, solving for the velocity field in the fluid and the rate of coalescence. Each solution has several lengthscales, and on each lengthscale, we must …
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A theoretical investigation of an averaged-structure eddy viscosity model applied to turbulent shear flows
… with the aid of Integral Transform methods and asymptotic expansions. With the appropriate numerical values for the model constants, the approximate asymptotic solutions for the mean velocities are found in good agreement with the universal laws and with the experimental data. To test the model …
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A numerical study on the propagation and interaction of strongly nonlinear solitary waves
… is investigated numerically and the numerical solutions are compared with weakly nonlinear asymptotic solutions. In particular, the effects of strong nonlinearity as well as background shear are examined. We also derive a model for strongly nonlinear long waves in uniform shear flow interacting …
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Modelling the Endothelial Glycocalyx Layer
… a charge effect into a mathematical model. The asymptotic solutions obtained enable us to investigate some of the important physical phenomena inherent in electroviscous ow in porous media. The results facilitate construction of a numerical technique that allows to simulate a two-dimensional ow …
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An Analytical Asymptotic Solution Method of the Euler Equations for Efficient Flow Analysis and Aerodynamic Design
… design tool was developed based on analytical asymptotic solutions of the Euler equations. The solution algorithm uses an analytical asymptotic formulation in the streamline coordinate system, wherein the governing equations are transformed into a non-homogeneous Cauchy-Riemann system. A …
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Heat Transfer Due to Particle-Wall Collisions in Suspension Flows
… induced convection were successfully separated. Asymptotic solutions were used to insure numerical accuracy when the particle is near the surface. Computational expedience led to the use of a transient conduction thermal layer as the background thermal field for the analysis. The results showed …
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Free surface flow over bottom topography
… For large amplitude negative Gaussian forcing, asymptotic solutions are constructed using boundary layer theory; one point of interest here is an internal layer away from the origin which mediates a change from exponential decay away from the central dip to algebraic decay in the far-field. …
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Two and three-dimensional incompressible and compressible viscous fluctuations
… is investigated first for each particular area. Asymptotic solutions are then provided based on the assumption of small amplitude and small frequency of oscillation. Systems of general differential equations in a single variable are obtained and solved numerically by the shooting technique. A …
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