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Showing 1 to 20 of 34 for “"Hydrodynamic Equations"”.
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Stochastic hypodissipative hydrodynamic equations: well-posedness, stationary solutions and ergodicity
… and long-time behaviours of stochastic equations from fluid dynamics. More precisely, we consider the following topics:<br /> 1. We study the well-posedness of both deterministic and anisotropic 2D Navier–Stokes equations. For the deterministic case, we prove the global well-posedness of …
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On Superposability and Self-Superposability Conditions for Hydrodynamic Equations Based On Continuum
Made available in DSpace on 2014-12-05T20:34:20Z (GMT). No. of bitstreams: 1 0018139.pdf: 5161692 bytes, checksum: dec167a60d8fb1a629bc959ad0b580c3 (MD5) Previous issue date: 1956
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Studies on the hydrodynamic equations based on the theory of diffusive volume transport
… heat or mass. In such cases, the Navier-Stokes equations are unable to correctly predict the continuum fields and observed flow phenomena. A new set of continuum equations has been postulated to take into account density inhomogeneities in the fluid, and the consequent difference between the …
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Superfluid neutron star dynamics, mutual friction and turbulence
… neutrons. We derive a set of multi-constituent hydrodynamic equations that allows for a mutual friction between the constituents. We show that when a velocity difference exists between the two constituents the momentum of each constituent is modified by an entrainment parameter. Throughout all …
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Turbulence Modelling of Tidal Currents in Rectangular Harbours
… of the depth- and layer-integrated Reynolds equations. As most flows in practice are always turbulent, it is necessary to try and model the turbulence as accurately as possible. Various turbulence models including the mixing length, k-s and algebraic stress turbulence models all adopting a …
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n.m.r. Studies of Supercooled Viscous Fluids and Silica Gels (Nmr)
… the supercooled state. The applicability of the hydrodynamic equations to high viscosity systems is investigated at a molecular level in a series of selectively deuterated compounds of varying molecular symmetry and structure. Pressure is used as an experimental variable to extend the range of …
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Large Deviations and Higher Order Fluctuation Expansions for Conservative Stochastic PDEs
… introduce what is known as fluctuating hydrodynamics. This thesis is dedicated to investigating large deviations and higher order fluctuation expansions for conservative stochastic partial differential equations arising from fluctuating hydrodynamics. In particular, the thesis is divided …
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HYDRODYNAMIC AND BALLISTIC TRANSPORT IN ULTRA-CLEAN 2D ELECTRON SYSTEMS
This work is broadly on hydrodynamic transport in mesoscopic systems, resulting from strong electron-electron interactions. In the first part, we consider electrons are in near thermal equilibrium with each other, and for which case we calculate conductance by solving hydrodynamic equations. We do …
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Binary mixtures of rod-like colloids
… under shear. As a result, we obtain a set of hydrodynamic equations which take into account the competition between flow-induced effects on the alignment and the relaxation of the entire system towards equilibrium. Based on these hydrodynamic equations we turn to the study of shear induced …
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Study of Ultracold Fermi Gases in the BCS-BEC Crossover: Quantum Monte Carlo Methods, Hydrodynamics and Local Density Approximation.
… physics, the solution of the quantum mechanic equations governing the state of these systems is not always simple. For the static properties usually mean-field solutions exist or perturbative expansions can be produced in some regimes. However Quantum Monte Carlo (QMC) techniques provide more …
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An Implicit Finite-Volume Depth-Integrated Model For Coastal Hydrodynamics And Multiple-Sized Sediment Transport
… model is developed for simulating wave-averaged hydrodynamics and nonuniform sediment transport and morphology change in coastal waters. The hydrodynamic model includes advection, wave-enhanced turbulent mixing and bottom friction; wave-induced volume flux; wind, atmospheric pressure, wave, …
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Universal quantum viscosity in a unitary Fermi gas.
… than equilibrium thermodynamic quantities. Two hydrodynamic experiments are employed to measure the shear viscosityηin different temperature regimes: an isotropic expansion is used for the high temperature regime and radial breathing mode is employed for the low temperature regime. In order to …
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Learning and investigating phenomenological models for active matter
… the recovery of underlying partial differential equations (PDEs) from continuum simulation data. Motivated by these advancements, in this thesis we analytically and numerically investigate phenomenological models in the context of active fluids, and subsequently leverage recent model learning …
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A study of magnetoplasmadynamic effects in turbulent supersonic flows with application to detonation and explosion
… in a magnetized medium. While the magnetohydrodynamic (MHD) equations share many of the mathematical characteristics of the hydrodynamic equations, numerical methods developed for the conservation equations of a magnetized plasma are complicated by the requirement that the magnetic field …
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Critical Phenomena in Gravitational Collapses of Neutron Star Systems
… based on numerical solutions of the Einstein equations. We discovered that stellar objects with large kinetic energy described by an equation of state: EOS) commonly used in describing neutron star matter may undergo critical collapses. To the best of our knowledge, this is the first study …
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Propagation of premixed flames in confined channels
… solution. This model requires only solving the hydrodynamic equations along with the Hugoniot jump relations across the flame front. The main difference between the numerical and the analytical solution is that the numerical solution takes into consideration a finite rate chemistry whereas in …
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Theoretical methods for the study of quantum dynamics
… has been introduced to stably solve Bohm’s hydrodynamic equations of motion in the forward-backward quantum dynamics (FBQD) formulation of time correlation functions, and applied to one-dimensional bound systems at zero and low temperature. A key step in the formulation of this procedure was …
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Dynamics of Pitching Wave Energy Converter with Resonant U-Tank Power Extraction Device
… Lloyd's low order model, which assumes constant hydrodynamic parameters irrespective of the frequency, are demonstrated by a series of high fidelity CFD simulations. These simulations are a systematic series of fully viscous turbulent simulations, using unsteady RANSE solvers, of the water …
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The stabilization and extinction of a microjet diffusion flame
… Constant density approximation decouples the hydrodynamic equations from the full system of governing equations. The flow field is described by an exact solution to the Navier-Stokes and continuity equations modeling an axis-symmetric jet issuing from a point source of momentum into an …
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Dynamics and stability of gravity-capillary solitary waves
… using numerical techniques to solve the full hydrodynamic equations in steady form. A dramatic difference is found between the linear stability of free and forced waves in both weakly and fully nonlinear cases, and results obtained here are compared with laboratory experiments.
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