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31 
A parallel NavierStokes solver for natural convection and free surface flowNorris, S. E. January 2000 (has links)
Thesis (Ph. D.)University of Sydney, 2000. / Title from title screen (viewed Apr. 23, 2008). Submitted in fulfilment of the requirements for the degree of Doctor of Philosophy to the Dept. of Mechanical Engineering, Faculty of Engineering. Includes bibliography. Also available in print form.

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Analysis and finite element approximation of an optimal shape control problem for the steadystate NavierStokes equations /Kim, Hongchul, January 1993 (has links)
Thesis (Ph. D.)Virginia Polytechnic Institute and State University, 1993. / Vita. Abstract. Includes bibliographical references (leaves 139151). Also available via the Internet.

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Development of an incomprehensible NavierStokes solver and its application to the calculation of separated flows /Ok, Honam, January 1993 (has links)
Thesis (Ph. D.)University of Washington, 1993. / Vita. Includes bibliographical references (leaves [106]110).

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An investigation of the steadystate performance of a pressurized air wave journal bearingKuznetov, Alexandru Marius. January 2010 (has links)
Thesis (M.S.)University of Toledo, 2010. / Typescript. "Submitted to the Graduate Faculty as partial fulfillment of the requirements for the Master of Science degree in Mechanical Engineering." "A thesis entitled"at head of title. Title from title page of PDF document. Bibliography: p. 5156.

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Numerical study of solutions to Prandtl equations and NS equations /He, Qiaolin. January 2007 (has links)
Thesis (Ph.D.)Hong Kong University of Science and Technology, 2007. / Includes bibliographical references (leaves 92101). Also available in electronic version.

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On the existence of classical solutions of the linearised NavierStokes equations in domains with moving boundariesStuart, Charles A. January 1970 (has links)
No description available.

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The steady NavierStokes problem for low Reynolds' number viscous jetsChang, Huakang January 1991 (has links)
The classical existence theorem for the steady NavierStokes equations, based on a bound for the solution's Dirichlet integral, provides little qualitative information about the solution.
In particular, if a domain is unbounded, it is not evident that the solution will be unique even when the data are small. Inspired by the works of Odqvist for the interior problem and of Finn for the problem of flow past an obstacle, we give a potential theoretic construction of a solution of the steady NavierStokes equations in several domains with noncompact boundaries. We begin by studying a scalar quasilinear elliptic problem in a half space, which serves as a model problem for the development of some of the methods which are later applied to the NavierStokes equations. Then, we consider NavierStokes flow in a half space, modeling such phenomena as a jet emanating from a wall, with prescribed
boundary values. The solution which is obtained decays like x⁻² at infinity and has a finite Dirichlet integral. Finally, we solve the problem of flow through an aperture in a wall between two half spaces, with a prescribed net flux through the aperture, or with a prescribed pressure drop between the two half spaces. A steady solution is constructed which decays like x⁻² at infinity. For small data, uniqueness is proven within the class of functions which decay like x⁻¹ at infinity and have finite Dirichlet integrals. / Science, Faculty of / Mathematics, Department of / Graduate

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On the incompressible limit of the compressible NavierStokes equations.Lin, ChiKun. January 1992 (has links)
Many interesting problems in classical physics involve the behavior of solutions of nonlinear hyperbolic systems as certain parameter and coefficients becomes infinite. Quite often, the limiting solution (when it exits) satisfies a completely different nonlinear partial differential equation. The incompressible limit of the compressible NavierStokes equations is one physical problem involving dissipation when such a singular limiting process is interesting. In this article we study the timediscretized compressible NavierStokes equation and consider the incompressible limit as the Mach number tends to zero. For γlaw gas, 1 < γ ≤ 2, D ≤ 4, we show that the solutions (ρ(ε), μ(ε)/ε) of the compressible NavierStokes system converge to the solution (1, v) of the incompressible NavierStokes system. Furthermore we also prove that the limit also satisfies the Leray energy inequality.

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Experimental studies of the hypersonic, low density, aerodynamics of reentry vehiclesOwen, Andrew Kevin January 1997 (has links)
No description available.

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Hydrodynamic limits of the NavierStokes equations. / CUHK electronic theses & dissertations collectionJanuary 2008 (has links)
Next, we consider that the fluids are isentropic and the domain is also bounded, smooth, simply connected in R2 . We show that the estimates are uniform in all time if the smallness assumption on the initial data is prescribed. It follows that the solutions of compressible NavierStokes equations converge to the incompressible ones uniformly in both spatial and temporal variables as the Mach number vanishes. / This thesis deals with the low Mach number limit of the compressible NavierStokes equations. It is to verify that the compressible fluids become incompressible as Mach number tends to zero. In another words, the pressure due to compression can be neglected. This is a singular limit. / We will show that, as the Mach number tends to zero, the local smooth solutions of compressible NavierStokes equations with zero thermal conductivity coefficient converge strongly to the solutions of incompressible NavierStokes equations, provided that the initial data satisfy the "bounded derivative conditions". The key point, which is one of our main contributions, is the uniform high norm estimates in Mach number. We will study two cases. The first case is that, the domain is a finite interval and the boundary condition for the velocity is noslip. In the second case, the domain is bounded, smooth, and simply connected in R2 . The boundary condition for the velocity is replaced by the sliptype's, thus the vorticity and the divergence of velocity can be estimated separately. / Ou, Yaobin. / Adviser: Zhouping Xin. / Source: Dissertation Abstracts International, Volume: 7006, Section: B, page: 3546. / Thesis (Ph.D.)Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 107111). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.

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