Nonlinear Analysis of Rigid Body-viscous Flow Interaction [microform] PDF Download

Author: Pareshkumar Gordhandas Pattani
Publisher: National Library of Canada
ISBN:
Category : Viscous flow
Languages : en
Pages : 252

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Book Description

Author: Shashi Moorty
Publisher:
ISBN:
Category : Viscous flow
Languages : en
Pages : 252

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Book Description

Author: Ivan Aleksandrovich Lukovskiĭ
Publisher: ISSN
ISBN: 9783110316551
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities partly filled by liquid. It combines several methods and compares the results with experimental data. It is useful for experienced and early-stage readers interested in analytical approaches to fluid-structure interaction problems, the fundamental mathematical background and modeling the dynamics of such complex mechanical systems.

Author: Alric P. Rothmayer
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 196

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Author: Gaston Vergara
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
This PhD dissertation deals with the study of some fluid-structure interaction models in shallow water regimes. Particularly, the manuscript brings contributions on interactions between a fluid with fixed and floating rigid bodies. In a first part, we start by studying the mathematical modelling and simulations of an oscillating water column. In this device, the waves come from shore, find a bottom step, and then reach a chamber to change the air volume to drive a turbine to produce electricity. In this first approach, constant atmospheric pressure is assumed on the free surface of the fluid inside the chamber. Waves governed by the one-dimensional shallow water equations in the presence of this device are essentially reformulated as two transmission problems: the first one is associated with a step in front of the structure, and the second one is related to the wave structure interaction. On the other hand, by considering the notion of Riemann invariants to obtain the discretized version of the transmission conditions, we implement the Lax-Friedrichs scheme to get numerical solutions of the model. Furthermore, by using the concept of nodal profile controllability, we address the problem of boundary controllability for the introduced model. Finally, we close the first part of the thesis by proposing a second nonlinear model of an oscillating water column device involving a transmission condition that describes a time-dependent air pressure flow inside the chamber, which is obtained by considering the free surface Bernoulli's equation and properties relative to the shallow water regime. In a second part of the manuscript, we study some models describing the vertical motion of a solid floating at the free surface of a viscous shallow fluid. The rigid structure involved is assumed to be controlled by a vertical force exerted via an actuator. We start by proving the well-posedness of the model, which is obtained by considering adequate function spaces and convenient operators between them. Furthermore, by obtaining an explicit form of the transfer function associated, we prove some results on the input-output stability of the system. Finally, we study a Cummins type integro-differential equation describing the motion of a partially immersed structure floating in a viscous fluid in an unbounded domain. Relying on the stability results of Matignon for fractional systems, the explicit solutions of the system are established, leading to an explicit knowledge of the long-time behaviour of them.

Author: Omar Ghattas
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 15

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Book Description

Author: Kuppalapalle Vajravelu
Publisher: Springer
ISBN: 9783642541766
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.

Author: Ivan Aleksandrovich Lukovskiĭ
Publisher:
ISBN: 9781523104642
Category : Dynamics
Languages : en
Pages :

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Author: Amgad Elgowainy
Publisher:
ISBN:
Category :
Languages : en
Pages : 288

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Book Description

Author: Sungyul Yoo
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 0

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Book Description
A viscous inviscid interaction method for three dimensional flows, in which the partially parabolic Reynolds equations are coupled with an inviscid flow solution procedure in an interactive and iterative manner, is applied to two simple three dimensional bodies for which experimental data are available for comparison. The relative merits of interactive and global solution procedures are evaluation by comparing the viscous inviscid interaction solutions with noninteractive large domain solutions of only the viscous flow equations. Both methods yield satisfactory results, although the interaction solutions are found to be computationally more efficient for the cases considered. Keywords: Thick Three Dimensional Layer; Viscous Inviscid Interaction; Partially parabolic Equations; Computational Fluid Dynamics.