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Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms - Tobias Häcker
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Tobias Häcker:

Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms - neues Buch

ISBN: 9783832289522

[ED: Buch], [PU: Shaker Verlag], Neuware - The gravity-driven free surface flow of a viscous liquid down an inclined plane has various engineering applications, for instance in cooling and coating processes. However, in many applications the bottom is not flat but has a wavy profile. This may be due to natural irregularities or by design, e.g., to increase the contact area in heat conductors. Thus, studying the stability of stationary solutions over wavy inclines is of great interest. If perturbations of the free surface decay to zero, we call the stationary solution stable, otherwise unstable. From linear analysis it is well known that stability is mainly determined by the dimensionless Reynolds number R, which is a measure for the ratio of inertial forces to viscous forces. More precisely, there exists a critical Reynolds number Rcrit depending on the bottom waviness and the inclination angle such that the free surface becomes unstable for R Rcrit. In this thesis, we first derive model equations for the evolution of the film thickness F and the local flow rate Q. In case of a thin film over a weakly undulated bottom, we can introduce a small perturbation parameter which allows to solve the underlying Navier- Stokes equations by an asymptotic expansion approach. Using this solution as ansatz and test function in a Galerkin method for the downstream momentum equation, we obtain a system of parabolic partial differential equations for F and Q. According to the used methods, this is called weighted residual integral boundary layer (WRIBL) equation., [SC: 0.00], Neuware, gewerbliches Angebot, 21x14.8x cm, [GW: 206g]

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Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms - Tobias Häcker
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)

Tobias Häcker:

Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms - neues Buch

2010, ISBN: 3832289526

ID: 17021812264

[EAN: 9783832289522], Neubuch, [PU: Shaker Verlag Mrz 2010], Neuware - The gravity-driven free surface flow of a viscous liquid down an inclined plane has various engineering applications, for instance in cooling and coating processes. However, in many applications the bottom is not flat but has a wavy profile. This may be due to natural irregularities or by design, e.g., to increase the contact area in heat conductors. Thus, studying the stability of stationary solutions over wavy inclines is of great interest. If perturbations of the free surface decay to zero, we call the stationary solution stable, otherwise unstable. From linear analysis it is well known that stability is mainly determined by the dimensionless Reynolds number R, which is a measure for the ratio of inertial forces to viscous forces. More precisely, there exists a critical Reynolds number Rcrit depending on the bottom waviness and the inclination angle such that the free surface becomes unstable for R > Rcrit. In this thesis, we first derive model equations for the evolution of the film thickness F and the local flow rate Q. In case of a thin film over a weakly undulated bottom, we can introduce a small perturbation parameter which allows to solve the underlying Navier- Stokes equations by an asymptotic expansion approach. Using this solution as ansatz and test function in a Galerkin method for the downstream momentum equation, we obtain a system of parabolic partial differential equations for F and Q. According to the used methods, this is called weighted residual integral boundary layer (WRIBL) equation. 137 pp. Englisch

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Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms. - Häcker, Tobias
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Häcker, Tobias:
Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms. - neues Buch

2010

ISBN: 9783832289522

[PU: Aachen : Shaker], VIII, 127 S. : graph. Darst. 21 cm, 206 gr. kart. ISBN 9783832289522, [SC: 2.30], Neuware, gewerbliches Angebot, [GW: 550g], 1. Aufl.

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Häcker, Tobias: Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms
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Häcker, Tobias: Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms - neues Buch

ISBN: 9783832289522

ID: 124784462

Berichte aus der Mathematik Berichte aus der Mathematik Bücher > Wissenschaft > Mathematik, [PU: Shaker Verlag, Aachen]

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Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms - Häcker, Tobias
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Häcker, Tobias:
Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms - neues Buch

ISBN: 9783832289522

[PU: Shaker], [SC: 0.00], Neuware, gewerbliches Angebot

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Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms.
Autor:

Häcker, Tobias

Titel:

Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms.

ISBN-Nummer:

9783832289522

Detailangaben zum Buch - Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms.


EAN (ISBN-13): 9783832289522
ISBN (ISBN-10): 3832289526
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Aachen : Shaker

Buch in der Datenbank seit 29.02.2012 01:08:00
Buch zuletzt gefunden am 09.03.2017 00:17:00
ISBN/EAN: 9783832289522

ISBN - alternative Schreibweisen:
3-8322-8952-6, 978-3-8322-8952-2

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