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Analysis of Elastic Filaments Conveying a Fluid and a Numerical Study: Weakly Nonlinear Analysis of Elastic Filaments Conveying a Fluid and Numerical Approximations to the Static Kirhhoff Equations - Couverture souple

Beauregard, Matthew

 
9783639336214: Analysis of Elastic Filaments Conveying a Fluid and a Numerical Study: Weakly Nonlinear Analysis of Elastic Filaments Conveying a Fluid and Numerical Approximations to the Static Kirhhoff Equations
Couverture souple
ISBN 10 : 3639336216 ISBN 13 : 9783639336214
Editeur : VDM Verlag Dr. Müller, 2011

Synopsis

Two problems in the study of elastic filaments are considered. First, a reliable numerical algorithm is developed that can determine the shape of a static elastic rod under a variety of conditions. In this algorithm the governing equations are written entirely in terms of local coordinates and are discretized using finite differences. The algorithm is seen to have significant advantages. In the second problem a model is presented describing the dynamics of an elastic tube conveying a fluid. A study into the effect of the fluid on the twist-to- writhe instability is given. A linear stability analysis demonstrates that for an infinite rod the twist-to-writhe threshold is lowered by the presence of a fluid flow. It is shown that for finite length tubes the bifurcation threshold depends delicately on the length of the tube and that it can be either raised or lowered relative to the fluid-free case.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Two problems in the study of elastic filaments are considered. First, a reliable numerical algorithm is developed that can determine the shape of a static elastic rod under a variety of conditions. In this algorithm the governing equations are written entirely in terms of local coordinates and are discretized using finite differences. The algorithm is seen to have significant advantages. In the second problem a model is presented describing the dynamics of an elastic tube conveying a fluid. A study into the effect of the fluid on the twist-to- writhe instability is given. A linear stability analysis demonstrates that for an infinite rod the twist-to-writhe threshold is lowered by the presence of a fluid flow. It is shown that for finite length tubes the bifurcation threshold depends delicately on the length of the tube and that it can be either raised or lowered relative to the fluid-free case.

Biographie de l'auteur

Dr. Beauregard earned his doctorate in Applied Mathematics minoring in Aerospace and Mechanical Engineering in the Program in Applied Mathematics at the University of Arizona. He has held academic positions at the University of Arizona, Kaplan University, and Baylor University. His interests are in numerical pdes and elasticity theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2011
Langue
anglais
ISBN 10 
3639336216
ISBN 13 
9783639336214
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
Personne responsable
non disponible