+612 9045 4394
 
CHECKOUT
Pattern Formation in Viscous Flows : The Taylor-Couette Problem and Rayleigh-Benard Convection :  The Taylor-Couette Problem and Rayleigh-Benard Convection - Rita Meyer-Spasche

Pattern Formation in Viscous Flows : The Taylor-Couette Problem and Rayleigh-Benard Convection

The Taylor-Couette Problem and Rayleigh-Benard Convection

Paperback

Published: April 1999
Ships: 5 to 9 business days
5 to 9 business days
$204.16
or 4 easy payments of $51.04 with Learn more

The Taylor-Couette system is one of the most studied examples of fluid flow exhibiting the spontaneous formation of dynamical structures. In this book the variety of time independent solutions with periodic spatial structure is numerically investigated by solution of the Navier-Stokes equations. Topics and questions addressed are: Mathematical modeling. Numerical modeling. What kinds of flow patterns do the equations allow in the nonlinear regime? How many solutions exist for given values of the control parameters? Are they stable? How do spatial patterns and the number of solutions vary with the parameters? For some parameter values many more solutions were found than previously expected (up to 21), in other parameter regimes not even those solutions could be found whose ecistence had been taken for granted. These "experimental" numerical results led to conjectures on the global strcuture of secondary bifurcations in the Taylor system and thus to possible explanations for existence and non-existence of solutions. These conjectures were verified and generalized for the mathematically closely related equations of Rayleigh-B??nard convection, and they were numerically confirmed for the Taylor system. .

The Taylor Experiment
Details of a Numerical Method
Stationary Taylor Vortex Flows
Secondary Bifurcations on Convection Rolls
Bibliography
Index
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764360474
ISBN-10: 376436047X
Series: International Series of Numerical Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 212
Published: April 1999
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 24.41 x 16.99  x 1.22
Weight (kg): 0.37
Edition Number: 2