Mathematical Models of Convection

Victor K. Andreev; Yuri A. Gaponenko; Olga N. Goncharova; Vladislav V. Pukhnachev

Published by De Gruyter 2012

Mathematical Models of Convection

Victor K. Andreev , Yuri A. Gaponenko , Olga N. Goncharova and Vladislav V. Pukhnachev

Volume 5 in the series De Gruyter Studies in Mathematical Physics

https://doi.org/10.1515/9783110258592

Overview
Contents

About this book

Phenomena of convection are abundant in nature as well as in industry. This volume addresses the subject of convection from the point of view of both, theory and application. While the first three chapters provide a refresher on fluid dynamics and heat transfer theory, the rest of the book describes the modern developments in theory. Thus it brings the reader to the "front" of the modern research.

This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.

Author / Editor information

Victor K. Andreev, Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia; Yuri A. Gaponenko, Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia; Olga N. Goncharova, Altai State University, Barnaul, Russia; and Vladislav V. Pukhnachev, Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia.

Reviews

"This book presents a careful and detailed introduction to the modern mathematical models of convection. […] In the reviewer’s opinion, this book provides a fundamental and comprehensive presentation of the mathematical and physical theory of fluid flows in non-classical models of convection, pointing out the most important practical applications. The book is excellently written and readable. Results of numerical solutions are given graphically and in tabular form. The book will be of great interest to a wide range of specialists working in the area of convection. It can be also recommended as a text for seminars and courses, as well as for independent study." Zentralblatt für Mathematik

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
List of contributing authors Requires Authentication Unlicensed Licensed Download PDF	xi
Contents Requires Authentication Unlicensed Licensed Download PDF	xiii
Chapter 1. Equations of fluid motion Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Conditions on the interface between fluids and on solid walls Requires Authentication Unlicensed Licensed Download PDF	24
Chapter 3. Models of convection of an isothermally incompressible fluid Requires Authentication Unlicensed Licensed Download PDF	44
Chapter 4. Hierarchy of convection models in closed volumes Requires Authentication Unlicensed Licensed Download PDF	60
Chapter 5. Invariant submodels of microconvection equations Requires Authentication Unlicensed Licensed Download PDF	115
Chapter 6. Group properties of equations of thermodiffusion motion Requires Authentication Unlicensed Licensed Download PDF	157
Chapter 7. Stability of equilibrium states in the Oberbeck–Boussinesq model Requires Authentication Unlicensed Licensed Download PDF	198
Chapter 8. Small perturbations and stability of plane layers in the microconvection model Requires Authentication Unlicensed Licensed Download PDF	227
Chapter 9. Numerical simulation of convective flows under microgravity conditions Requires Authentication Unlicensed Licensed Download PDF	263
Chapter 10. Convective flows in tubes and layers Requires Authentication Unlicensed Licensed Download PDF	347
Bibliography Requires Authentication Unlicensed Licensed Download PDF	401
Index Requires Authentication Unlicensed Licensed Download PDF	415

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Theoretical Physicists, Theoretical Chemists, Materials Scientists; Academic Libraries
Pages
- Front matter: 15
- Main content: 417
Illustrations
- Illustrations: 115
- Tables: 32
Keywords: Convection; Fluid Dynamics; Heat Transfer Theory; Mathematical Modeling

eBook

Published: July 30, 2012
ISBN: 9783110258592