Thermal Convection Patterns, Evolution and Stability

by Lappa, Marcello

• ISBN13: 9780470699942
• ISBN10: 0470699949
• eBook ISBN(s): 9780470749999
• Edition: 1st
• Format: Hardcover
• Copyright: 2010-02-22
• Publisher: Wiley
• More Book Details

Summary

Thermal Convection - Patterns, Stages of Evolution and Stability Behavior provides the reader with an ensemble picture of the subject, illustrating the state-of-the-art and providing the researchers from universities and industry with a basis on which they are able to estimate the possible impact of a variety of parameters. Unlike earlier books on the subject, the heavy mathematical background underlying and governing the behaviors illustrated in the text are kept to a minimum.The text clarifies some still unresolved controversies pertaining to the physical nature of the dominating driving force responsible for asymmetric/oscillatory convection in various natural phenomena and/or technologically important processes and can help researchers in elaborating and validating new, more complex models, in accelerating the current trend towards predictable and reproducible natural phenomena and in establishing an adequate scientific foundation to industrial processes.Thermal Convection - Patterns, Stages of Evolution and Stability Behavior is intended as a useful reference guide for specialists in disciplines such as the metallurgy and foundry field and researchers and scientists who are now coordinating their efforts to improve the quality of semiconductor or macromolecular crystals. The text may also be of use to organic chemists and materials scientists, atmosphere and planetary physicists, as well as an advanced level text for students taking part in courses on the physics of fluids, fluid mechanics, the behavior and evolution of non-linear systems, environmental phenomena and materials engineering.

Author Biography

Dr. Marcello Lappa is Senior Researcher at the Microgravity Advanced Research and Support Center. He has approximately 100 publications (the majority as a single author) in the fields of fluid motion and stability behavior (thermogravitational, thermocapillary, thermovibrational and magnetic convection), organic and inorganic materials sciences and crystal growth, multiphase flows, solidification, biotechnology and biomechanics, methods of numerical analysis in computational fluid dynamics and heat/mass transfer, high performance computing (parallel machines). He is founder and Editor-in-Chief of the scientific journal Fluid Dynamics and Materials Processing (ISSN 1555-256X). He has worked as a visiting scientist and professor at the Institute for Materials Chemistry and Engineering - Division of Advanced Device Materials in Japan (Kyushu University). Over recent years he has been involved in many industrial projects and, in particular, in the preparation of the ground and flight operations for the Fluid Science Laboratory (FSL) that will operate on-orbit within the Columbus Module of the International Space Station by the half of 2008.

Table of Contents

Preface

Acknowledgements

Equations, General concepts and Methods of Analysis

Pattern Formation and Nonlinear Dynamics

The Navier-Stokes Equations

The Energy Equality and Dissipative Structures

Flow Stability, Bifurcations and Transition to Chaos

Linear Stability Analysis: Principles and Methods

Energy Stability Theory

Numerical Integration of the Navier Stokes Equations

Some Universal Properties of Chaotic States

The Maxwell Equations

Classical Models, Characteristic Numbers and Scaling arguments

Buoyancy Convection and the Boussinesq Model

Convection in Space

Marangoni Flow

Exact Solutions of the Navier-Stokes Equations for Thermal Problems

Conductive, Transition and Boundary-layer Regimes

Examples of Thermal Fluid Convection and Pattern Formation in Nature and Technology

Technological processes: Small scale laboratory and industrial set-ups

Examples of Thermal Fluid Convection and Pattern Formation at the Mesoscale

Planetary Structure and Dynamics: Convective Phenomena

Atmospheric and Oceanic Phenomena

Thermogravitational Convection: The Rayleigh-Bénard problem

Nonconfined fluid layers and ideal straight rolls

The Busse Balloon

Some considerations about the role of Dislocation Dynamics

Tertiary and Quaternary Modes of Convection

Spoke Pattern Convection

Spiral Defect Chaos, Hexagons and Squares

Convection with lateral walls

Twodimensional models

Threedimensional parellelepipedic enclosures: Classification of solutions and possible symmetries

The circular cylindrical problem

Spirals: Genesis, Properties and Dynamics

From Spirals to SDC: The Extensive ChaosProblem

Threedimensional Convection in a Spherical Shell

The Dynamics of Thermal Plumes and Related Regimes of Motion

Introduction

Free Plume Regimes

The Flywheel mechanism: the ôWind" of Turbulence

Multiplume configurations originated from discrete sources of buoyancy

Systems heated from the side: The Hadley Flow

The Infinite Horizontal Layer

Twodimensional horizontal enclosures

The infinite vertical layer: Cats-eye Patterns and temperature Waves

Threedimensional parallelepipedic enclosures

Cylindrical geometries

Thermogravitational Convection in Inclined Systems

Inclined Layer Convection

Inclinedside-heated slots

Thermovibrational Convection

Equations and relevant parameters

Fields decomposition

The TFD Distortions

High frequencies and the Thermovibrational theory

States of quasi-equilibrium and related stability

Primary and secondary patterns of symmetry

Medium and low frequencies: Possible regimes and flow patterns

Marangoni-Bénard Convection

Introduction

High Prandtl number liquids: Patterns with Hexagons, Squares and Triangles

Liquid metals: Inverted Hexagons and high-order solutions

Effects induced by the lateral confinement

Temperature Gradient Inclination

Thermocapillary Convection

Basic Features of Steady Marangoni Convection

Stationary Multicellular Flow and Hydrothermal Waves

Annular Configurations

The Liquid Bridge

Mixed Buoyancy-Marangoni Convection

The Canonical Problem: the infinite horizontal layer

Finite-size systems filled with liquid metals

Typical Terrestrial Laboratory Experiments with Transparent Liquids

The rectangular liquid layer

Effects originating from the walls

The Open Vertical Cavity

The Annular Pool

The Liquid Bridge on the ground

Hybrid Regimes with Vibrations

RB Convection with Vertical Shaking

Complex Order, Quasiperiodic Crystals and Superlattices

RB Convection with Horizontal or Oblique Shaking

Laterally Heated Systems and Parametric Resonances

Control of Thermogravitational Convection

Mixed Marangoni/Thermovibrational Convection

Modulation of Marangoni-Bénard Convection

Flow Control by Magnetic Fields

Static and Uniform Magnetic Fields

Historical developments and current status

Rotating Magnetic Fields

Gradients of Magnetic Fields and Virtual Microgravity

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