Computational Thermo-Fluid Dynamics. In Materials Science and Engineering

  • ID: 2183394
  • Book
  • 370 Pages
  • John Wiley and Sons Ltd
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Combining previously unconnected computational methods, this monograph discusses the latest basic schemes and algorithms for the solution of fluid, heat and mass transfer problems coupled with electrodynamics. It presents the necessary mathematical background of computational thermo–fluid dynamics, the numerical implementation and the application to real–world problems. Particular emphasis is placed throughout on the use of electromagnetic fields to control the heat, mass and fluid flows in melts and on phase change phenomena during the solidification of pure materials and binary alloys. However, the book provides much more than formalisms and algorithms; it also stresses the importance of good, feasible and workable models to understand complex systems, and develops these in detail.

Bringing computational fluid dynamics, thermodynamics and electrodynamics together, this is a useful source for materials scientists, PhD students, solid state physicists, process engineers and mechanical engineers, as well as lecturers in mechanical engineering.

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INTRODUCTION

Heat and Fluid Flows in Material Science and Engineering

Overview of the Present Work

MATHEMATICAL DESCRIPTION OF PHYSICAL PHENOMENA IN THERMOFLUIDDYNAMICS

Conservation Equations for Continuum Media

Boundary and Initial Conditions

Conservation Equations in Electromagnetics

DISCRETIZATION APPROACHES AND NUMERICAL METHODS

The Finite Difference Method

The Finite Volume Method

Solution of Linear Equation Systems

CALCULATIONS OF FLOWS WITH HEAT AND MASS TRANSFER

Solution of Incompressible Navier–Stokes Equations

Pressure and Velocity Coupling: SIMPLE Family

Illustrations of Schemes for Flow with Heat Transfer

Complex Geometry Problems on Fixed Cartesian Grids

CONVECTION–DIFFUSION PHASE CHANGE PROBLEMS

Some Aspects of Solidification Thermodynamics

Modeling of Macroscale Phase Change Phenomena

Turbulent Solidification

Microscale Phase Change Phenomena

Crystal Growth Modelling

Melting of Pure Gallium under the Influence of Natural Convection

APPLICATION I: SPIN–UP OF A LIQUID METAL IN CYLINDRICAL CAVITIES

Spin–Up of Isothermal Flow Driven by Rotating Magnetic Field

The Impact of the Buoyancy Force on the Spin–Up Dynamics

APPLICATION II: LAMINAR AND TURBULENT FLOWS DRIVEN BY A RMF

Laminar Flows: State of the Art

Turbulent Flows

APPLICATION III: CONTACTLESS MIXING OF LIQUID METALS

Mixing under Zero Gravity Condition

The Impact of Gravity on the Mixing

APPLICATION IV: ELECTROMAGNETIC CONTROL OF BINARY METAL ALLOYS SOLIDIFICATION

Control of a binary metal alloy Solidification by use of AC fields

Control of Solidification by use of Steady Electromagnetic Fields

The Impact of a Steady Electrical Current on the Unidirectional Solidification

The Impact of an Electric Field on the Shape of a Dendrite

The Impact of Parallel Applied Electric and Magnetic Fields on Dendritic Growth

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Petr A. Nikrityuk
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