Mathematical and Physical Modeling of Materials Processing Operations

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Overview

In Mathematical and Physical Modeling of Materials Processing Operatio ns, the authors bridge the gap between mathematical modelers and exper imentalists. They combine mathematical and physical modeling principle s for materials processing operations simulation and use numerous exam ples to compare theoretical and experimental results.

"...one stop resource for the principles involved in the simulation of materials processing operations using mathematical and physical modeling techniques...cross"

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Editorial Reviews

Booknews
Discusses the basic principles involved in the simulation of materials processing using both mathematical and physical modeling techniques. The book features topics not usually found in traditional transport phenomena texts, such as software and hardware selection and application, and representation of auxiliary relationships including turbulence modeling, chemical kinetics, magnetohydrodynamics and multiphase flow. Written primarily as an introduction for materials engineers and researchers, it can also serve as a textbook for undergraduate and first-level graduate courses in process modeling. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9781584880172
  • Publisher: Taylor & Francis
  • Publication date: 7/29/1999
  • Series: Mechanical and Aerospace Engineering Series , #12
  • Edition description: New Edition
  • Pages: 512
  • Product dimensions: 6.40 (w) x 9.60 (h) x 1.27 (d)

Table of Contents

INTRODUCTION
Introductory Remarks
Mathematical Modeling
Physical Models
Pilot Plant
BUILDING BLOCKS OF MATHEMATICAL MODELS
Introduction
General Philosophy of Model Development
Some Basic Physical Situations of Relevance to Modeling
SCIENCE BASE OF MATHEMATICAL MODEL DEVELOPMENT
Introduction
Fluid Flow Phenomena
Heat Transfer
Diffusion and Mass Transfer
Multiphase Flow
SUBSIDIARY RELATIONSHIPS USED IN MATHEMATICAL MODELING
Introduction
Chemical Equilibria and Chemical Kinetics
Electromagnetic Flow Phenomena
Non-Newtonian Rheology of Semisolid Slurry Systems
Turbulence Modeling
Useful Correlations
Determination of Physical Properties
SCALING, SCOPING, AND ASYMPTOTIC SOLUTIONS
Introduction
Scaling
Scoping and Asymptotic Solutions
NUMERICAL TECHNIQUES
Introduction
Linear Equations
Nonlinear Equations
Functional Approximation
Numerical Differentiation
Numerical Integration
Ordinary Differential Equations
Partial Differential Equations
Finite Difference Method
Finite Element Method
Orthogonal Collocation
Boundary Integral Method
Optimization
IMPLEMENTATION AND VERIFICATION OF PROCESS MODELS
Introduction
Hardware
Software
Artificial Intelligence
The Future of Modeling Implementations
Verification of Models
MATHEMATICAL MODELING CASE STUDIES
Introduction
Scaling and Scoping-Electrolytic Deposition
Simulations of Fluid Flow and Heat Transfer in Coextrusion
Infiltration Processing of Silicon Carbide
Stoichiometry Driven Marangoni Convection in GaAs Growth
Czochralski Crystal Growth
Flow Characteristics in Gas-Agitated Bath
BASIC ELEMENTS OF PHYSICAL MODELING
Principles of Physical Modeling
Flow Visualization Technique
Measurement of Turbulent Phenomena
Bubble Characteristics
Measurement of Interfacial Phenomena
Measurement of Heat and Mass Transfer
PHYSICAL MODELING EXAMPLES
Bubbling and Jetting
Mixing
Swirl Motion of Bubbling jet
Bubble Characteristics
Liquid Flow Characteristics in a Bath Agitated by Gas Injection
Heat Transfer Between Bubbles and Molten Metal
Heat Transfer Between Solid Body and Molten Metal
Mass Transfer Between Bubbles and Liquid
Mass Transfer Between a Solid Body and Liquid
Entrainment of Top Slag by Lower Molten Metal
Effects of Top Slag on Liquid Flow Characteristics
Turbulence Structure in Bottom Blown Bath with Top Slag Using Conditional Sampling
APPENDICES
Dimensionless Numbers Useful in Process Metallurgy
Fluid Flow Equations in Various Coordinate Systems
Components of the Stress Tensor for Newtonian Fluids in Various Coordinate Systems
The Viscous Dissipation Term for Newtonian Fluids in Various Coordinate Systems

Plus each chapter includes references

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