Mathematical and Physical Modeling of Materials Processing Operations

Mathematical and Physical Modeling of Materials Processing Operations

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Description

The past few decades have brought significant advances in the computational methods and in the experimental techniques used to study transport phenomena in materials processing operations. However, the advances have been made independently and with competition between the two approaches. Mathematical models are easier and less costly to implement, but experiments are essential for verifying theoretical models. In Mathematical and Physical Modeling of Materials Processing Operations, the authors bridge the gap between mathematical modelers and experimentalists. They combine mathematical and physical modeling principles for materials processing operations simulation and use numerous examples to compare theoretical and experimental results. The modeling of transport processes is multi-disciplinary, involving concepts and principles not all of which can be associated with just one field of study. Therefore, the authors have taken care to ensure that the text is self-sustaining through the variety and breadth of topics covered. Beyond the usual topics associated with transport phenomena, the authors also include detailed discussion of numerical methods and implementation of process models, software and hardware selection and application, and representation of auxiliary relationships, including turbulence modeling, chemical kinetics, magnetohydrodynamics, and multi-phase flow. They also provide several correlations for representing the boundary conditions of fluid flow, heat transfer, and mass transfer phenomena. Mathematical and Physical Modeling of Materials Processing Operations is ideal for introducing these tools to materials engineers and researchers. Although the book emphasizes materials, some of the topics will prove interesting and useful to researchers in other fields of chemical and mechanical engineering.show more

Product details

  • Hardback | 512 pages
  • 161 x 239.8 x 32.5mm | 879.98g
  • Taylor & Francis Ltd
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 27 black & white tables
  • 1584880171
  • 9781584880172

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 referencesshow more