Computational thermo-fluid dynamics : in materials science and engineering
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.
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| Format: | eBook Book |
| Language: | English |
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Weinheim
Wiley-VCH
2011
John Wiley & Sons, Incorporated |
| Edition: | 1 |
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| ISBN: | 9783527331017, 3527331018 |
| Online Access: | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Nikrityuk, Petr A. |
| Author_xml | – sequence: 1 fullname: Nikrityuk, Petr A. |
| BackLink | https://cir.nii.ac.jp/crid/1130000797556400000$$DView record in CiNii |
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| DOI | 10.1002/9783527636075 |
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| Discipline | Engineering |
| EISBN | 9783527636099 3527636099 3527636080 9783527636082 |
| Edition | 1 |
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| ISBN | 9783527331017 3527331018 |
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| Notes | Includes bibliographical references (p. 335-349) and index |
| OCLC | 747546206 |
| PQID | EBC822718 |
| PageCount | 371 |
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| PublicationDate | c2011 2011 2011-09-19 2011-06-24 |
| PublicationDateYYYYMMDD | 2011-01-01 2011-09-19 2011-06-24 |
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| PublicationDecade | 2010 |
| PublicationPlace | Weinheim |
| PublicationPlace_xml | – name: Weinheim – name: Newark |
| PublicationYear | 2011 |
| Publisher | Wiley-VCH John Wiley & Sons, Incorporated |
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| Snippet | Combining previously unconnected computational methods, this monograph discusses the latest basic schemes and algorithms for the solution of fluid, heat and... |
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| SubjectTerms | Fluid dynamics Fluid dynamics -- Mathematical models Heat Heat -- Transmission -- Mathematical models Mass transfer Materials science Mathematical models Thermodynamics -- Mathematical models |
| TableOfContents | Computational Thermo-Fluid Dynamics -- Contents -- Preface -- Acknowledgments -- 1 Introduction -- 1.1 Heat and Fluid Flows in Materials Science and Engineering -- 1.2 Overview of the Present Work -- 2 Mathematical Description of Physical Phenomena in Thermofluid Dynamics -- 2.1 Conservation Equations for Continuum Media -- 2.1.1 Conservation of Mass -- 2.1.2 Conservation of Momentum -- 2.1.3 Energy Conservation Equation -- 2.1.4 Conservation of Chemical Species -- 2.1.5 Boussinesq Approximation -- 2.1.6 Unified Form of Conservation Equations -- 2.1.7 Nondimensional Form of Conservation Equations -- 2.1.8 Short Summary -- 2.2 Boundary and Initial Conditions -- 2.2.1 Heat Transfer -- 2.2.2 Solutal Transfer -- 2.2.3 Fluid Dynamics -- 2.3 Conservation Equations in Electromagnetics -- 2.3.1 Maxwell Equations -- 2.3.2 Induction and Poisson Equations -- 2.3.3 An Example of a Low Magnetic Reynolds Number Approximation: Rotating Magnetic Field -- 3 Discretization Approaches and Numerical Methods -- 3.1 The Finite Difference Method -- 3.1.1 Introduction -- 3.1.2 Approximation Schemes -- 3.1.3 Example of Conservative Property of FDM -- 3.1.4 Discretization Schemes of Unsteady Equations -- 3.1.5 Example of Unsteady Diffusion Equation -- 3.2 The Finite Volume Method -- 3.2.1 Basic Concept -- 3.2.2 Interpolation Schemes -- 3.2.3 Linearized Form of Discretized Conservation Equation -- 3.2.4 Treatment of Source Terms -- 3.2.5 Boundary Conditions -- 3.2.6 Comparative Study of Schemes for One-Dimensional Convection/Diffusion Problem -- 3.3 Solution of Linear Equation Systems -- 3.3.1 Direct Methods -- 3.3.2 Iterative Methods -- 3.3.3 Residuals and Convergence -- 3.3.4 Multigrid Method -- 3.3.5 Illustration of Iterative Methods -- 4 Calculations of Flows with Heat and Mass Transfer -- 4.1 Solution of Incompressible Navier-Stokes Equations 4.2 Pressure and Velocity Coupling: SIMPLE Family -- 4.2.1 SIMPLE -- 4.2.2 SIMPLER -- 4.2.3 SIMPLE with Collocated Variables Arrangement -- 4.3 Illustrations of Schemes for Flow with Heat Transfer -- 4.4 Complex Geometry Problems on Fixed Cartesian Grids -- 4.4.1 Immersed Boundary Methods -- 4.4.2 Cartesian Grid Methods -- 4.4.3 Immersed Surface Reconstruction -- 4.4.4 Illustration of Continuous-Forcing IBM -- 5 Convection-Diffusion Phase-Change Problems -- 5.1 Some Aspects of Solidification Thermodynamics -- 5.1.1 One-Component Melts -- 5.1.2 Binary Alloys -- 5.1.3 Interface and Equilibrium -- 5.2 Modeling of Macroscale Phase-Change Phenomena -- 5.2.1 Heat Transfer in Phase-Change Systems: Fixed and Moving Grids -- 5.2.2 Mathematical Models of a Binary Alloy Solidification -- 5.2.3 Closure Relations for the Volume Fraction of Liquid -- 5.3 Turbulent Solidification -- 5.3.1 Review of Unsteady RANS Modeling of a Solidification -- 5.3.2 Conditions for the DNS of Convection-Driven Solidification -- 5.4 Microscale Phase-Change Phenomena -- 5.4.1 Basic Modeling Concepts -- 5.4.2 Modified Cellular Automaton Model -- 5.4.3 Virtual Interface Tracking Model -- 5.5 Modeling of Crystal Growth -- 5.5.1 Modeling Approaches -- 5.5.2 RMF Control of Crystal Growth -- 5.5.3 Model Formulation and Validation Case -- 5.5.4 VGF-RMF Crystal Growth -- 5.6 Melting of Pure Calium under the Influence of Natural Convection -- 5.6.1 State of Modeling -- 5.6.2 Model and Numerical Description -- 5.6.3 Results and Discussions -- 6 Application I: Spin-Up of a Liquid Metal in Cylindrical Cavities -- 6.1 Spin-Up of Isothermal Flow Driven by a Rotating Magnetic Field -- 6.1.1 Model Formulation -- 6.1.2 Governing Equations and Characteristic Scales -- 6.1.3 Numerical Techniques and Code Validation -- 6.1.4 The Physical Nature of Axisymmetric Instability -- 6.1.5 Numerical Results 6.1.6 Discussions -- 6.1.7 Short Summary -- 6.2 Impact of Buoyancy Force on Spin-Up Dynamics -- 7 Application II: Laminar and Turbulent Flows Driven by an RMF -- 7.1 Laminar Flows: State of the Art -- 7.1.1 Problem Formulation -- 7.1.2 Numerical Method -- 7.1.3 Numerical Results -- 7.1.4 Discussion -- 7.1.5 Short Summary -- 7.1.6 Estimation of Critical Taylor Number -- 7.2 Turbulent Flows -- 7.2.1 Axisymmetric Numerical Simulations -- 7.2.2 RANS: k- Turbulence Model -- 8 Application III: Contactless Mixing of Liquid Metals -- 8.1 Mixing under Zero-Gravity Conditions -- 8.1.1 Problem Formulation and Main Simplifications -- 8.1.2 Numerical Scheme and Validation Tests -- 8.1.3 Numerical Results -- 8.1.4 Discussion of Different Mixing Scenarios -- 8.1.5 Short Summary -- 8.2 The Impact of Gravity on Mixing -- 9 Application IV: Electromagnetic Control of Binary Metal Alloys Solidification -- 9.1 Control of a Binary Metal Alloy Solidification by Use of Alternating Current Fields -- 9.1.1 Control of Unidirectional Solidification of Al-Si Alloy by Use of RMF -- 9.1.2 Control of Side Cooled Systems by Use of RMF and TMF -- 9.2 Control of Solidification by Use of Steady Electromagnetic Fields -- 9.2.1 Problem and Model Formulation -- 9.2.2 Validation Test Cases -- 9.2.3 Numerical Results -- 9.3 The Impact of a Steady Electrical Current on Unidirectional Solidification -- 9.3.1 Problem and Model Formulation -- 9.3.2 Numerical Results and Discussions -- 9.4 The Impact of an Electric Field on the Shape of a Dendrite -- 9.4.1 Problem and Model Formulation -- 9.4.2 Scaling for Electrovortex Flows -- 9.4.3 Numerical Method and Code Validation -- 9.4.4 Numerical Results -- 9.5 The Impact of Parallel Applied Electric and Magnetic Fields on Dendritic Growth -- 9.5.1 Problem and Model Formulation -- 9.5.2 Numerical Results -- References -- Index |
| Title | Computational thermo-fluid dynamics : in materials science and engineering |
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