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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.
List of contents
INTRODUCTIONHeat and Fluid Flows in Material Science and EngineeringOverview of the Present WorkMATHEMATICAL DESCRIPTION OF PHYSICAL PHENOMENA IN THERMOFLUIDDYNAMICSConservation Equations for Continuum MediaBoundary and Initial ConditionsConservation Equations in ElectromagneticsDISCRETIZATION APPROACHES AND NUMERICAL METHODSThe Finite Difference MethodThe Finite Volume MethodSolution of Linear Equation SystemsCALCULATIONS OF FLOWS WITH HEAT AND MASS TRANSFERSolution of Incompressible Navier-Stokes EquationsPressure and Velocity Coupling: SIMPLE FamilyIllustrations of Schemes for Flow with Heat TransferComplex Geometry Problems on Fixed Cartesian GridsCONVECTION-DIFFUSION PHASE CHANGE PROBLEMSSome Aspects of Solidification ThermodynamicsModeling of Macroscale Phase Change PhenomenaTurbulent SolidificationMicroscale Phase Change PhenomenaMelting of Pure Gallium under the Influence of Natural ConvectionAPPLICATION I: SPIN-UP OF A LIQUID METAL IN CYLINDRICAL CAVITIESSpin-Up of Isothermal Flow Driven by Rotating Magnetic FieldThe Impact of the Buoyancy Force on the Spin-Up DynamicsAPPLICATION II: LAMINAR AND TURBULENT FLOWS DRIVEN BY A RMFLaminar Flows: State of the ArtTurbulent FlowsAPPLICATION III: CONTACTLESS MIXING OF LIQUID METALSMixing under Zero Gravity ConditionThe Impact of Gravity on the MixingAPPLICATION IV: ELECTROMAGNETIC CONTROL OF BINARY METAL ALLOYS SOLIDIFICATIONControl of a binary metal alloy Solidification by use of AC fieldsControl of Solidification by use of Steady Electromagnetic FieldsThe Impact of a Steady Electrical Current on the Unidirectional SolidificationThe Impact of an Electric Field on the Shape of a DendriteThe Impact of Parallel Applied Electric and Magnetic Fields on Dendritic Growth
About the author
Petr Nikrityuk is head of the research group "Interphase Phenomena" within the "Virtual High Temperature Conversion Processes" (VIRTUHCON) project at the Technical University Freiberg, Germany. He studied mechanical engineering at the Moscow Aviation Institute where he also obtained his PhD on the topic of mathematical modeling of thermal processes. Before taking up his current position in Freiberg, Petr Nikrityuk worked as software developer in the field of computational fluid dynamics and as a research scientist in the Institute for Aerospace Engineering at the Technical University Dresden, Germany.
Summary
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.
