Modeling in materials processing:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, England
Cambridge University Press
2001
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Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes bibliographical references and index 1.1 - What Is a Model? - 1 -- - 1.2 - A Simple Pendulum - 2 -- - 1.3 - One-Dimensional Traffic Flow - 6 -- - 2 - Governing Equations - 24 -- - 2.2 - Mass Balance - 29 -- - 2.3 - Momentum Balance - 33 -- - 2.4 - Energy Balance - 45 -- - 3 - Scaling and Model Simplification - 60 -- - 3.2 - Basic Scaling Analysis - 62 -- - 3.3 - Small Parameters and Boundary Layers - 69 -- - 3.4 - Classical Dimensionless Groups - 76 -- - 3.5 - Nondimensionalization for Numerical Solutions (Advanced) - 78 -- - 4 - Heat Conduction and Materials Processing - 87 -- - 4.1 - Steady Heat Conduction in Solids - 90 -- - 4.2 - Transient Heat Conduction - 93 -- - 4.3 - Conduction with Phase Change - 106 -- - 5 - Isothermal Newtonian Fluid Flow - 132 -- - 5.1 - Newtonian Flow in a Thin Channel - 132 -- - 5.2 - Other Slow Newtonian Flows - 143 -- - 5.3 - Free Surfaces and Moving Boundaries - 149 -- - 5.4 - Flows with Significant Inertia - 161 -- - 6 - Non-Newtonian Fluid Flow - 190 -- - 6.1 - Non-Newtonian Behavior - 190 -- - 6.2 - Power Law Model - 192 -- - 6.3 - Power Law Solutions for Other Simple Geometries - 200 -- - 6.4 - Principles of Non-Newtonian Constitutive Equations - 202 -- - 6.5 - More Non-Newtonian Constitutive Equations - 209 -- - 6.6 - Generalized Hele-Shaw Approximation - 217 -- - 7 - Heat Transfer with Fluid Flow - 239 -- - 7.1 - Uncoupled Advection - 239 -- - 7.2 - Temperature-Dependent Viscosity and Viscous Dissipation - 250 -- - 7.3 - Buoyancy-Driven Flow - 259 -- - 8 - Mass Transfer and Solidification Microstructures - 282 -- - 8.1 - Governing Equations for Diffusion - 282 -- - 8.2 - Solid-State Diffusion - 285 -- - 8.3 - Solidification Microstructure Development - 295 -- - A Mathematical Background - 327 -- - A.1 - Scalars, Vectors, and Tensors: Definitions and Notation - 327 -- - A.2 - Vector and Tensor Algebra - 331 -- - A.3 - Differential Operations in Rectangular Coordinates - 335 -- - A.4 - Vectors and Tensors in Cylindrical and Spherical Coordinates - 337 -- - A.5 - Divergence Theorem - 339 -- - A.6 - Curvature of Curves and Surfaces - 339 -- - A.7 - Gaussian Error Function - 343 -- - B - Balance and Kinematic Equations - 348 -- - B.1 - Continuity Equation: General Form - 348 -- - B.2 - Continuity Equation: Constant [rho] - 348 -- - B.3 - Rate-of-Deformation Tensor - 349 -- - B.4 - Vorticity Tensor - 350 -- - B.5 - General Equation of Motion - 350 -- - B.6 - Navier-Stokes Equation: Constant [rho] and [mu] - 352 -- - B.7 - Heat Flux Vector: Isotropic Material - 353 -- - B.8 - Energy Balance: General Form - 354 -- - B.9 - Energy Balance: Constant [rho], [kappa] and [mu] - 355 "Mathematical modeling and computer simulation have been widely embraced in industry as useful tools for improving materials processing. Although courses in materials processing have covered modeling, they have traditionally been devoted to one particular class of materials, that is, polymers, metals, or ceramics. This text offers a new approach, presenting an integrated treatment of metallic and nonmetallic materials. The authors show that a common base of knowledge - specifically, the fundamentals of heat transfer and fluid mechanics - provides a unifying theme for these seemingly disparate areas. Emphasis is placed on understanding basic physical phenomena and knowing how to include them in a model. Thus, chapters explain how to decide which physical phenomena are important in specific applications, and how to develop analytical models. A unique feature is the use of scaling analysis as a rational way to simplify the general governing equations for each individual process. The book also treats selected numerical methods, showing the relationship among the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practicing engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book."--BOOK JACKET. |
Beschreibung: | 1 Online-Ressource (xiii, 363 p.) |
ISBN: | 0521770637 0521779235 1139175270 113963674X 1139649051 9780521770637 9780521779234 9781139175272 9781139636742 9781139649056 |
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100 | 1 | |a Dantzig, J. A. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Modeling in materials processing |c Jonathan A. Dantzig, Charles L. Tucker, III. |
264 | 1 | |a Cambridge, England |b Cambridge University Press |c 2001 | |
300 | |a 1 Online-Ressource (xiii, 363 p.) | ||
336 | |b txt |2 rdacontent | ||
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500 | |a Includes bibliographical references and index | ||
500 | |a 1.1 - What Is a Model? - 1 -- - 1.2 - A Simple Pendulum - 2 -- - 1.3 - One-Dimensional Traffic Flow - 6 -- - 2 - Governing Equations - 24 -- - 2.2 - Mass Balance - 29 -- - 2.3 - Momentum Balance - 33 -- - 2.4 - Energy Balance - 45 -- - 3 - Scaling and Model Simplification - 60 -- - 3.2 - Basic Scaling Analysis - 62 -- - 3.3 - Small Parameters and Boundary Layers - 69 -- - 3.4 - Classical Dimensionless Groups - 76 -- - 3.5 - Nondimensionalization for Numerical Solutions (Advanced) - 78 -- - 4 - Heat Conduction and Materials Processing - 87 -- - 4.1 - Steady Heat Conduction in Solids - 90 -- - 4.2 - Transient Heat Conduction - 93 -- - 4.3 - Conduction with Phase Change - 106 -- - 5 - Isothermal Newtonian Fluid Flow - 132 -- - 5.1 - Newtonian Flow in a Thin Channel - 132 -- - 5.2 - Other Slow Newtonian Flows - 143 -- - 5.3 - Free Surfaces and Moving Boundaries - 149 -- - 5.4 - Flows with Significant Inertia - 161 -- - 6 - Non-Newtonian Fluid Flow - 190 -- - 6.1 - Non-Newtonian Behavior | ||
500 | |a - 190 -- - 6.2 - Power Law Model - 192 -- - 6.3 - Power Law Solutions for Other Simple Geometries - 200 -- - 6.4 - Principles of Non-Newtonian Constitutive Equations - 202 -- - 6.5 - More Non-Newtonian Constitutive Equations - 209 -- - 6.6 - Generalized Hele-Shaw Approximation - 217 -- - 7 - Heat Transfer with Fluid Flow - 239 -- - 7.1 - Uncoupled Advection - 239 -- - 7.2 - Temperature-Dependent Viscosity and Viscous Dissipation - 250 -- - 7.3 - Buoyancy-Driven Flow - 259 -- - 8 - Mass Transfer and Solidification Microstructures - 282 -- - 8.1 - Governing Equations for Diffusion - 282 -- - 8.2 - Solid-State Diffusion - 285 -- - 8.3 - Solidification Microstructure Development - 295 -- - A Mathematical Background - 327 -- - A.1 - Scalars, Vectors, and Tensors: Definitions and Notation - 327 -- - A.2 - Vector and Tensor Algebra - 331 -- - A.3 - Differential Operations in Rectangular Coordinates - 335 -- - A.4 - Vectors and Tensors in Cylindrical and Spherical Coordinates - 337 -- - A.5 | ||
500 | |a - Divergence Theorem - 339 -- - A.6 - Curvature of Curves and Surfaces - 339 -- - A.7 - Gaussian Error Function - 343 -- - B - Balance and Kinematic Equations - 348 -- - B.1 - Continuity Equation: General Form - 348 -- - B.2 - Continuity Equation: Constant [rho] - 348 -- - B.3 - Rate-of-Deformation Tensor - 349 -- - B.4 - Vorticity Tensor - 350 -- - B.5 - General Equation of Motion - 350 -- - B.6 - Navier-Stokes Equation: Constant [rho] and [mu] - 352 -- - B.7 - Heat Flux Vector: Isotropic Material - 353 -- - B.8 - Energy Balance: General Form - 354 -- - B.9 - Energy Balance: Constant [rho], [kappa] and [mu] - 355 | ||
500 | |a "Mathematical modeling and computer simulation have been widely embraced in industry as useful tools for improving materials processing. Although courses in materials processing have covered modeling, they have traditionally been devoted to one particular class of materials, that is, polymers, metals, or ceramics. This text offers a new approach, presenting an integrated treatment of metallic and nonmetallic materials. The authors show that a common base of knowledge - specifically, the fundamentals of heat transfer and fluid mechanics - provides a unifying theme for these seemingly disparate areas. Emphasis is placed on understanding basic physical phenomena and knowing how to include them in a model. Thus, chapters explain how to decide which physical phenomena are important in specific applications, and how to develop analytical models. A unique feature is the use of scaling analysis as a rational way to simplify the general governing equations for each individual process. The book also treats selected numerical methods, showing the relationship among the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practicing engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book."--BOOK JACKET. | ||
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650 | 7 | |a Manufacturing processes / Mathematical models |2 local | |
650 | 7 | |a Heat / Transmission / Computer simulation |2 local | |
650 | 7 | |a Fluid mechanics / Mathematical models |2 local | |
650 | 7 | |a Fluid mechanics / Computer simulation |2 local | |
650 | 7 | |a Manufacturing processes / Mathematical models |2 fast | |
650 | 4 | |a Mathematisches Modell | |
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Datensatz im Suchindex
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---|---|
any_adam_object | |
author | Dantzig, J. A. |
author_facet | Dantzig, J. A. |
author_role | aut |
author_sort | Dantzig, J. A. |
author_variant | j a d ja jad |
building | Verbundindex |
bvnumber | BV043060059 |
collection | ZDB-4-EBA |
ctrlnum | (OCoLC)852898450 (DE-599)BVBBV043060059 |
dewey-full | 670.42/01/5118 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 670 - Manufacturing |
dewey-raw | 670.42/01/5118 |
dewey-search | 670.42/01/5118 |
dewey-sort | 3670.42 11 45118 |
dewey-tens | 670 - Manufacturing |
discipline | Werkstoffwissenschaften / Fertigungstechnik |
format | Electronic eBook |
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id | DE-604.BV043060059 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:16:13Z |
institution | BVB |
isbn | 0521770637 0521779235 1139175270 113963674X 1139649051 9780521770637 9780521779234 9781139175272 9781139636742 9781139649056 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028484251 |
oclc_num | 852898450 |
open_access_boolean | |
owner | DE-1046 DE-1047 |
owner_facet | DE-1046 DE-1047 |
physical | 1 Online-Ressource (xiii, 363 p.) |
psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
publishDate | 2001 |
publishDateSearch | 2001 |
publishDateSort | 2001 |
publisher | Cambridge University Press |
record_format | marc |
spelling | Dantzig, J. A. Verfasser aut Modeling in materials processing Jonathan A. Dantzig, Charles L. Tucker, III. Cambridge, England Cambridge University Press 2001 1 Online-Ressource (xiii, 363 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 1.1 - What Is a Model? - 1 -- - 1.2 - A Simple Pendulum - 2 -- - 1.3 - One-Dimensional Traffic Flow - 6 -- - 2 - Governing Equations - 24 -- - 2.2 - Mass Balance - 29 -- - 2.3 - Momentum Balance - 33 -- - 2.4 - Energy Balance - 45 -- - 3 - Scaling and Model Simplification - 60 -- - 3.2 - Basic Scaling Analysis - 62 -- - 3.3 - Small Parameters and Boundary Layers - 69 -- - 3.4 - Classical Dimensionless Groups - 76 -- - 3.5 - Nondimensionalization for Numerical Solutions (Advanced) - 78 -- - 4 - Heat Conduction and Materials Processing - 87 -- - 4.1 - Steady Heat Conduction in Solids - 90 -- - 4.2 - Transient Heat Conduction - 93 -- - 4.3 - Conduction with Phase Change - 106 -- - 5 - Isothermal Newtonian Fluid Flow - 132 -- - 5.1 - Newtonian Flow in a Thin Channel - 132 -- - 5.2 - Other Slow Newtonian Flows - 143 -- - 5.3 - Free Surfaces and Moving Boundaries - 149 -- - 5.4 - Flows with Significant Inertia - 161 -- - 6 - Non-Newtonian Fluid Flow - 190 -- - 6.1 - Non-Newtonian Behavior - 190 -- - 6.2 - Power Law Model - 192 -- - 6.3 - Power Law Solutions for Other Simple Geometries - 200 -- - 6.4 - Principles of Non-Newtonian Constitutive Equations - 202 -- - 6.5 - More Non-Newtonian Constitutive Equations - 209 -- - 6.6 - Generalized Hele-Shaw Approximation - 217 -- - 7 - Heat Transfer with Fluid Flow - 239 -- - 7.1 - Uncoupled Advection - 239 -- - 7.2 - Temperature-Dependent Viscosity and Viscous Dissipation - 250 -- - 7.3 - Buoyancy-Driven Flow - 259 -- - 8 - Mass Transfer and Solidification Microstructures - 282 -- - 8.1 - Governing Equations for Diffusion - 282 -- - 8.2 - Solid-State Diffusion - 285 -- - 8.3 - Solidification Microstructure Development - 295 -- - A Mathematical Background - 327 -- - A.1 - Scalars, Vectors, and Tensors: Definitions and Notation - 327 -- - A.2 - Vector and Tensor Algebra - 331 -- - A.3 - Differential Operations in Rectangular Coordinates - 335 -- - A.4 - Vectors and Tensors in Cylindrical and Spherical Coordinates - 337 -- - A.5 - Divergence Theorem - 339 -- - A.6 - Curvature of Curves and Surfaces - 339 -- - A.7 - Gaussian Error Function - 343 -- - B - Balance and Kinematic Equations - 348 -- - B.1 - Continuity Equation: General Form - 348 -- - B.2 - Continuity Equation: Constant [rho] - 348 -- - B.3 - Rate-of-Deformation Tensor - 349 -- - B.4 - Vorticity Tensor - 350 -- - B.5 - General Equation of Motion - 350 -- - B.6 - Navier-Stokes Equation: Constant [rho] and [mu] - 352 -- - B.7 - Heat Flux Vector: Isotropic Material - 353 -- - B.8 - Energy Balance: General Form - 354 -- - B.9 - Energy Balance: Constant [rho], [kappa] and [mu] - 355 "Mathematical modeling and computer simulation have been widely embraced in industry as useful tools for improving materials processing. Although courses in materials processing have covered modeling, they have traditionally been devoted to one particular class of materials, that is, polymers, metals, or ceramics. This text offers a new approach, presenting an integrated treatment of metallic and nonmetallic materials. The authors show that a common base of knowledge - specifically, the fundamentals of heat transfer and fluid mechanics - provides a unifying theme for these seemingly disparate areas. Emphasis is placed on understanding basic physical phenomena and knowing how to include them in a model. Thus, chapters explain how to decide which physical phenomena are important in specific applications, and how to develop analytical models. A unique feature is the use of scaling analysis as a rational way to simplify the general governing equations for each individual process. The book also treats selected numerical methods, showing the relationship among the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practicing engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book."--BOOK JACKET. Materiais larpcal Modelos matemáticos larpcal Materialbearbeitung swd Mathematisches Modell swd Materiais Modelos matemáticos Materialbearbeitung gnd Mathematisches Modell gnd TECHNOLOGY & ENGINEERING / Industrial Engineering bisacsh Manufacturing processes / Mathematical models local Heat / Transmission / Computer simulation local Fluid mechanics / Mathematical models local Fluid mechanics / Computer simulation local Manufacturing processes / Mathematical models fast Mathematisches Modell Manufacturing processes Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Materialbearbeitung (DE-588)4139082-9 gnd rswk-swf Materialbearbeitung (DE-588)4139082-9 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Tucker, Charles L. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=511006 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Dantzig, J. A. Modeling in materials processing Materiais larpcal Modelos matemáticos larpcal Materialbearbeitung swd Mathematisches Modell swd Materiais Modelos matemáticos Materialbearbeitung gnd Mathematisches Modell gnd TECHNOLOGY & ENGINEERING / Industrial Engineering bisacsh Manufacturing processes / Mathematical models local Heat / Transmission / Computer simulation local Fluid mechanics / Mathematical models local Fluid mechanics / Computer simulation local Manufacturing processes / Mathematical models fast Mathematisches Modell Manufacturing processes Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Materialbearbeitung (DE-588)4139082-9 gnd |
subject_GND | (DE-588)4114528-8 (DE-588)4139082-9 |
title | Modeling in materials processing |
title_auth | Modeling in materials processing |
title_exact_search | Modeling in materials processing |
title_full | Modeling in materials processing Jonathan A. Dantzig, Charles L. Tucker, III. |
title_fullStr | Modeling in materials processing Jonathan A. Dantzig, Charles L. Tucker, III. |
title_full_unstemmed | Modeling in materials processing Jonathan A. Dantzig, Charles L. Tucker, III. |
title_short | Modeling in materials processing |
title_sort | modeling in materials processing |
topic | Materiais larpcal Modelos matemáticos larpcal Materialbearbeitung swd Mathematisches Modell swd Materiais Modelos matemáticos Materialbearbeitung gnd Mathematisches Modell gnd TECHNOLOGY & ENGINEERING / Industrial Engineering bisacsh Manufacturing processes / Mathematical models local Heat / Transmission / Computer simulation local Fluid mechanics / Mathematical models local Fluid mechanics / Computer simulation local Manufacturing processes / Mathematical models fast Mathematisches Modell Manufacturing processes Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Materialbearbeitung (DE-588)4139082-9 gnd |
topic_facet | Materiais Modelos matemáticos Materialbearbeitung Mathematisches Modell TECHNOLOGY & ENGINEERING / Industrial Engineering Manufacturing processes / Mathematical models Heat / Transmission / Computer simulation Fluid mechanics / Mathematical models Fluid mechanics / Computer simulation Manufacturing processes Mathematical models |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=511006 |
work_keys_str_mv | AT dantzigja modelinginmaterialsprocessing AT tuckercharlesl modelinginmaterialsprocessing |