Modeling in materials processing:
Mathematical modeling and computer simulation are useful tools for improving materials processing. While 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 differ...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2001
|
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Mathematical modeling and computer simulation are useful tools for improving materials processing. While 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 different approach, presenting an integrated treatment of metallic and non-metallic 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. The book also treats selected numerical methods, showing the relationship between the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practising engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiii, 363 pages) |
| ISBN: | 9781139175272 |
| DOI: | 10.1017/CBO9781139175272 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043942832 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2001 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139175272 |c Online |9 978-1-139-17527-2 | ||
| 024 | 7 | |a 10.1017/CBO9781139175272 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139175272 | ||
| 035 | |a (OCoLC)859642681 | ||
| 035 | |a (DE-599)BVBBV043942832 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 670.42/01/5118 |2 21 | |
| 084 | |a ZM 8050 |0 (DE-625)157144: |2 rvk | ||
| 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 |b Cambridge University Press |c 2001 | |
| 300 | |a 1 online resource (xiii, 363 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |g 1.1 |g 1 |t What Is a Model? |g 1.2 |g 2 |t A Simple Pendulum |g 1.3 |g 6 |t One-Dimensional Traffic Flow |g 2 |g 24 |t Governing Equations |g 2.2 |g 29 |t Mass Balance |g 2.3 |g 33 |t Momentum Balance |g 2.4 |g 45 |t Energy Balance |g 3 |g 60 |t Scaling and Model Simplification |g 3.2 |g 62 |t Basic Scaling Analysis |g 3.3 |g 69 |t Small Parameters and Boundary Layers |g 3.4 |g 76 |t Classical Dimensionless Groups |g 3.5 |g 78 |t Nondimensionalization for Numerical Solutions (Advanced) |g 4 |g 87 |t Heat Conduction and Materials Processing |g 4.1 |g 90 |t Steady Heat Conduction in Solids |g 4.2 |g 93 |t Transient Heat Conduction |g 4.3 |g 106 |t Conduction with Phase Change |g 5 |g 132 |t Isothermal Newtonian Fluid Flow |g 5.1 |g 132 |t Newtonian Flow in a Thin Channel |g 5.2 |g 143 |t Other Slow Newtonian Flows |g 5.3 |g 149 |t Free Surfaces and Moving Boundaries |g 5.4 |g 161 |t Flows with Significant Inertia |g 6 |g 190 |t Non-Newtonian Fluid Flow |g 6.1 |t Non-Newtonian Behavior |t Power Law Model |t Power Law Solutions for Other Simple Geometries |t Principles of Non-Newtonian Constitutive Equations |t More Non-Newtonian Constitutive Equations |t Generalized Hele-Shaw Approximation |t Heat Transfer with Fluid Flow |t Uncoupled Advection |t Temperature-Dependent Viscosity and Viscous Dissipation |t Buoyancy-Driven Flow |t Mass Transfer and Solidification Microstructures |t Governing Equations for Diffusion |t Solid-State Diffusion |t Solidification Microstructure Development |t A Mathematical Background |t Scalars, Vectors, and Tensors: Definitions and Notation |t Vector and Tensor Algebra |t Differential Operations in Rectangular Coordinates |t Vectors and Tensors in Cylindrical and Spherical Coordinates |9 |g 190 -- |g 6.2 |g 192 -- |g 6.3 |g 200 -- |g 6.4 |g 202 -- |g 6.5 |g 209 -- |g 6.6 |g 217 -- |g 7 |g 239 -- |g 7.1 |g 239 -- |g 7.2 |g 250 -- |g 7.3 |g 259 -- |g 8 |g 282 -- |g 8.1 |g 282 -- |g 8.2 |g 285 -- |g 8.3 |g 295 -- |g 327 -- |g A.1 |g 327 -- |g A.2 |g 331 -- |g A.3 |g 335 -- |g A.4 |g 337 -- |g A.5 |
| 505 | 8 | 0 | |t Divergence Theorem |t Curvature of Curves and Surfaces |t Gaussian Error Function |t Balance and Kinematic Equations |t Continuity Equation: General Form |t Continuity Equation: Constant [rho] |t Rate-of-Deformation Tensor |t Vorticity Tensor |t General Equation of Motion |t Navier-Stokes Equation: Constant [rho] and [mu] |t Heat Flux Vector: Isotropic Material |t Energy Balance: General Form |t Energy Balance: Constant [rho], [kappa] and [mu] |9 |g 339 -- |g A.6 |g 339 -- |g A.7 |g 343 -- |g B |g 348 -- |g B.1 |g 348 -- |g B.2 |g 348 -- |g B.3 |g 349 -- |g B.4 |g 350 -- |g B.5 |g 350 -- |g B.6 |g 352 -- |g B.7 |g 353 -- |g B.8 |g 354 -- |g B.9 |g 355 |
| 520 | |a Mathematical modeling and computer simulation are useful tools for improving materials processing. While 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 different approach, presenting an integrated treatment of metallic and non-metallic 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. The book also treats selected numerical methods, showing the relationship between the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practising engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Manufacturing processes / Mathematical models | |
| 650 | 0 | 7 | |a Materialbearbeitung |0 (DE-588)4139082-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Materialbearbeitung |0 (DE-588)4139082-9 |D s |
| 689 | 0 | 1 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Tucker, Charles L. |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-77063-7 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-77923-4 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781139175272 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029351802 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139175272 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139175272 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176886160424960 |
|---|---|
| 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 | BV043942832 |
| classification_rvk | ZM 8050 |
| collection | ZDB-20-CBO |
| contents | What Is a Model? A Simple Pendulum One-Dimensional Traffic Flow Governing Equations Mass Balance Momentum Balance Energy Balance Scaling and Model Simplification Basic Scaling Analysis Small Parameters and Boundary Layers Classical Dimensionless Groups Nondimensionalization for Numerical Solutions (Advanced) Heat Conduction and Materials Processing Steady Heat Conduction in Solids Transient Heat Conduction Conduction with Phase Change Isothermal Newtonian Fluid Flow Newtonian Flow in a Thin Channel Other Slow Newtonian Flows Free Surfaces and Moving Boundaries Flows with Significant Inertia Non-Newtonian Fluid Flow Non-Newtonian Behavior Power Law Model Power Law Solutions for Other Simple Geometries Principles of Non-Newtonian Constitutive Equations More Non-Newtonian Constitutive Equations Generalized Hele-Shaw Approximation Heat Transfer with Fluid Flow Uncoupled Advection Temperature-Dependent Viscosity and Viscous Dissipation Buoyancy-Driven Flow Mass Transfer and Solidification Microstructures Governing Equations for Diffusion Solid-State Diffusion Solidification Microstructure Development A Mathematical Background Scalars, Vectors, and Tensors: Definitions and Notation Vector and Tensor Algebra Differential Operations in Rectangular Coordinates Vectors and Tensors in Cylindrical and Spherical Coordinates Divergence Theorem Curvature of Curves and Surfaces Gaussian Error Function Balance and Kinematic Equations Continuity Equation: General Form Continuity Equation: Constant [rho] Rate-of-Deformation Tensor Vorticity Tensor General Equation of Motion Navier-Stokes Equation: Constant [rho] and [mu] Heat Flux Vector: Isotropic Material Energy Balance: General Form Energy Balance: Constant [rho], [kappa] and [mu] |
| ctrlnum | (ZDB-20-CBO)CR9781139175272 (OCoLC)859642681 (DE-599)BVBBV043942832 |
| 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 |
| doi_str_mv | 10.1017/CBO9781139175272 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05579nmm a2200529zc 4500</leader><controlfield tag="001">BV043942832</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2001 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139175272</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-17527-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781139175272</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139175272</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)859642681</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043942832</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">670.42/01/5118</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">ZM 8050</subfield><subfield code="0">(DE-625)157144:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dantzig, J. A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Modeling in materials processing</subfield><subfield code="c">Jonathan A. Dantzig, Charles L. Tucker, III.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiii, 363 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="g">1.1</subfield><subfield code="g">1</subfield><subfield code="t">What Is a Model?</subfield><subfield code="g">1.2</subfield><subfield code="g">2</subfield><subfield code="t">A Simple Pendulum</subfield><subfield code="g">1.3</subfield><subfield code="g">6</subfield><subfield code="t">One-Dimensional Traffic Flow</subfield><subfield code="g">2</subfield><subfield code="g">24</subfield><subfield code="t">Governing Equations</subfield><subfield code="g">2.2</subfield><subfield code="g">29</subfield><subfield code="t">Mass Balance</subfield><subfield code="g">2.3</subfield><subfield code="g">33</subfield><subfield code="t">Momentum Balance</subfield><subfield code="g">2.4</subfield><subfield code="g">45</subfield><subfield code="t">Energy Balance</subfield><subfield code="g">3</subfield><subfield code="g">60</subfield><subfield code="t">Scaling and Model Simplification</subfield><subfield code="g">3.2</subfield><subfield code="g">62</subfield><subfield code="t">Basic Scaling Analysis</subfield><subfield code="g">3.3</subfield><subfield code="g">69</subfield><subfield code="t">Small Parameters and Boundary Layers</subfield><subfield code="g">3.4</subfield><subfield code="g">76</subfield><subfield code="t">Classical Dimensionless Groups</subfield><subfield code="g">3.5</subfield><subfield code="g">78</subfield><subfield code="t">Nondimensionalization for Numerical Solutions (Advanced)</subfield><subfield code="g">4</subfield><subfield code="g">87</subfield><subfield code="t">Heat Conduction and Materials Processing</subfield><subfield code="g">4.1</subfield><subfield code="g">90</subfield><subfield code="t">Steady Heat Conduction in Solids</subfield><subfield code="g">4.2</subfield><subfield code="g">93</subfield><subfield code="t">Transient Heat Conduction</subfield><subfield code="g">4.3</subfield><subfield code="g">106</subfield><subfield code="t">Conduction with Phase Change</subfield><subfield code="g">5</subfield><subfield code="g">132</subfield><subfield code="t">Isothermal Newtonian Fluid Flow</subfield><subfield code="g">5.1</subfield><subfield code="g">132</subfield><subfield code="t">Newtonian Flow in a Thin Channel</subfield><subfield code="g">5.2</subfield><subfield code="g">143</subfield><subfield code="t">Other Slow Newtonian Flows</subfield><subfield code="g">5.3</subfield><subfield code="g">149</subfield><subfield code="t">Free Surfaces and Moving Boundaries</subfield><subfield code="g">5.4</subfield><subfield code="g">161</subfield><subfield code="t">Flows with Significant Inertia</subfield><subfield code="g">6</subfield><subfield code="g">190</subfield><subfield code="t">Non-Newtonian Fluid Flow</subfield><subfield code="g">6.1</subfield><subfield code="t">Non-Newtonian Behavior</subfield><subfield code="t">Power Law Model</subfield><subfield code="t">Power Law Solutions for Other Simple Geometries</subfield><subfield code="t">Principles of Non-Newtonian Constitutive Equations</subfield><subfield code="t">More Non-Newtonian Constitutive Equations</subfield><subfield code="t">Generalized Hele-Shaw Approximation</subfield><subfield code="t">Heat Transfer with Fluid Flow</subfield><subfield code="t">Uncoupled Advection</subfield><subfield code="t">Temperature-Dependent Viscosity and Viscous Dissipation</subfield><subfield code="t">Buoyancy-Driven Flow</subfield><subfield code="t">Mass Transfer and Solidification Microstructures</subfield><subfield code="t">Governing Equations for Diffusion</subfield><subfield code="t">Solid-State Diffusion</subfield><subfield code="t">Solidification Microstructure Development</subfield><subfield code="t">A Mathematical Background</subfield><subfield code="t">Scalars, Vectors, and Tensors: Definitions and Notation</subfield><subfield code="t">Vector and Tensor Algebra</subfield><subfield code="t">Differential Operations in Rectangular Coordinates</subfield><subfield code="t">Vectors and Tensors in Cylindrical and Spherical Coordinates</subfield><subfield code="9"> </subfield><subfield code="g">190 --</subfield><subfield code="g">6.2</subfield><subfield code="g">192 --</subfield><subfield code="g">6.3</subfield><subfield code="g">200 --</subfield><subfield code="g">6.4</subfield><subfield code="g">202 --</subfield><subfield code="g">6.5</subfield><subfield code="g">209 --</subfield><subfield code="g">6.6</subfield><subfield code="g">217 --</subfield><subfield code="g">7</subfield><subfield code="g">239 --</subfield><subfield code="g">7.1</subfield><subfield code="g">239 --</subfield><subfield code="g">7.2</subfield><subfield code="g">250 --</subfield><subfield code="g">7.3</subfield><subfield code="g">259 --</subfield><subfield code="g">8</subfield><subfield code="g">282 --</subfield><subfield code="g">8.1</subfield><subfield code="g">282 --</subfield><subfield code="g">8.2</subfield><subfield code="g">285 --</subfield><subfield code="g">8.3</subfield><subfield code="g">295 --</subfield><subfield code="g">327 --</subfield><subfield code="g">A.1</subfield><subfield code="g">327 --</subfield><subfield code="g">A.2</subfield><subfield code="g">331 --</subfield><subfield code="g">A.3</subfield><subfield code="g">335 --</subfield><subfield code="g">A.4</subfield><subfield code="g">337 --</subfield><subfield code="g">A.5</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Divergence Theorem</subfield><subfield code="t">Curvature of Curves and Surfaces</subfield><subfield code="t">Gaussian Error Function</subfield><subfield code="t">Balance and Kinematic Equations</subfield><subfield code="t">Continuity Equation: General Form</subfield><subfield code="t">Continuity Equation: Constant [rho]</subfield><subfield code="t">Rate-of-Deformation Tensor</subfield><subfield code="t">Vorticity Tensor</subfield><subfield code="t">General Equation of Motion</subfield><subfield code="t">Navier-Stokes Equation: Constant [rho] and [mu]</subfield><subfield code="t">Heat Flux Vector: Isotropic Material</subfield><subfield code="t">Energy Balance: General Form</subfield><subfield code="t">Energy Balance: Constant [rho], [kappa] and [mu]</subfield><subfield code="9"> </subfield><subfield code="g">339 --</subfield><subfield code="g">A.6</subfield><subfield code="g">339 --</subfield><subfield code="g">A.7</subfield><subfield code="g">343 --</subfield><subfield code="g">B</subfield><subfield code="g">348 --</subfield><subfield code="g">B.1</subfield><subfield code="g">348 --</subfield><subfield code="g">B.2</subfield><subfield code="g">348 --</subfield><subfield code="g">B.3</subfield><subfield code="g">349 --</subfield><subfield code="g">B.4</subfield><subfield code="g">350 --</subfield><subfield code="g">B.5</subfield><subfield code="g">350 --</subfield><subfield code="g">B.6</subfield><subfield code="g">352 --</subfield><subfield code="g">B.7</subfield><subfield code="g">353 --</subfield><subfield code="g">B.8</subfield><subfield code="g">354 --</subfield><subfield code="g">B.9</subfield><subfield code="g">355</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Mathematical modeling and computer simulation are useful tools for improving materials processing. While 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 different approach, presenting an integrated treatment of metallic and non-metallic 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. The book also treats selected numerical methods, showing the relationship between the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practising engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Manufacturing processes / Mathematical models</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Materialbearbeitung</subfield><subfield code="0">(DE-588)4139082-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Materialbearbeitung</subfield><subfield code="0">(DE-588)4139082-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tucker, Charles L.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-77063-7</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-77923-4</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781139175272</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029351802</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139175272</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139175272</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043942832 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:18Z |
| institution | BVB |
| isbn | 9781139175272 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351802 |
| oclc_num | 859642681 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiii, 363 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| 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 Cambridge University Press 2001 1 online resource (xiii, 363 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1.1 1 What Is a Model? 1.2 2 A Simple Pendulum 1.3 6 One-Dimensional Traffic Flow 2 24 Governing Equations 2.2 29 Mass Balance 2.3 33 Momentum Balance 2.4 45 Energy Balance 3 60 Scaling and Model Simplification 3.2 62 Basic Scaling Analysis 3.3 69 Small Parameters and Boundary Layers 3.4 76 Classical Dimensionless Groups 3.5 78 Nondimensionalization for Numerical Solutions (Advanced) 4 87 Heat Conduction and Materials Processing 4.1 90 Steady Heat Conduction in Solids 4.2 93 Transient Heat Conduction 4.3 106 Conduction with Phase Change 5 132 Isothermal Newtonian Fluid Flow 5.1 132 Newtonian Flow in a Thin Channel 5.2 143 Other Slow Newtonian Flows 5.3 149 Free Surfaces and Moving Boundaries 5.4 161 Flows with Significant Inertia 6 190 Non-Newtonian Fluid Flow 6.1 Non-Newtonian Behavior Power Law Model Power Law Solutions for Other Simple Geometries Principles of Non-Newtonian Constitutive Equations More Non-Newtonian Constitutive Equations Generalized Hele-Shaw Approximation Heat Transfer with Fluid Flow Uncoupled Advection Temperature-Dependent Viscosity and Viscous Dissipation Buoyancy-Driven Flow Mass Transfer and Solidification Microstructures Governing Equations for Diffusion Solid-State Diffusion Solidification Microstructure Development A Mathematical Background Scalars, Vectors, and Tensors: Definitions and Notation Vector and Tensor Algebra Differential Operations in Rectangular Coordinates Vectors and Tensors in Cylindrical and Spherical Coordinates 190 -- 6.2 192 -- 6.3 200 -- 6.4 202 -- 6.5 209 -- 6.6 217 -- 7 239 -- 7.1 239 -- 7.2 250 -- 7.3 259 -- 8 282 -- 8.1 282 -- 8.2 285 -- 8.3 295 -- 327 -- A.1 327 -- A.2 331 -- A.3 335 -- A.4 337 -- A.5 Divergence Theorem Curvature of Curves and Surfaces Gaussian Error Function Balance and Kinematic Equations Continuity Equation: General Form Continuity Equation: Constant [rho] Rate-of-Deformation Tensor Vorticity Tensor General Equation of Motion Navier-Stokes Equation: Constant [rho] and [mu] Heat Flux Vector: Isotropic Material Energy Balance: General Form Energy Balance: Constant [rho], [kappa] and [mu] 339 -- A.6 339 -- A.7 343 -- B 348 -- B.1 348 -- B.2 348 -- B.3 349 -- B.4 350 -- B.5 350 -- B.6 352 -- B.7 353 -- B.8 354 -- B.9 355 Mathematical modeling and computer simulation are useful tools for improving materials processing. While 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 different approach, presenting an integrated treatment of metallic and non-metallic 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. The book also treats selected numerical methods, showing the relationship between the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practising engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book Mathematisches Modell Manufacturing processes / Mathematical models Materialbearbeitung (DE-588)4139082-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 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 Erscheint auch als Druckausgabe 978-0-521-77063-7 Erscheint auch als Druckausgabe 978-0-521-77923-4 https://doi.org/10.1017/CBO9781139175272 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dantzig, J. A. Modeling in materials processing What Is a Model? A Simple Pendulum One-Dimensional Traffic Flow Governing Equations Mass Balance Momentum Balance Energy Balance Scaling and Model Simplification Basic Scaling Analysis Small Parameters and Boundary Layers Classical Dimensionless Groups Nondimensionalization for Numerical Solutions (Advanced) Heat Conduction and Materials Processing Steady Heat Conduction in Solids Transient Heat Conduction Conduction with Phase Change Isothermal Newtonian Fluid Flow Newtonian Flow in a Thin Channel Other Slow Newtonian Flows Free Surfaces and Moving Boundaries Flows with Significant Inertia Non-Newtonian Fluid Flow Non-Newtonian Behavior Power Law Model Power Law Solutions for Other Simple Geometries Principles of Non-Newtonian Constitutive Equations More Non-Newtonian Constitutive Equations Generalized Hele-Shaw Approximation Heat Transfer with Fluid Flow Uncoupled Advection Temperature-Dependent Viscosity and Viscous Dissipation Buoyancy-Driven Flow Mass Transfer and Solidification Microstructures Governing Equations for Diffusion Solid-State Diffusion Solidification Microstructure Development A Mathematical Background Scalars, Vectors, and Tensors: Definitions and Notation Vector and Tensor Algebra Differential Operations in Rectangular Coordinates Vectors and Tensors in Cylindrical and Spherical Coordinates Divergence Theorem Curvature of Curves and Surfaces Gaussian Error Function Balance and Kinematic Equations Continuity Equation: General Form Continuity Equation: Constant [rho] Rate-of-Deformation Tensor Vorticity Tensor General Equation of Motion Navier-Stokes Equation: Constant [rho] and [mu] Heat Flux Vector: Isotropic Material Energy Balance: General Form Energy Balance: Constant [rho], [kappa] and [mu] Mathematisches Modell Manufacturing processes / Mathematical models Materialbearbeitung (DE-588)4139082-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4139082-9 (DE-588)4114528-8 |
| title | Modeling in materials processing |
| title_alt | What Is a Model? A Simple Pendulum One-Dimensional Traffic Flow Governing Equations Mass Balance Momentum Balance Energy Balance Scaling and Model Simplification Basic Scaling Analysis Small Parameters and Boundary Layers Classical Dimensionless Groups Nondimensionalization for Numerical Solutions (Advanced) Heat Conduction and Materials Processing Steady Heat Conduction in Solids Transient Heat Conduction Conduction with Phase Change Isothermal Newtonian Fluid Flow Newtonian Flow in a Thin Channel Other Slow Newtonian Flows Free Surfaces and Moving Boundaries Flows with Significant Inertia Non-Newtonian Fluid Flow Non-Newtonian Behavior Power Law Model Power Law Solutions for Other Simple Geometries Principles of Non-Newtonian Constitutive Equations More Non-Newtonian Constitutive Equations Generalized Hele-Shaw Approximation Heat Transfer with Fluid Flow Uncoupled Advection Temperature-Dependent Viscosity and Viscous Dissipation Buoyancy-Driven Flow Mass Transfer and Solidification Microstructures Governing Equations for Diffusion Solid-State Diffusion Solidification Microstructure Development A Mathematical Background Scalars, Vectors, and Tensors: Definitions and Notation Vector and Tensor Algebra Differential Operations in Rectangular Coordinates Vectors and Tensors in Cylindrical and Spherical Coordinates Divergence Theorem Curvature of Curves and Surfaces Gaussian Error Function Balance and Kinematic Equations Continuity Equation: General Form Continuity Equation: Constant [rho] Rate-of-Deformation Tensor Vorticity Tensor General Equation of Motion Navier-Stokes Equation: Constant [rho] and [mu] Heat Flux Vector: Isotropic Material Energy Balance: General Form Energy Balance: Constant [rho], [kappa] and [mu] |
| 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 | Mathematisches Modell Manufacturing processes / Mathematical models Materialbearbeitung (DE-588)4139082-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Mathematisches Modell Manufacturing processes / Mathematical models Materialbearbeitung |
| url | https://doi.org/10.1017/CBO9781139175272 |
| work_keys_str_mv | AT dantzigja modelinginmaterialsprocessing AT tuckercharlesl modelinginmaterialsprocessing |