000 04792nam a2200361 i 4500
001 CR9781139175272
003 UkCbUP
005 20230516164915.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 141103s2001||||enk o ||1 0|eng|d
020 _a9781139175272 (ebook)
020 _z9780521770637 (hardback)
020 _z9780521779234 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aTS183
_b.M612 2001
082 0 0 _a670.42/01/5118
_221
100 1 _aDantzig, J. A.,
_eauthor.
_968097
245 1 0 _aModeling in materials processing /
_cJonathan A. Dantzig, Charles L. Tucker, III.
264 1 _aCambridge :
_bCambridge University Press,
_c2001.
300 _a1 online resource (xiii, 363 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.1
_tWhat Is a Model?
_g1 --
_g1.2
_tA Simple Pendulum
_g2 --
_g1.3
_tOne-Dimensional Traffic Flow
_g6 --
_g2
_tGoverning Equations
_g24 --
_g2.2
_tMass Balance
_g29 --
_g2.3
_tMomentum Balance
_g33 --
_g2.4
_tEnergy Balance
_g45 --
_g3
_tScaling and Model Simplification
_g60 --
_g3.2
_tBasic Scaling Analysis
_g62 --
_g3.3
_tSmall Parameters and Boundary Layers
_g69 --
_g3.4
_tClassical Dimensionless Groups
_g76 --
_g3.5
_tNondimensionalization for Numerical Solutions (Advanced)
_g78 --
_g4
_tHeat Conduction and Materials Processing
_g87 --
_g4.1
_tSteady Heat Conduction in Solids
_g90 --
_g4.2
_tTransient Heat Conduction
_g93 --
_g4.3
_tConduction with Phase Change
_g106 --
_g5
_tIsothermal Newtonian Fluid Flow
_g132 --
_g5.1
_tNewtonian Flow in a Thin Channel
_g132 --
_g5.2
_tOther Slow Newtonian Flows
_g143 --
_g5.3
_tFree Surfaces and Moving Boundaries
_g149 --
_g5.4
_tFlows with Significant Inertia
_g161 --
_g6
_tNon-Newtonian Fluid Flow
_g190 --
_g6.1
_tNon-Newtonian Behavior
_g190 --
_g6.2
_tPower Law Model
_g192 --
_g6.3
_tPower Law Solutions for Other Simple Geometries
_g200 --
_g6.4
_tPrinciples of Non-Newtonian Constitutive Equations
_g202 --
_g6.5
_tMore Non-Newtonian Constitutive Equations
_g209 --
_g6.6
_tGeneralized Hele-Shaw Approximation
_g217 --
_g7
_tHeat Transfer with Fluid Flow
_g239 --
_g7.1
_tUncoupled Advection
_g239 --
_g7.2
_tTemperature-Dependent Viscosity and Viscous Dissipation
_g250 --
_g7.3
_tBuoyancy-Driven Flow
_g259 --
_g8
_tMass Transfer and Solidification Microstructures
_g282 --
_g8.1
_tGoverning Equations for Diffusion
_g282 --
_g8.2
_tSolid-State Diffusion
_g285 --
_g8.3
_tSolidification Microstructure Development
_g295 --
_tA Mathematical Background
_g327 --
_gA.1
_tScalars, Vectors, and Tensors: Definitions and Notation
_g327 --
_gA.2
_tVector and Tensor Algebra
_g331 --
_gA.3
_tDifferential Operations in Rectangular Coordinates
_g335 --
_gA.4
_tVectors and Tensors in Cylindrical and Spherical Coordinates
_g337 --
_gA.5
_tDivergence Theorem
_g339 --
_gA.6
_tCurvature of Curves and Surfaces
_g339 --
_gA.7
_tGaussian Error Function
_g343 --
_gB
_tBalance and Kinematic Equations
_g348 --
_gB.1
_tContinuity Equation: General Form
_g348 --
_gB.2
_tContinuity Equation: Constant [rho]
_g348 --
_gB.3
_tRate-of-Deformation Tensor
_g349 --
_gB.4
_tVorticity Tensor
_g350 --
_gB.5
_tGeneral Equation of Motion
_g350 --
_gB.6
_tNavier-Stokes Equation: Constant [rho] and [mu]
_g352 --
_gB.7
_tHeat Flux Vector: Isotropic Material
_g353 --
_gB.8
_tEnergy Balance: General Form
_g354 --
_gB.9
_tEnergy Balance: Constant [rho], [kappa] and [mu]
_g355.
520 _aMathematical 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 0 _aManufacturing processes
_xMathematical models.
_968098
700 1 _aTucker, Charles L.,
_eauthor.
_968099
776 0 8 _iPrint version:
_z9780521770637
856 4 0 _uhttps://doi.org/10.1017/CBO9781139175272
942 _cEBK
999 _c82240
_d82240