1  20
Next
 New York : Academic Press, 1956.
 Description
 Book — 1 online resource.
 Cambridge : Cambridge University Press, 2011.
 Description
 Book — 1 online resource (402 p.) : digital, PDF file(s).
 Summary

 Preface
 Nomenclature
 1. Introduction
 2. The exact equations
 3. Characterization of stress and flux dynamics: elements required for modelling
 4. Approaches to closure
 5. Modelling the scaledetermining equations
 6. Modelling in the immediate wall vicinity and at low Ret
 7. Simplified schemes
 8. Wall functions
 References
 Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
4. Mathematical models in contact mechanics [2012]
 Sofonea, Mircea.
 New York : Cambridge University Press, 2012.
 Description
 Book — xiv, 280 p. : ill. ; 24 cm.
 Summary

 Preface
 List of symbols
 Part I. Introduction to Variational Inequalities: 1. Preliminaries on functional analysis
 2. Elliptic variational inequalities
 3. Historydependent variational inequalities
 Part II. Modelling and Analysis of Contact Problems: 4. Modelling of contact problems
 5. Analysis of elastic contact problems
 6. Analysis of elasticviscoplastic contact problems
 7. Analysis of piezoelectric contact problems
 Bibliographical notes
 References
 Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
TA353 .S55 2012  Unknown 
 Palmer, David A.
 [Place of publication not identified], CRC Press, 2017.
 Description
 Book — 1 online resource
 Summary

 1. Introduction Thermodynamics and Physical Properties in Process Innovation
 Section 1: Probing Research 2. Introductory Remarks New Chemical Reactions 3. Scoping Process Development and Design
 Section 2: Process Assessments 4. A Critically Evaluated Data Base from the Literature 5. Filling Data Gaps by Correlation and Prediction
 Section 3: Process Development 6. Contract Data Measurements 7. Developing an InHouse Measurement Capability
 Section 5: Applications 8. Tackling Difficult Problems 9. Thermodynamics of Process Optimization Made Easy.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Borel, Michel, author.
 London, United Kingdom : ISTE, Ltd. ; Hoboken, NJ : Wiley, 2017.
 Description
 Book — 1 online resource.
 Summary

 Introduction xi Table of Notations xiii Chapter 1. Vector Calculus 1 1.1. Vector space 1 1.1.1. Definition 1 1.1.2. Vector space  dimension  basis 2 1.1.3. Affine space 3 1.2. Affine space of dimension 3  free vector 4 1.3. Scalar product aâ b 5 1.3.1. Properties of the scalar product 6 1.3.2. Scalar square  unit vector 6 1.3.3. Geometric interpretation of the scalar product 7 1.3.4. Solving the equation a
 â x
 = 0 9 1.4. Vector product a â § b 9 1.4.1. Definition 9 1.4.2. Geometric interpretation of the vector product 10 1.4.3. Properties of vector product 11 1.4.4. Solving the equation a â § x = b 11 1.5. Mixed product (a , b, c ) 12 1.5.1. Definition 12 1.5.2. Geometric interpretation of the mixed product 12 1.5.3. Properties of the mixed product 13 1.6. Vector calculus in the affine space of dimension 3 15 1.6.1. Orthonormal basis 15 1.6.2. Analytical expression of the scalar product 16 1.6.3. Analytical expression of the vector product 16 1.6.4. Analytical expression of the mixed product 17 1.7. Applications of vector calculus 18 1.7.1. Double vector product 18 1.7.2. Resolving the equation a
 â x
 = b 22 1.7.3. Resolving the equation a â § x = b 23 1.7.4. Equality of Lagrange 25 1.7.5. Equations of planes 25 1.7.6. Relations within the triangle 27 1.8. Vectors and basis changes 28 1.8.1. Einstein's convention 28 1.8.2. Transition table from basis (e) to basis (E) 30 1.8.3. Characterization of the transition table 32 Chatper 2. Torsors and Torsor Calculus 35 2.1. Vector sets 35 2.1.1. Discrete set of vectors 35 2.1.2. Set of vectors defined on a continuum 36 2.2. Introduction to torsors 37 2.2.1. Definition 37 2.2.2. Equivalence of vector families 38 2.3. Algebra torsors 38 2.3.1. Equality of two torsors 38 2.3.2. Linear combination of torsors 39 2.3.3. Null torsors 39 2.3.4. Opposing torsor 40 2.3.5. Product of two torsors 40 2.3.6. Scalar moment of a torsor  equiprojectivity 41 2.3.7. Invariant scalar of a torsor 43 2.4. Characterization and classification of torsors 43 2.4.1. Torsors with a null resultant 43 2.4.2. Torsors with a nonull resultant 45 2.5. Derivation torsors 48 2.5.1. Torsor dependent on a single parameter q 49 2.5.2. Torsor dependent of n parameters qi functions of p 51 2.5.3. Explicitly dependent torsor of n + 1 parameters 52 Chapter 3. Derivation of Vector Functions 55 3.1. Derivative vector: definition and properties 55 3.2. Derivative of a function in a basis 56 3.3. Deriving a vector function of a variable 57 3.3.1. Relations between derivatives of a function in different bases 57 3.3.2. Differential form associated with two bases 63 3.4. Deriving a vector function of two variables 65 3.5. Deriving a vector function of n variables 68 3.6. Explicit intervention of the variable p 70 3.7. Relative rotation rate of a basis relative to another 71 Chapter 4. Vector Functions of One Variable Skew Curves 73 4.1. Vector function of one variable 73 4.2. Tangent at a point M 74 4.3. Unit tangent vector Ï ( q) 76 4.4. Main normal vector ( ) q Î½ 77 4.5. Unit binormal vector ( ) q ss 79 4.6. Frenet's basis 80 4.7. Curvilinear abscissa 81 4.8. Curvature, curvature center and curvature radius 83 4.9. Torsion and torsion radius 84 4.10. Orientation in (Î») of the Frenet basis 87 Chapter 5. Vector Functions of Two Variables Surfaces 91 5.1. Representation of a vector function of two variables 91 5.1.1. Coordinate curves 91 5.1.2. Regular or singular point  tangent plane  unit normal vector 93 5.1.3. Distinctive surfaces 95 5.1.4. Ruled surfaces 101 5.1.5. Area element 110 5.2. General properties of surfaces 111 5.2.1. First quadratic form 111 5.2.2. DarbouxRibaucour's trihedral 114 5.2.3. Second quadratic form 119 5.2.4. Meusnier's theorems 121 5.2.5. Geodesic torsion 123 5.2.6. Prominent curves traced on a surface 125 5.2.7. Directions and principal curvatures of a surface 127 Chapter 6. Vector Function of Three Variables: Volumes 135 6.1. Vector functions of three variables 135 6.1.1. Coordinate surfaces 135 6.1.2. Coordinate curves 136 6.1.3. Orthogonal curvilinear coordinates 136 6.2. Volume element 137 6.2.1. Definition 137 6.2.2. Applications to traditional coordinate systems 138 6.3. Rotation rate of the local basis 139 6.3.1. Calculation of the partial rotation rate 1Î´ (Î» , e) 140 6.3.2. Calculation of the rotation rate 143 Chapter 7. Linear Operators 145 7.1. Definition 145 7.2. Intrinsic properties 145 7.3. Algebra of linear operators 147 7.3.1. Unit operator 147 7.3.2. Equality of two linear operators 147 7.3.3. Product of a linear operator by a scalar 147 7.3.4. Sum of two linear operators 148 7.3.5. Multiplying two linear operators 148 7.4. Bilinear form 149 7.5. Quadratic form 150 7.6. Linear operator and basis change 150 7.7. Examples of linear operators 152 7.7.1. Operation f = a ^ F 152 7.7.2. Operation f = a ^ (a ^ F) 152 7.7.3. Operation f = a(b â F) 153 7.7.4. Operation f = a ^ (F ^ a) 155 7.8. Vector rotation Ru, a 156 7.8.1. Expression of the vector rotation 156 7.8.2. Quaternion associated with the vector rotation Ru, a 159 7.8.3. Matrix representation of the vector rotation 160 7.8.4. Basis change and rotation vector 162 Chapter 8. Homogeneity and Dimension 165 8.1. Notion of homogeneity 165 8.2. Dimension 165 8.3. Standard mechanical dimensions 166 8.4. Using dimensional equations 168 Bibliography 171 Index 173.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
7. Fundamentals of engineering plasticity [2013]
 Hosford, William F.
 Cambridge : Cambridge University Press, 2013.
 Description
 Book — vii, 267 pages : illustrations ; 24 cm
 Summary

 1. An overview of the history of plasticity theory
 2. Yielding
 3. Stress and strain
 4. Isotropic yield criteria
 5. Bounding theorems and work principles
 6. Slipline field theory
 7. Anisotropic plasticity
 8. Slip and dislocations
 9. Taylor and Bishop and Hill models
 10. Pencil glide calculations of yield loci
 11. Mechanical twinning and Martensitic shear
 12. Effects of strain hardening and strainrate dependence
 13. Defect analysis
 14. Effects of pressure and sign of stress state
 15. Lower bound analysis
 16. Plasticity tests.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Engineering Library (Terman)
Engineering Library (Terman)  Status 

Stacks  
TA418.14 .H67 2013  Unknown 
8. Heat conduction [electronic resource] [2012]
 Hahn, David W., 1964
 3rd ed.  Hoboken, N.J. : John Wiley & Sons, c2012.
 Description
 Book — 1 online resource (xix, 718 p.) : ill.
 Summary

 Preface xiii Preface to Second Edition xvii 1 Heat Conduction Fundamentals 1 11 The Heat Flux, 2 12 Thermal Conductivity, 4 13 Differential Equation of Heat Conduction, 6 14 Fourier's Law and the Heat Equation in Cylindrical and Spherical Coordinate Systems, 14 15 General Boundary Conditions and Initial Condition for the Heat Equation, 16 16 Nondimensional Analysis of the Heat Conduction Equation, 25 17 Heat Conduction Equation for Anisotropic Medium, 27 18 Lumped and Partially Lumped Formulation, 29 References, 36 Problems, 37 2 Orthogonal Functions, Boundary Value Problems, and the Fourier Series 40 21 Orthogonal Functions, 40 22 Boundary Value Problems, 41 23 The Fourier Series, 60 24 Computation of Eigenvalues, 63 25 Fourier Integrals, 67 References, 73 Problems, 73 3 Separation of Variables in the Rectangular Coordinate System 75 31 Basic Concepts in the Separation of Variables Method, 75 32 Generalization to Multidimensional Problems, 85 33 Solution of Multidimensional Homogenous Problems, 86 34 Multidimensional Nonhomogeneous Problems: Method of Superposition, 98 35 Product Solution, 112 36 Capstone Problem, 116 References, 123 Problems, 124 4 Separation of Variables in the Cylindrical Coordinate System 128 41 Separation of Heat Conduction Equation in the Cylindrical Coordinate System, 128 42 Solution of SteadyState Problems, 131 43 Solution of Transient Problems, 151 44 Capstone Problem, 167 References, 179 Problems, 179 5 Separation of Variables in the Spherical Coordinate System 183 51 Separation of Heat Conduction Equation in the Spherical Coordinate System, 183 52 Solution of SteadyState Problems, 188 53 Solution of Transient Problems, 194 54 Capstone Problem, 221 References, 233 Problems, 233 Notes, 235 6 Solution of the Heat Equation for SemiInfinite and Infinite Domains 236 61 OneDimensional Homogeneous Problems in a SemiInfinite Medium for the Cartesian Coordinate System, 236 62 Multidimensional Homogeneous Problems in a SemiInfinite Medium for the Cartesian Coordinate System, 247 63 OneDimensional Homogeneous Problems in An Infinite Medium for the Cartesian Coordinate System, 255 64 OneDimensional homogeneous Problems in a SemiInfinite Medium for the Cylindrical Coordinate System, 260 65 TwoDimensional Homogeneous Problems in a SemiInfinite Medium for the Cylindrical Coordinate System, 265 66 OneDimensional Homogeneous Problems in a SemiInfinite Medium for the Spherical Coordinate System, 268 References, 271 Problems, 271 7 Use of Duhamel's Theorem 273 71 Development of Duhamel's Theorem for Continuous TimeDependent Boundary Conditions, 273 72 Treatment of Discontinuities, 276 73 General Statement of Duhamel's Theorem, 278 74 Applications of Duhamel's Theorem, 281 75 Applications of Duhamel's Theorem for Internal Energy Generation, 294 References, 296 Problems, 297 8 Use of Green's Function for Solution of Heat Conduction Problems 300 81 Green's Function Approach for Solving Nonhomogeneous Transient Heat Conduction, 300 82 Determination of Green's Functions, 306 83 Representation of Point, Line, and Surface Heat Sources with Delta Functions, 312 84 Applications of Green's Function in the Rectangular Coordinate System, 317 85 Applications of Green's Function in the Cylindrical Coordinate System, 329 86 Applications of Green's Function in the Spherical Coordinate System, 335 87 Products of Green's Functions, 344 References, 349 Problems, 349 9 Use of the Laplace Transform 355 91 Definition of Laplace Transformation, 356 92 Properties of Laplace Transform, 357 93 Inversion of Laplace Transform Using the Inversion Tables, 365 94 Application of the Laplace Transform in the Solution of TimeDependent Heat Conduction Problems, 372 95 Approximations for Small Times, 382 References, 390 Problems, 390 10 OneDimensional Composite Medium 393 101 Mathematical Formulation of OneDimensional Transient Heat Conduction in a Composite Medium, 393 102 Transformation of Nonhomogeneous Boundary Conditions into Homogeneous Ones, 395 103 Orthogonal Expansion Technique for Solving MLayer Homogeneous Problems, 401 104 Determination of Eigenfunctions and Eigenvalues, 407 105 Applications of Orthogonal Expansion Technique, 410 106 Green's Function Approach for Solving Nonhomogeneous Problems, 418 107 Use of Laplace Transform for Solving SemiInfinite and Infinite Medium Problems, 424 References, 429 Problems, 430 11 Moving Heat Source Problems 433 111 Mathematical Modeling of Moving Heat Source Problems, 434 112 OneDimensional QuasiStationary Plane Heat Source Problem, 439 113 TwoDimensional QuasiStationary Line Heat Source Problem, 443 114 TwoDimensional QuasiStationary Ring Heat Source Problem, 445 References, 449 Problems, 450 12 PhaseChange Problems 452 121 Mathematical Formulation of PhaseChange Problems, 454 122 Exact Solution of PhaseChange Problems, 461 123 Integral Method of Solution of PhaseChange Problems, 474 124 Variable Time Step Method for Solving PhaseChange Problems: A Numerical Solution, 478 125 Enthalpy Method for Solution of PhaseChange Problems: A Numerical Solution, 484 References, 490 Problems, 493 Note, 495 13 Approximate Analytic Methods 496 131 Integral Method: Basic Concepts, 496 132 Integral Method: Application to Linear Transient Heat Conduction in a SemiInfinite Medium, 498 133 Integral Method: Application to Nonlinear Transient Heat Conduction, 508 134 Integral Method: Application to a Finite Region, 512 135 Approximate Analytic Methods of Residuals, 516 136 The Galerkin Method, 521 137 Partial Integration, 533 138 Application to Transient Problems, 538 References, 542 Problems, 544 14 Integral Transform Technique 547 141 Use of Integral Transform in the Solution of Heat Conduction Problems, 548 142 Applications in the Rectangular Coordinate System, 556 143 Applications in the Cylindrical Coordinate System, 572 144 Applications in the Spherical Coordinate System, 589 145 Applications in the Solution of Steadystate problems, 599 References, 602 Problems, 603 Notes, 607 15 Heat Conduction in Anisotropic Solids 614 151 Heat Flux for Anisotropic Solids, 615 152 Heat Conduction Equation for Anisotropic Solids, 617 153 Boundary Conditions, 618 154 Thermal Resistivity Coefficients, 620 155 Determination of Principal Conductivities and Principal Axes, 621 156 Conductivity Matrix for Crystal Systems, 623 157 Transformation of Heat Conduction Equation for Orthotropic Medium, 624 158 Some Special Cases, 625 159 Heat Conduction in an Orthotropic Medium, 628 1510 Multidimensional Heat Conduction in an Anisotropic Medium, 637 References, 645 Problems, 647 Notes, 649 16 Introduction to Microscale Heat Conduction 651 161 Microstructure and Relevant Length Scales, 652 162 Physics of Energy Carriers, 656 163 Energy Storage and Transport, 661 164 Limitations of Fourier's Law and the First Regime of Microscale Heat Transfer, 667 165 Solutions and Approximations for the First Regime of Microscale Heat Transfer, 672 166 Second and Third Regimes of Microscale Heat Transfer, 676 167 Summary Remarks, 676 References, 676 APPENDIXES 679
 Appendix I Physical Properties 681 Table I1 Physical Properties of Metals, 681 Table I2 Physical Properties of Nonmetals, 683 Table I3 Physical Properties of Insulating Materials, 684
 Appendix II Roots of Transcendental Equations 685
 Appendix III Error Functions 688
 Appendix IV Bessel Functions 691 Table IV1 Numerical Values of Bessel Functions, 696 Table IV2 First 10 Roots of Jn(z) = 0, n = 0, 1, 2, 3, 4, 5, 704 Table IV3 First Six Roots of betaJ1(beta)  cJ0(beta) = 0, 705 Table IV4 First Five Roots of J0(beta)Y0(cbeta)  Y0(beta)J0(cbeta) = 0, 706
 Appendix V Numerical Values of Legendre Polynomials of the First Kind 707
 Appendix VI Properties of Delta Functions 710 Index 713.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Kuo, Kenneth K.
 Hoboken, N.J. : Wiley, c2012.
 Description
 Book — xxiv, 879 p. : ill. ; 25 cm.
 Summary

 Front Matter
 Introduction and Conservation Equations
 Laminar Premixed Flames
 Laminar NonPremixed Flames
 Background in Turbulent Flows
 Turbulent Premixed Flames
 NonPremixed Turbulent Flames
 Background in Multiphase Flows with Reactions
 Spray Atomization and Combustion
 Appendix A: Useful Vector and Tensor Operations
 Appendix B: Constants and Conversion Factors Often Used in Combustion
 Appendix C: Naming of Hydrocarbons
 Appendix D: Detailed GasPhase Reaction Mechanism for Aromatics Formation
 Appendix E: Particle Size₆U.S. Sieve Size and Tyler Screen Mesh Equivalents
 Bibliography
 Index.
 Machine generated contents note: Preface.Chapter 1. Introduction and Conservation Equations.Chapter 2. Premixed Laminar Flames.Chapter 3. Laminar NonPremixed Flames.Chapter 4. Background in Turbulent Flows.Chapter 5. Turbulent Premixed Flames.Chapter 6. NonPremixed Turbulent Flames.Chapter 7. Background in Multiphase flow with Reactions.Chapter 8. Spray Atomization and Combustion.Appendix A. Useful Vector and Tensor Operations.Appendix B. Constants and Conversion Factors Often Used in Combustion.Appendix C. Naming of Hydrocarbons.Appendix D. Detailed Gasphase Reaction Mechanism for Aromatics Formation.Appendix E. Particle Size
 US Sieve and Tyler Screen Mesh Equivalents.References.
(source: Nielsen Book Data)
 Todorov, Michail D., author.
 San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018] Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]
 Description
 Book — 1 online resource (various pagings) : illustrations (some color).
 Summary

 Preface Acknowledgements Author biography
 1. Twodimensional Boussinesq equation. Boussinesq paradigm and soliton solutions
 2. Systems of coupled nonlinear Schroedinger equations. Vector Schroedinger equation
 3. Ultrashort optical pulses. Envelope dispersive equations.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Bonet, Javier, author.
 Cambridge : Cambridge University Press, 2012.
 Description
 Book — 1 online resource (136 pages) : digital, PDF file(s).
 Summary

 1. Introduction
 2. Mathematical preliminaries
 3. Analysis of threedimensional truss structures
 4. Kinematics
 5. Stress and equilibrium
 6. Hyperelasticity
 7. Large elastoplastic deformations
 8. Linearized equilibrium equations
 9. Discretization and solution.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Ford, Ian, 1962
 Chichester : John Wiley, 2013.
 Description
 Book — 1 online resource (282 p.)
 Summary

 Preface xiii
 1. Disorder or Uncertainty? 1
 2. Classical Thermodynamics 5 2.1 The Classical Laws of Thermodynamics 5 2.2 Macroscopic State Variables and Thermodynamic Processes 6 2.3 Properties of the Ideal Classical Gas 8 2.4 Thermodynamic Processing of the Ideal Gas 10 2.5 Entropy of the Ideal Gas 13 2.6 Entropy Change in Free Expansion of an Ideal Gas 15 2.7 Entropy Change due to Nonquasistatic Heat Transfer 17 2.8 Cyclic Thermodynamic Processes, the Clausius Inequality and Carnot's Theorem 19 2.9 Generality of the Clausius Expression for Entropy Change 21 2.10 Entropy Change due to Nonquasistatic Work 23 2.11 Fundamental Relation of Thermodynamics 25 2.12 Entropy Change due to Nonquasistatic Particle Transfer 28 2.13 Entropy Change due to Nonquasistatic Volume Exchange 30 2.14 General Thermodynamic Driving 31 2.15 Reversible and Irreversible Processes 32 2.16 Statements of the Second Law 33 2.17 Classical Thermodynamics: the Salient Points 35 Exercises 35
 3. Applications of Classical Thermodynamics 37 3.1 Fluid Flow and Throttling Processes 37 3.2 Thermodynamic Potentials and Availability 39 3.2.1 Helmholtz Free Energy 40 3.2.2 Why Free Energy? 43 3.2.3 Contrast between Equilibria 43 3.2.4 Gibbs Free Energy 44 3.2.5 Grand Potential 46 3.3 Maxwell Relations 47 3.4 Nonideal Classical Gas 48 3.5 Relationship between Heat Capacities 49 3.6 General Expression for an Adiabat 50 3.7 Determination of Entropy from a Heat Capacity 50 3.8 Determination of Entropy from an Equation of State 51 3.9 Phase Transitions and Phase Diagrams 52 3.9.1 Conditions for Coexistence 53 3.9.2 ClausiusClapeyron Equation 55 3.9.3 The Maxwell Equal Areas Construction 57 3.9.4 Metastability and Nucleation 59 3.10 Work Processes without Volume Change 59 3.11 Consequences of the Third Law 60 3.12 Limitations of Classical Thermodynamics 61 Exercises 62
 4. Core Ideas of Statistical Thermodynamics 65 4.1 The Nature of Probability 65 4.2 Dynamics of Complex Systems 68 4.2.1 The Principle of Equal a Priori Probabilities 68 4.2.2 Microstate Enumeration 71 4.3 Microstates and Macrostates 72 4.4 Boltzmann's Principle and the Second Law 75 4.5 Statistical Ensembles 77 4.6 Statistical Thermodynamics: the Salient Points 78 Exercises 79
 5. Statistical Thermodynamics of a System of Harmonic Oscillators 81 5.1 Microstate Enumeration 81 5.2 Microcanonical Ensemble 83 5.3 Canonical Ensemble 84 5.4 The Thermodynamic Limit 88 5.5 Temperature and the Zeroth Law of Thermodynamics 91 5.6 Generalisation 91 Exercises 92
 6. The Boltzmann Factor and the Canonical Partition Function 95 6.1 Simple Applications of the Boltzmann Factor 95 6.1.1 MaxwellBoltzmann Distribution 95 6.1.2 Single Classical Oscillator and the Equipartition Theorem 97 6.1.3 Isothermal Atmosphere Model 98 6.1.4 Escape Problems and Reaction Rates 99 6.2 Mathematical Properties of the Canonical Partition Function 99 6.3 TwoLevel Paramagnet 101 6.4 Single Quantum Oscillator 103 6.5 Heat Capacity of a Diatomic Molecular Gas 104 6.6 Einstein Model of the Heat Capacity of Solids 105 6.7 Vacancies in Crystals 106 Exercises 108
 7. The Grand Canonical Ensemble and Grand Partition Function 111 7.1 System of Harmonic Oscillators 111 7.2 Grand Canonical Ensemble for a General System 115 7.3 Vacancies in Crystals Revisited 116 Exercises 117
 8. Statistical Models of Entropy 119 8.1 Boltzmann Entropy 119 8.1.1 The Second Law of Thermodynamics 120 8.1.2 The Maximum Entropy Macrostate of Oscillator Spikiness 122 8.1.3 The Maximum Entropy Macrostate of Oscillator Populations 122 8.1.4 The Third Law of Thermodynamics 126 8.2 Gibbs Entropy 127 8.2.1 Fundamental Relation of Thermodynamics and Thermodynamic Work 129 8.2.2 Relationship to Boltzmann Entropy 130 8.2.3 Third Law Revisited 131 8.3 Shannon Entropy 131 8.4 Fine and Coarse Grained Entropy 132 8.5 Entropy at the Nanoscale 133 8.6 Disorder and Uncertainty 134 Exercises 135
 9. Statistical Thermodynamics of the Classical Ideal Gas 137 9.1 Quantum Mechanics of a Particle in a Box 137 9.2 Densities of States 138 9.3 Partition Function of a OneParticle Gas 140 9.4 Distinguishable and Indistinguishable Particles 141 9.5 Partition Function of an NParticle Gas 145 9.6 Thermal Properties and Consistency with Classical Thermodynamics 146 9.7 Condition for Classical Behaviour 147 Exercises 149
 10. Quantum Gases 151 10.1 Spin and Wavefunction Symmetry 151 10.2 Pauli Exclusion Principle 152 10.3 Phenomenology of Quantum Gases 153 Exercises 154
 11. Boson Gas 155 11.1 Grand Partition Function for Bosons in a Single Particle State 155 11.2 BoseEinstein Statistics 156 11.3 Thermal Properties of a Boson Gas 158 11.4 BoseEinstein Condensation 161 11.5 Cooper Pairs and Superconductivity 166 Exercises 167
 12. Fermion Gas 169 12.1 Grand Partition Function for Fermions in a Single Particle State 169 12.2 FermiDirac Statistics 170 12.3 Thermal Properties of a Fermion Gas 171 12.4 MaxwellBoltzmann Statistics 173 12.5 The Degenerate Fermion Gas 176 12.6 Electron Gas in Metals 177 12.7 White Dwarfs and the Chandrasekhar Limit 179 12.8 Neutron Stars 182 12.9 Entropy of a Black Hole 183 Exercises 184
 13. Photon Gas 187 13.1 Electromagnetic Waves in a Box 187 13.2 Partition Function of the Electromagnetic Field 189 13.3 Thermal Properties of a Photon Gas 191 13.3.1 Planck Energy Spectrum of BlackBody Radiation 191 13.3.2 Photon Energy Density and Flux 193 13.3.3 Photon Pressure 193 13.3.4 Photon Entropy 194 13.4 The Global Radiation Budget and Climate Change 195 13.5 Cosmic Background Radiation 197 Exercises 198
 14. Statistical Thermodynamics of Interacting Particles 201 14.1 Classical Phase Space 201 14.2 Virial Expansion 203 14.3 Harmonic Structures 206 14.3.1 Triatomic Molecule 207 14.3.2 Einstein Solid 208 14.3.3 Debye Solid 209 Exercises 211
 15. Thermodynamics away from Equilibrium 213 15.1 Nonequilibrium Classical Thermodynamics 213 15.1.1 Energy and Particle Currents and their Conjugate Thermodynamic Driving Forces 213 15.1.2 Entropy Production in Constrained and Evolving Systems 218 15.2 Nonequilibrium Statistical Thermodynamics 220 15.2.1 Probability Flow and the Principle of Equal a Priori Probabilities 220 15.2.2 The Dynamical Basis of the Principle of Entropy Maximisation 222 Exercises 223
 16. The Dynamics of Probability 225 16.1 The Discrete Random Walk 225 16.2 Master Equations 226 16.2.1 Solution to the Random Walk 228 16.2.2 Entropy Production during a Random Walk 229 16.3 The Continuous Random Walk and the FokkerPlanck Equation 230 16.3.1 Wiener Process 232 16.3.2 Entropy Production in the Wiener Process 233 16.4 Brownian Motion 235 16.5 Transition Probability Density for a Harmonic Oscillator 236 Exercises 238
 17. Fluctuation Relations 241 17.1 Forward and Backward Path Probabilities: a Criterion for Equilibrium 241 17.2 Time Asymmetry of Behaviour and a Definition of Entropy Production 243 17.3 The Relaxing Harmonic Oscillator 245 17.4 Entropy Production Arising from a Single Random Walk 247 17.5 Further Fluctuation Relations 249 17.6 The Fundamental Basis of the Second Law 253 Exercises 253
 18. Final Remarks 255 Further Reading 261 Index 263.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Artini, Cristina, author.
 First edition.  Boca Raton, FL : CRC Press, 2017.
 Description
 Book — 1 online resource (367 pages)
 Summary

 part PART 1: MODELING TECHNIQUES AND PREDICTION OF PROPERTIES
 chapter 1 1: Computational Thermodynamics: From Experiments to Applications
 chapter 1 2: Thermophysical Properties of Metallic Alloys from Ab Initio Methods and Applications to Thermodynamic Modeling
 chapter 1 3: The Formation Volume in Rare Earth Intermetallic Systems: A Representation by Means of Atomic Physical Quantities
 part PART 2: ROLE OF MODELING ON THE DESIGN OF ALLOYS AND INTERMETALLIC COMPOUNDS
 chapter 2 1: MetalCeramic Interactions in Brazing Ultra High Temperature Diboride Ceramics
 chapter 2 2: Metal Surfaces in Medicine: Current Knowledge of Properties, Modeling and Biological Response
 chapter 2 3: Febased Superconductors: Crystallochemistry, Band Structure and Phase Diagrams
 chapter 2 4: Electronic and Magnetic Properties of Highly Disordered Febased Frank KasperPhases in View of First Principles Calculation and Experimental Study
 chapter 2 5: Atomistic Modeling to Design Favoured Compositions for the Metallic Glass Formation / J.B. Liu, J.H. Li and B.X. Liu
 chapter 2 6: Shape Memory Alloys: Constitutive Modeling and Engineering Simulations / G. Scalet
 chapter 2 7: Prediction of the Thermoelectric Properties of HalfHeusler Phases from the Density Functional Theory / V.V. Romaka, P.F. Rogl, R. Carlini and C. Fanciulli
 chapter 2 8: Skutterudites for Thermoelectric Applications: Properties, Synthesis and Modeling / R. Carlini, C. Fanciulli, P. Boulet, M.C. Record, V.V. Romaka.
(source: Nielsen Book Data)
 Lappa, Marcello.
 Hoboken, New Jersey : Wiley, 2012.
 Description
 Book — 1 online resource.
 Summary

 Equations, General Concepts and Nondimensional Numbers
 RayleighB̌nard Convection with Rotation
 Spherical Shells, Rossby Waves and Centrifugally Driven Thermal Convection
 The Baroclinic Problem
 The QuasiGeostrophic Theory
 Planetary Patterns
 SurfaceTensionDriven Flows in Rotating Fluids
 Crystal Growth from the Melt and Rotating Machinery
 Rotating Magnetic Fields
 Angular Vibrations and Rocking Motions.
(source: Nielsen Book Data)
 Montessori, Andrea, author.
 San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018] Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]
 Description
 Book — 1 online resource (various pagings) : illustrations (chiefly color).
 Summary

 Preface Acknowledgments Author biographies
 1. Introduction
 2. The lattice Boltzmann equation for complex flows
 3. Lattice schemes for multiphase and multicomponent flows: theory and applications
 4. Lattice Boltzmann models for fluidstructure interaction problems
 5. Extended lattice Boltzmann model for rarefied nonequilibrium flows in porous media
 6. Lattice Boltzmann approach to reactive flows in nanoporous catalysts
 7. Lattice Boltzmann model for water transport inside subnano graphene membranes.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Giampaolo, Tony, 1939
 Second edition.  New York : River Publishers, 2023.
 Description
 Book — 1 online resource
 Summary

This book examines the full spectrum of compressor types, how they operate, how to control them, and how operating conditions can significantly impact their performance. Discussed in detail are the influence of pressure, temperature, molecular weight, specific heat ratio, compression ratio, speed, vane position, and volume bottles. The various methods of throughput control are also addressed, including discharge throttling, suction throttling, guide pain positioning, volume, bottles, suction valve unloaders, speed control, as well as how each of these control methods affects compressor life. Compressor surge is defined and discussed in detail, along with the types of instrumentation (controllers, valves, pressure, and temperature transmitters) available, and which of those are most suitable for controlling search. Case studies have been included to illustrate the principles covered in the text. This edition also includes detailed information on compressor seals. Various types of seals providing the best results for different applications are discussed, thereby giving the reader a basic understanding of seals serotypes and applications.
 Online
17. Twophase flow [2017]
 [Place of publication not identified] : Routledge, 2017.
 Description
 Book — 1 online resource (512 pages)
 Summary

 1. Review of SinglePhase Flow 1.1 Basic Fluid Flow Concepts 1.2 Flow Field Descriptions 1.3 Conservation Laws 1.4 Turbulence 1.5 Solution Techniques 1.6 Homework Problem Assignments
 2. Basic Concepts of TwoPhase Flow Theory 2.1 Flow Regime Classifications and Modeling Approaches 2.2 Dispersed Flow Definitions, Phase Properties and Phase Coupling 2.3 Mass, Momentum and Heat Transfer 2.4 Statistical Descriptions 2.5 Highlights of Industrial Dispersed Flows 2.6 Homework Problem Assignments
 3. Derivations of TwoPhase Flow Modelling Equations 3.1 Averaging Techniques and Constitutive Equations 3.2 Mixture Models 3.3 Separated Flow Models 3.4 Problem Assignments
 4. Analyses and Solutions of Basic TwoPhase Flow Problems 4.1 Numerical Solution Tools 4.2 Mixture Flow Applications 4.3 Particle Trajectory Dynamics 4.4 TwoFluid Model Applications 4.5 Project Assignments
 5. Selected Case Studies 5.1 Mathematical Modeling, Computer Simulation and Virtual Prototyping 5.2 QuasiHomogeneous Equilibrium Flows (EULER) 5.3 Separated Flows
 1: Fluid Particle Models (EULER_Lagrange) 5.4 Separated Flows
 2: TwoFluid Models (EULEREULER) Appendicies.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Oakville : Apple Academic Press, Incorporated Oct. 2016 Abingdon : Taylor & Francis Group [Distributor]
 Description
 Book — 1 online resource.
 Summary

 Chapter 1 Controlling the Stability of Fluid Jet in the Electrospinning of Fibers: Mathematical Modeling
 chapter 2 Updates to Control Fluid Jet in Electrospinning Process Using Taguchi's Experimental Design
 chapter 3 Mechanical and Physical Properties of Electrospun Nanofibers: An Engineering Insight
 chapter 4 Numerical Modeling for Homogeneous and Stratified Flows: From Theory to Practice
 chapter 5 NonRevenue Water: Some Practical Hints / Kaveh Hariri Asli
 chapter 6 ThreeDimensional Heat Transfer and Water Flow Modeling / Kaveh Hariri Asli
 chapter 7 NonLinear Modeling for NonRevenue Water / Kaveh Hariri Asli
 chapter 8 Unaccountedfor Water of a Water System: Some Computational Aspects
 chapter 9 Water Distribution Network Analysis: From Theory to Practice / Kaveh Hariri Asli
 chapter 10 Application of Reneker's Mathematical Model to Optimize Electrospinning Process
 chapter 11 MixedMode Delamination in Layered Isotropic and Laminated Composite Beam Structures
 chapter 12 Crack Parameter Identification in Elastic Plate Structures Based on Remote Strain Fields and Solution of Inverse Problems
 chapter 13 Fracture Energy of Steel FiberReinforced HighStrength Concrete Beams
 chapter 14 Structural Characterization and Mechanical Behavior of Carbon NanotubeReinforced Aluminum Matrix CompositeA Review.
(source: Nielsen Book Data)
 Revankar, Shripad, author.
 Hoboken : CRC Press, 2014
 Description
 Book — 1 online resource (714 pages)
 Summary

 Front Cover; Contents; Preface; Acknowledgments; Authors;
 Chapter 1: Introduction;
 Chapter 2: Review of Electrochemistry;
 Chapter 3: Reviews of Thermodynamics;
 Chapter 4: Thermodynamics of Fuel Cells;
 Chapter 5: Electrochemical Kinetics;
 Chapter 6: Heat and Mass Transfer in Fuel Cells;
 Chapter 7: Charge and Water Transport in Fuel Cells;
 Chapter 8: Fuel Cell Characterization;
 Chapter 9: Fuel Cell Components and Design;
 Chapter 10: Fuel Cell Stack, Bipolar Plate, and Gas Flow Channel;
 Chapter 11: Simulation Model for Analysis and Design of Fuel Cells
 Chapter 12: Dynamic Simulation and Fuel Cell Control System
 Chapter 13: Fuel Cell Power Generation Systems;
 Chapter 14: Fuel Cell Application, Codes and Standards, and Environmental Effects; Nomenclature; Appendix A: Constants and Conversion Units; Appendix B: Useful Equations for Fuel Cell Calculations; Appendix C: Chemical and Thermodynamic Data; Back Cover
 Kadic, Enes, 1973
 Hoboken, New Jersey : Wiley, 2014.
 Description
 Book — 1 online resource.
 Summary

 1 INTRODUCTION 1
 2 MODES OF OPERATION 3 2.1 Batch Bioreactors 3 2.2 Continuous Bioreactors 9 2.3 Summary 15
 3 GASLIQUID MASS TRANSFER MODELS 17
 4 EXPERIMENTAL MEASUREMENT TECHNIQUES 28 4.1 Measuring Bioreactor Hydrodynamic Characteristics 28 4.1.1 Flow regime measurements 29 4.1.2 Local pressure drop 30 4.1.3 Mixing or residence time 32 4.1.4 Axial diffusion coefficient 33 4.1.5 Gasliquid interfacial area 34 4.1.6 Bubble size and velocity 35 4.1.7 Global and local liquid velocity 37 4.1.8 Gas holdup 40 4.1.8.1 Bed expansion 41 4.1.8.2 Pressure drop measurements 41 4.1.8.3 Dynamic gas disengagement (DGD) 46 4.1.8.4 Tomographic techniques 47 4.1.9 Liquid holdup 50 4.1.10 Power measurements 51 4.2 GasLiquid Mass Transfer 53 4.2.1 Dissolved oxygen measurement techniques 54 4.2.1.1 Chemical method 54 4.2.1.2 Volumetric method 56 4.2.1.3 Tubing method 56 4.2.1.4 Optode method 57 4.2.1.5 Electrochemical electrode method 58 4.2.1.5.1 Polarographic electrodes 59 4.2.1.5.2 Galvanic probes 61 4.2.1.5.3 Electrochemical electrode time constant 61 4.2.1.5.4 Electrochemical electrode response time ( e) 64 4.2.1.5.5 Electrochemical electrode response models 66 4.2.1.5.6 Summary of electrochemical electrode response models 72 4.2.2 Dissolved carbon monoxide measurements 72 4.2.2.1 Bioassay overview 74 4.2.2.2 Needed materials 75 4.2.2.3 Liquid sample collection 76 4.2.2.4 Identifying the concentrated myoglobin solution concentration 77 4.2.2.5 Sample preparation for analysis 78 4.2.2.6 Determining the dissolved CO concentration 79 4.2.3 Determining volumetric gasliquid mass transfer coefficient, kLa 80 4.2.3.1 Gas balance method 81 4.2.3.2 Dynamic method 82 4.2.3.2.1 Biological dynamic method 82 4.2.3.2.2 Nonbiological dynamic method 85 4.2.3.2.3 Variations of the inlet step change 86 4.2.3.2.4 Dynamic method drawbacks 91 4.2.3.3 Chemical sorption methods 92 4.2.3.3.1 Sulfite oxidation method 92 4.2.3.3.2 The hydrazine method 94 4.2.3.3.3 Peroxide method 95 4.2.3.3.4 Carbon dioxide absorption method 95 4.3 Summary 95
 5 MODELING BIOREACTORS 97 5.1 Multiphase Flow CFD Modeling 97 5.1.1 Governing equations for gasliquid flows 100 5.1.2 Turbulence modeling 101 5.1.3 Interfacial momentum exchange 104 5.1.4 Bubble pressure model 105 5.1.5 Bubbleinduced turbulence 106 5.1.6 Modeling bubble size distribution 107 5.2 Biological Process Modeling 109 5.2.1 Simple bioprocess models 111 5.3 Summary 113
 6 STIRRED TANK BIOREACTORS 114 6.1 Introduction 114 6.2 Stirred Tank Reactor Flow Regimes 116 6.2.1 Radial Flow Impellers 117 6.2.2 Axial Flow Impellers 122 6.3 Effects of Impeller Design and Arrangement 127 6.3.1 Radial Flow Impellers 129 6.3.2 Axial flow impellers 134 6.3.3 Multiple Impeller Systems 139 6.3.4 Surface Aeration 148 6.3.5 SelfInducing Impellers 150 6.4 Superficial Gas Velocity 152 6.5 Power Input 155 6.6 Baffle Design 158 6.7 Sparger Design 161 6.7.1 Axial Flow Impellers 162 6.7.2 Radial Flow Impellers 164 6.8 Microbial Cultures 165 6.9 Correlation Forms 172 6.10 Summary 184
 7 BUBBLE COLUMN BIOREACTORS 191 7.1 Introduction 191 7.2 Flow Regimes 194 7.3 Column Geometry 202 7.3.1 Column Diameter 202 7.3.2 Unaerated Liquid Height 205 7.3.3 Aspect Ratio 206 7.4 Other Operating Conditions 207 7.4.1 Pressure 207 7.4.2 Temperature 210 7.4.3 Viscosity 212 7.4.4 Surface Tension and Additives 213 7.5 Gas Distributor Design 215 7.6 Correlations 221 7.7 Needed Bubble Column Research 226 7.8 Summary 227
 8 AIRLIFT BIOREACTORS 243 8.1 Introduction 243 8.2 Circulation Regimes 247 8.3 Configuration 253 8.3.1 Bioreactor Height 255 8.3.2 Area Ratio 258 8.3.3 Gas Separator 261 8.3.4 InternalLoop Airlift Bioreactor 266 8.3.5 ExternalLoop Airlift Bioreactor 268 8.4 Sparger Design 272 8.5 Correlations 277 8.6 Needed Research 280 8.7 Summary 284
 9 FIXED BED BIOREACTORS 295 9.1 Introduction 295 9.2 Column Geometry and Components 299 9.3 Flow Regime 307 9.4 Liquid Properties 314 9.5 Packing Material 316 9.5.1 Random Packing 319 9.5.2 Structured Packing 321 9.6 Biological Considerations 324 9.7 Correlations 325 9.8 Needed Research 327 9.9 Summary 328
 10 NOVEL BIOREACTORS 333 10.1 Introduction 333 10.2 Novel BubbleInduced Flow Designs 333 10.3 Miniaturized Bioreactors 341 10.3.1 Microreactors 343 10.3.2 Nanoreactors 348 10.4 Membrane Reactor 349 10.5 Summary 353
 11 FIGURES OF MERIT 355
 12 CONCLUDING REMARKS 363
 13 NOMENCLATURE 367 Abbreviations 375 Greek Symbols 377 Dimensionless numbers 379
 14 BIBLIOGRAPHY 382.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
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