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Applied mathematics for science and engineering / / Larry A. Glasgow
| Applied mathematics for science and engineering / / Larry A. Glasgow |
| Autore | Glasgow Larry A. <1950-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (259 p.) |
| Disciplina | 510 |
| Soggetto topico |
Engineering mathematics
Technology - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-75054-3
1-118-74976-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title page; Copyright page; Contents; Preface; 1: Problem Formulation and Model Development; Introduction; Algebraic Equations from Vapor-Liquid Equilibria (VLE); Macroscopic Balances: Lumped-Parameter Models; Force Balances: Newton's Second Law of Motion; Distributed Parameter Models: Microscopic Balances; Using the Equations of Change Directly; A Contrast: Deterministic Models and Stochastic Processes; Empiricisms and Data Interpretation; Conclusion; Problems; References; 2: Algebraic Equations; Introduction; Elementary Methods; Newton-Raphson (Newton's Method of Tangents)
Regula Falsi (False Position Method)Dichotomous Search; Golden Section Search; Simultaneous Linear Algebraic Equations; Crout's (or Cholesky's) Method; Matrix Inversion; Iterative Methods of Solution; Simultaneous Nonlinear Algebraic Equations; Pattern Search for Solution of Nonlinear Algebraic Equations; Algebraic Equations with Constraints; Conclusion; Problems; References; 3: Vectors and Tensors; Introduction; Manipulation of Vectors; Force Equilibrium; Equating Moments; Projectile Motion; Dot and Cross Products; Differentiation of Vectors; Gradient, Divergence, and Curl; Green's Theorem Stokes' TheoremConclusion; Problems; References; 4: Numerical Quadrature; Introduction; Trapezoid Rule; Simpson's Rule; Newton-Cotes Formulae; Roundoff and Truncation Errors; Romberg Integration; Adaptive Integration Schemes; Simpson's Rule; Gaussian Quadrature and the Gauss-Kronrod Procedure; Integrating Discrete Data; Multiple Integrals (Cubature); Monte Carlo Methods; Conclusion; Problems; References; 5: Analytic Solution of Ordinary Differential Equations; An Introductory Example; First-Order Ordinary Differential Equations; Nonlinear First-Order Ordinary Differential Equations Solutions with Elliptic Integrals and Elliptic FunctionsHigher-Order Linear ODEs with Constant Coefficients; Use of the Laplace Transform for Solution of ODEs; Higher-Order Equations with Variable Coefficients; Bessel's Equation and Bessel Functions; Power Series Solutions of Ordinary Differential Equations; Regular Perturbation; Linearization; Conclusion; Problems; References; 6: Numerical Solution of Ordinary Differential Equations; An Illustrative Example; The Euler Method; Modified Euler Method; Runge-Kutta Methods; Simultaneous Ordinary Differential Equations Some Potential Difficulties IllustratedLimitations of Fixed Step-Size Algorithms; Richardson Extrapolation; Multistep Methods; Split Boundary Conditions; Finite-Difference Methods; Stiff Differential Equations; Backward Differentiation Formula (BDF) Methods; Bulirsch-Stoer Method; Phase Space; Summary; Problems; References; 7: Analytic Solution of Partial Differential Equations; Introduction; Classification of Partial Differential Equations and Boundary Conditions; Fourier Series; A Preview of the Utility of Fourier Series; The Product Method (Separation of Variables); Parabolic Equations Elliptic Equations |
| Record Nr. | UNISA-996204357003316 |
Glasgow Larry A. <1950->
|
||
| Hoboken, New Jersey : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Applied mathematics for science and engineering / / Larry A. Glasgow
| Applied mathematics for science and engineering / / Larry A. Glasgow |
| Autore | Glasgow Larry A. <1950-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (259 pages) : illustrations |
| Disciplina | 510 |
| Soggetto topico |
Engineering mathematics
Technology - Mathematical models |
| ISBN |
1-118-74976-6
1-118-75054-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795817103321 |
|
Glasgow Larry A. <1950->
|
||
| Hoboken, New Jersey : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Applied mathematics for science and engineering / / Larry A. Glasgow
| Applied mathematics for science and engineering / / Larry A. Glasgow |
| Autore | Glasgow Larry A. <1950-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (259 pages) : illustrations |
| Disciplina | 510 |
| Soggetto topico |
Engineering mathematics
Technology - Mathematical models |
| ISBN |
1-118-74976-6
1-118-75054-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910821163603321 |
|
Glasgow Larry A. <1950->
|
||
| Hoboken, New Jersey : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Transport phenomena : an introduction to advanced topics / / Larry A. Glasgow
| Transport phenomena : an introduction to advanced topics / / Larry A. Glasgow |
| Autore | Glasgow Larry A. <1950-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2010 |
| Descrizione fisica | 1 online resource |
| Disciplina | 530.4/75 |
| Soggetto topico |
Energy transfer
Transport theory - Mathematics |
| ISBN |
9780470626603
0470626607 9780470626610 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
TRANSPORT PHENOMENA: An Introduction to Advanced Topics -- CONTENTS -- PREFACE -- 1 INTRODUCTION AND SOME USEFUL REVIEW -- 1.1 A MESSAGE FOR THE STUDENT -- 1.2 DIFFERENTIAL EQUATIONS -- 1.3 CLASSIFICATION OF PARTIAL DIFFERENTIAL EQUATIONS AND BOUNDARY CONDITIONS -- 1.4 NUMERICAL SOLUTIONS FOR PARTIAL DIFFERENTIAL EQUATIONS -- 1.5 VECTORS, TENSORS, AND THE EQUATION OF MOTION -- 1.6 THE MEN FOR WHOM THE NAVIER-STOKES EQUATIONS ARE NAMED -- 1.7 SIR ISAAC NEWTON -- REFERENCES -- 2 INVISCID FLOW: SIMPLIFIED FLUID MOTION -- 2.1 INTRODUCTION -- 2.2 TWO-DIMENSIONAL POTENTIAL FLOW -- 2.3 NUMERICAL SOLUTION OF POTENTIAL FLOW PROBLEMS -- 2.4 CONCLUSION -- REFERENCES -- 3 LAMINAR FLOWS IN DUCTS AND ENCLOSURES -- 3.1 INTRODUCTION -- 3.2 HAGEN-POISEUILLE FLOW -- 3.3 TRANSIENT HAGEN-POISEUILLE FLOW -- 3.4 POISEUILLE FLOW IN AN ANNULUS -- 3.5 DUCTS WITH OTHER CROSS SECTIONS -- 3.6 COMBINED COUETTE AND POISEUILLE FLOWS -- 3.7 COUETTE FLOWS IN ENCLOSURES -- 3.8 GENERALIZED TWO-DIMENSIONAL FLUID MOTION IN DUCTS -- 3.9 SOME CONCERNS IN COMPUTATIONAL FLUID MECHANICS -- 3.10 FLOW IN THE ENTRANCE OF DUCTS -- 3.11 CREEPING FLUID MOTIONS IN DUCTS AND CAVITIES -- 3.12 MICROFLUIDICS: FLOW IN VERY SMALL CHANNELS -- 3.12.1 Electrokinetic Phenomena -- 3.12.2 Gases in Microfluidics -- 3.13 FLOWS IN OPEN CHANNELS -- 3.14 PULSATILE FLOWS IN CYLINDRICAL DUCTS -- 3.15 SOME CONCLUDING REMARKS FOR INCOMPRESSIBLE VISCOUS FLOWS -- REFERENCES -- 4 EXTERNAL LAMINAR FLOWS AND BOUNDARY-LAYER THEORY -- 4.1 INTRODUCTION -- 4.2 THE FLAT PLATE -- 4.3 FLOW SEPARATION PHENOMENA ABOUT BLUFF BODIES -- 4.4 BOUNDARY LAYER ON A WEDGE: THE FALKNER-SKAN PROBLEM -- 4.5 THE FREE JET -- 4.6 INTEGRAL MOMENTUM EQUATIONS -- 4.7 HIEMENZ STAGNATION FLOW -- 4.8 FLOW IN THE WAKE OF A FLAT PLATE AT ZERO INCIDENCE -- 4.9 CONCLUSION -- REFERENCES -- 5 INSTABILITY, TRANSITION, AND TURBULENCE -- 5.1 INTRODUCTION.
5.2 LINEARIZED HYDRODYNAMIC STABILITY THEORY -- 5.3 INVISCID STABILITY: THE RAYLEIGH EQUATION -- 5.4 STABILITY OF FLOW BETWEEN CONCENTRIC CYLINDERS -- 5.5 TRANSITION -- 5.5.1 Transition in Hagen-Poiseuille Flow -- 5.5.2 Transition for the Blasius Case -- 5.6 TURBULENCE -- 5.7 HIGHER ORDER CLOSURE SCHEMES -- 5.7.1 Variations -- 5.8 INTRODUCTION TO THE STATISTICAL THEORY OF TURBULENCE -- 5.9 CONCLUSION -- REFERENCES -- 6 HEAT TRANSFER BY CONDUCTION -- 6.1 INTRODUCTION -- 6.2 STEADY-STATE CONDUCTION PROBLEMS IN RECTANGULAR COORDINATES -- 6.3 TRANSIENT CONDUCTION PROBLEMS IN RECTANGULAR COORDINATES -- 6.4 STEADY-STATE CONDUCTION PROBLEMS IN CYLINDRICAL COORDINATES -- 6.5 TRANSIENT CONDUCTION PROBLEMS IN CYLINDRICAL COORDINATES -- 6.6 STEADY-STATE CONDUCTION PROBLEMS IN SPHERICAL COORDINATES -- 6.7 TRANSIENT CONDUCTION PROBLEMS IN SPHERICAL COORDINATES -- 6.8 KELVIN'S ESTIMATE OF THE AGE OF THE EARTH -- 6.9 SOME SPECIALIZED TOPICS IN CONDUCTION -- 6.9.1 Conduction in Extended Surface Heat Transfer -- 6.9.2 Anisotropic Materials -- 6.9.3 Composite Spheres -- 6.10 CONCLUSION -- REFERENCES -- 7 HEAT TRANSFER WITH LAMINAR FLUID MOTION -- 7.1 INTRODUCTION -- 7.2 PROBLEMS IN RECTANGULAR COORDINATES -- 7.2.1 Couette Flow with Thermal Energy Production -- 7.2.2 Viscous Heating with Temperature-Dependent Viscosity -- 7.2.3 The Thermal Entrance Region in Rectangular Coordinates -- 7.2.4 Heat Transfer to Fluid Moving Past a Flat Plate -- 7.3 PROBLEMS IN CYLINDRICAL COORDINATES -- 7.3.1 Thermal Entrance Length in a Tube: The Graetz Problem -- 7.4 NATURAL CONVECTION: BUOYANCY-INDUCED FLUID MOTION -- 7.4.1 Vertical Heated Plate: The Pohlhausen Problem -- 7.4.2 The Heated Horizontal Cylinder -- 7.4.3 Natural Convection in Enclosures -- 7.4.4 Two-Dimensional Rayleigh-Benard Problem -- 7.5 CONCLUSION -- REFERENCES -- 8 DIFFUSIONAL MASS TRANSFER -- 8.1 INTRODUCTION. 8.1.1 Diffusivities in Gases -- 8.1.2 Diffusivities in Liquids -- 8.2 UNSTEADY EVAPORATION OF VOLATILE LIQUIDS: THE ARNOLD PROBLEM -- 8.3 DIFFUSION IN RECTANGULAR GEOMETRIES -- 8.3.1 Diffusion into Quiescent Liquids: Absorption -- 8.3.2 Absorption with Chemical Reaction -- 8.3.3 Concentration-Dependent Diffusivity -- 8.3.4 Diffusion Through a Membrane -- 8.3.5 Diffusion Through a Membrane with Variable D -- 8.4 DIFFUSION IN CYLINDRICAL SYSTEMS -- 8.4.1 The Porous Cylinder in Solution -- 8.4.2 The Isothermal Cylindrical Catalyst Pellet -- 8.4.3 Diffusion in Squat (Small L/d) Cylinders -- 8.4.4 Diffusion Through a Membrane with Edge Effects -- 8.4.5 Diffusion with Autocatalytic Reaction in a Cylinder -- 8.5 DIFFUSION IN SPHERICAL SYSTEMS -- 8.5.1 The Spherical Catalyst Pellet with Exothermic Reaction -- 8.5.2 Sorption into a Sphere from a Solution of Limited Volume -- 8.6 SOME SPECIALIZED TOPICS IN DIFFUSION -- 8.6.1 Diffusion with Moving Boundaries -- 8.6.2 Diffusion with Impermeable Obstructions -- 8.6.3 Diffusion in Biological Systems -- 8.6.4 Controlled Release -- 8.7 CONCLUSION -- REFERENCES -- 9 MASS TRANSFER IN WELL-CHARACTERIZED FLOWS -- 9.1 INTRODUCTION -- 9.2 CONVECTIVE MASS TRANSFER IN RECTANGULAR COORDINATES -- 9.2.1 Thin Film on a Vertical Wall -- 9.2.2 Convective Transport with Reaction at the Wall -- 9.2.3 Mass Transfer Between a Flowing Fluid and a Flat Plate -- 9.3 MASS TRANSFER WITH LAMINAR FLOW IN CYLINDRICAL SYSTEMS -- 9.3.1 Fully Developed Flow in a Tube -- 9.3.2 Variations for Mass Transfer in a Cylindrical Tube -- 9.3.3 Mass Transfer in an Annulus with Laminar Flow -- 9.3.4 Homogeneous Reaction in Fully Developed Laminar Flow -- 9.4 MASS TRANSFER BETWEEN A SPHERE AND A MOVING FLUID -- 9.5 SOME SPECIALIZED TOPICS IN CONVECTIVE MASS TRANSFER -- 9.5.1 Using Oscillatory Flows to Enhance Interphase Transport. 9.5.2 Chemical Vapor Deposition in Horizontal Reactors -- 9.5.3 Dispersion Effects in Chemical Reactors -- 9.5.4 Transient Operation of a Tubular Reactor -- 9.6 CONCLUSION -- REFERENCES -- 10 HEAT AND MASS TRANSFER IN TURBULENCE -- 10.1 INTRODUCTION -- 10.2 SOLUTION THROUGH ANALOGY -- 10.3 ELEMENTARY CLOSURE PROCESSES -- 10.4 SCALAR TRANSPORT WITH TWO-EQUATION MODELS OF TURBULENCE -- 10.5 TURBULENT FLOWS WITH CHEMICAL REACTIONS -- 10.5.1 Simple Closure Schemes -- 10.6 AN INTRODUCTION TO pdf MODELING -- 10.6.1 The Fokker-Planck Equation and pdf Modeling of Turbulent Reactive Flows -- 10.6.2 Transported pdf Modeling -- 10.7 THE LAGRANGIAN VIEW OF TURBULENT TRANSPORT -- 10.8 CONCLUSIONS -- REFERENCES -- 11 TOPICS IN MULTIPHASE AND MULTICOMPONENT SYSTEMS -- 11.1 GAS-LIQUID SYSTEMS -- 11.1.1 Gas Bubbles in Liquids -- 11.1.2 Bubble Formation at Orifices -- 11.1.3 Bubble Oscillations and Mass Transfer -- 11.2 LIQUID-LIQUID SYSTEMS -- 11.2.1 Droplet Breakage -- 11.3 PARTICLE FLUID SYSTEMS -- 11.3.1 Introduction to Coagulation -- 11.3.2 Collision Mechanisms -- 11.3.3 Self-Preserving Size Distributions -- 11.3.4 Dynamic Behavior of the Particle Size Distribution -- 11.3.5 Other Aspects of Particle Size Distribution Modeling -- 11.3.6 A Highly Simplified Example -- 11.4 MULTICOMPONENT DIFFUSION IN GASES -- 11.4.1 The Stefan-Maxwell Equations -- 11.5 CONCLUSION -- REFERENCES -- PROBLEMS TO ACCOMPANY TRANSPORT PHENOMENA: AN INTRODUCTION TO ADVANCED TOPICS -- APPENDIX A FINITE DIFFERENCE APPROXIMATIONS FOR DERIVATIVES -- APPENDIX B ADDITIONAL NOTES ON BESSEL'S EQUATION AND BESSEL FUNCTIONS -- APPENDIX C SOLVING LAPLACE AND POISSON (ELLIPTIC) PARTIAL DIFFERENTIAL EQUATIONS -- APPENDIX D SOLVING ELEMENTARY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS -- APPENDIX E ERROR FUNCTION -- APPENDIX F GAMMA FUNCTION -- APPENDIX G REGULAR PERTURBATION. APPENDIX H SOLUTION OF DIFFERENTIAL EQUATIONS BY COLLOCATION -- INDEX. |
| Record Nr. | UNINA-9910660206203321 |
|
Glasgow Larry A. <1950->
|
||
| Hoboken, N.J., : Wiley, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||