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The method of weighted residuals and variational principles : with application in fluid mechanics, heat and mass transfer /
The method of weighted residuals and variational principles, with application in fluid mechanics, heat and mass transfer.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1972.
|
| Colección: | Mathematics in science and engineering ;
v. 87. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Finlayson, Bruce A. | |
| 245 | 1 | 4 | |a The method of weighted residuals and variational principles : |b with application in fluid mechanics, heat and mass transfer / |c Bruce A. Finlayson. |
| 260 | |a New York : |b Academic Press, |c 1972. | ||
| 300 | |a 1 online resource (xiv, 412 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 87 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; The Method of Weighted Residuals and Variational Principles; Copyright Page; Contents; Preface; Acknowledgments; PART I: THE METHOD OF WEIGHTED RESIDUALS; Chapter 1. Introduction; 1.1 Basic Equations and Their Classification; 1.2 Method of Weighted Residuals; References; Chapter 2. Boundary-Value Problems in Heat and Mass Transfer; 2.1 One-Dimensional Heat Conduction; 2.2 Reduction to Ordinary Differential Equations; 2.3 Boundary Methods; 2.4 General Treatment of Steady-State Heat Conduction; 2.5 Mass Transfer from a Sphere; 2.6 Choice of Trial Functions; Exercises; References | |
| 505 | 8 | |a Chapter 3. Eigenvalue and Initial-Value Problems in Heat and Mass Transfer3.1 Eigenvalue Problems; 3.2 Transient Heat and Mass Transfer; 3.3 Entry-Length and Initial-Value Problems; 3.4 Mass Transfer to a Moving Fluid; 3.5 Heat Transfer Involving a Phase Change; Exercises; References; Chapter 4. Applications to Fluid Mechanics; 4.1 Laminar Flow in Ducts; 4.2 Boundary Layer Flow past a Flat Plate; 4.3 Laminar Boundary Layers; 4.4 Natural Convection; 4.5 Coupled Entry-Length Problems; 4.6 Steady-State Flow Problems; Exercises; References; Chapter 5. Chemical Reaction Systems | |
| 505 | 8 | |a 5.1 Orthogonal Collocation5.2 Unsteady Diffusion; 5.3 Reaction and Diffusion in a Catalyst Particle; 5.4 Tubular Reactor with Axial Dispersion; 5.5 Packed Bed Reactor with Radial Dispersion; 5.6 Relation to Other Techniques: Galerkin, Least Squares, Finite Difference, Finite Element Methods; Exercises; References; Chapter 6. Convective Instability Problems; 6.1 Choice of Trial Functions; 6.2 Application of the Galerkin Method; 6.3 Time-Dependent Motion; 6.4 Variational Methods; 6.5 Nonlinear Convective Instability; 6.6 Hydrodynamic Stability; Exercises; References | |
| 505 | 8 | |a PART II: VARIATIONAL PRINCIPLESChapter 7. Introduction to Variational Principles; 7.1 Calculus of Variations; 7.2 Steady-State Heat Conduction; 7.3 Laminar Flow through Ducts; 7.4 Relation to Galerkin and Finite Element Methods; 7.5 Variational Principles for Eigenvalue Problems; 7.6 Enclosure Theorems; 7.7 Least Squares Interpretation of D.H. Weinstein's Method; 7.8 Lower Bounds for Eigenvalues; Exercises; References; Chapter 8. Variational Principles in Fluid Mechanics; 8.1 Basic Equations; 8.2 Variational Principles for Perfect Fluids; 8.3 Magnetohydrodynamics; 8.4 Non-Newtonian Fluids | |
| 505 | 8 | |a 8.5 Slow Flow past Drops and Particles8.6 Variational Principles for Navier-Stokes Equations; 8.7 Energy Methods for Stability of Fluid Motion; Exercises; References; Chapter 9. Variational Principles for Heat and Mass Transfer Problems; 9.1 Fréchet Derivatives; 9.2 Variational Principles for Non-Self-Adjoint Equations; 9.3 Variational Principles for the Transport Equation; 9.4 Applications to Heat Transfer; 9.5 Applications to Mass Transfer; 9.6 Upper Bound for Heat Transport by Turbulent Convection; Exercises; References; Chapter 10. On the Search for Variational Principles | |
| 520 | |a The method of weighted residuals and variational principles, with application in fluid mechanics, heat and mass transfer. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Differential equations |x Numerical solutions. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 6 | |a Équations différentielles |x Solutions numériques. | |
| 650 | 6 | |a Théorie de l'approximation. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Approximation theory |2 fast | |
| 650 | 7 | |a Differential equations |x Numerical solutions |2 fast | |
| 650 | 7 | |a Matematica Aplicada. |2 larpcal | |
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| 830 | 0 | |a Mathematics in science and engineering ; |v v. 87. | |
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