The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis, Second Edition, provides the fundamental theoretical concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems applied to heat transfer problems with phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics, and functional analysis. The text is enriched with many appropriate references for in-depth background reading on theorems. Each chapter begins with basic concepts, objectives, and the directions in which the subject matter has developed. This is followed by detailed reviews of published works. This updated edition is fully revised, and contains more than 150 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. Provides both the phenomenology and mathematics of Stefan problemsBridges physics and mathematics in a concrete and readable wayPresents well-organized chapters that start with proper definitions that are followed by explanations and end with references for further readingIncludes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems INDICE: 1. The Stefan Problem and Its Classical Formulation2. Thermodynamical and Metallurgical Aspects of Stefan Problems3. Extended Classical Formulations of n-phase Stefan Problems with n>1 4. Stefan Problem with Supercooling: Classical Formulation and Analysis5. Superheating Due to Volumetric Heat Sources: Formulation and Analysis6. Steady-State and Degenerate Classical Stefan Problems7. Elliptic and Parabolic Variational Inequalities8. The Hyperbolic Stefan Problem9. Inverse Stefan Problems10. Analysis of the Classical Solutions of Stefan Problems11. Regularity of the Weak Solutions of Some Stefan Problems12. Quasi-Analytical Solutions and Methods

• ISBN: 978-0-444-63581-5
• Editorial: Elsevier
• Encuadernacion: Rústica
• Páginas: 550
• Fecha Publicación: 01/05/2017
• Nº Volúmenes: 1
• Idioma: Inglés