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

Gupta, S.C.
Heftet / 2017 / Engelsk

Produktdetaljer

ISBN
9780444635815
Publisert
2017-10-13
Utgave
2. utgave
Utgiver
Elsevier Science & Technology
Vekt
1050 gr
Høyde
229 mm
Bredde
152 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
750

Forfatter
Gupta, S.C.

Biografisk notat

Professor S.C. Gupta retired in 1997 from the Department of Mathematics, Indian Institute of Science, Bangalore, India. He holds a PhD in Solid Mechanics and a DSc in “Analytical and Numerical Solutions of Free Boundary Problems.” His areas of research are inclusion and inhomogeneity problems, thermoelasticity, numerical computations, analytical and numerical solutions of free boundary problems and Stefan problems. He has published numerous articles in reputed international journals in many areas of his research.

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

Gupta, S.C.
Heftet / 2017 / Engelsk
Gupta, S.C.
Heftet / 2017 / Engelsk
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"This book cannot be treated as easy reading. To fully understand its content, one must have enough knowledge in physics and must be some kind of expert in mathematics. Of course, it is not a disadvantage of the book, but an essential feature of the discussed topic. Summing up, it might be said that the book under review is an impressing monograph con taining up-to-date results in an important branch of mathematical physics." --Zentralblatt MATH

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides fundamental theory, concepts, modelling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems involving 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, and is thoroughly enriched with many appropriate references for an in-depth background reading on theorems. This new edition includes more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems.
Les mer
1. The Stefan Problem and Its Classical Formulation 2. Thermodynamical and Metallurgical Aspects of Stefan Problems 3. Extended Classical Formulations of n-phase Stefan Problems with n>1 4. Stefan Problem with Supercooling: Classical Formulation and Analysis 5. Superheating Due to Volumetric Heat Sources: Formulation and Analysis 6. Steady-State and Degenerate Classical Stefan Problems 7. Elliptic and Parabolic Variational Inequalities 8. The Hyperbolic Stefan Problem 9. Inverse Stefan Problems 10. Analysis of the Classical Solutions of Stefan Problems 11. Regularity of the Weak Solutions of Some Stefan Problems 12. Quasi-Analytical Solutions and Methods
Les mer
This fully revised reference examines fundamental theoretical concepts, modeling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of Stefan problems
Fully-revised reference that provides theoretical concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of Stefan problems
Provides both the phenomenology and mathematics of Stefan problems Bridges physics and mathematics in a concrete and readable manner Presents well-organized chapters that start with proper definitions followed by explanations and references for further reading Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems
Les mer

Relaterte produkter

"This book cannot be treated as easy reading. To fully understand its content, one must have enough knowledge in physics and must be some kind of expert in mathematics. Of course, it is not a disadvantage of the book, but an essential feature of the discussed topic. Summing up, it might be said that the book under review is an impressing monograph con taining up-to-date results in an important branch of mathematical physics." --Zentralblatt MATH

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides fundamental theory, concepts, modelling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems involving 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, and is thoroughly enriched with many appropriate references for an in-depth background reading on theorems. This new edition includes more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems.
Les mer
1. The Stefan Problem and Its Classical Formulation 2. Thermodynamical and Metallurgical Aspects of Stefan Problems 3. Extended Classical Formulations of n-phase Stefan Problems with n>1 4. Stefan Problem with Supercooling: Classical Formulation and Analysis 5. Superheating Due to Volumetric Heat Sources: Formulation and Analysis 6. Steady-State and Degenerate Classical Stefan Problems 7. Elliptic and Parabolic Variational Inequalities 8. The Hyperbolic Stefan Problem 9. Inverse Stefan Problems 10. Analysis of the Classical Solutions of Stefan Problems 11. Regularity of the Weak Solutions of Some Stefan Problems 12. Quasi-Analytical Solutions and Methods
Les mer
This fully revised reference examines fundamental theoretical concepts, modeling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of Stefan problems
Fully-revised reference that provides theoretical concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of Stefan problems
Provides both the phenomenology and mathematics of Stefan problems Bridges physics and mathematics in a concrete and readable manner Presents well-organized chapters that start with proper definitions followed by explanations and references for further reading Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems
Les mer

Produktdetaljer

ISBN
9780444635815
Publisert
2017-10-13
Utgave
2. utgave
Utgiver
Elsevier Science & Technology
Vekt
1050 gr
Høyde
229 mm
Bredde
152 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
750

Forfatter
Gupta, S.C.

Biografisk notat

Professor S.C. Gupta retired in 1997 from the Department of Mathematics, Indian Institute of Science, Bangalore, India. He holds a PhD in Solid Mechanics and a DSc in “Analytical and Numerical Solutions of Free Boundary Problems.” His areas of research are inclusion and inhomogeneity problems, thermoelasticity, numerical computations, analytical and numerical solutions of free boundary problems and Stefan problems. He has published numerous articles in reputed international journals in many areas of his research.

Relaterte produkter