The Classical Stefan Problem

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 problems Bridges physics and mathematics in a concrete and readable way Presents well-organized chapters that start with proper definitions that are followed by explanations and end with references for further reading Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems

Produk Detail:

  • Author : S. C. Gupta
  • Publisher : Elsevier
  • Pages : 550 pages
  • ISBN : 9780444635815
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKThe Classical Stefan Problem

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S. C. Gupta
  • Publisher : Elsevier
  • Release : 01 May 2017
GET THIS BOOKThe Classical Stefan Problem

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

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Release : 27 July 2017
GET THIS BOOKThe Classical Stefan Problem

The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides the fundamental theory, concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems as 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, and is thoroughly enriched with many appropriate references for

The Classical Stefan Problem

The Classical Stefan Problem
  • Author : S.C. Gupta
  • Publisher : Elsevier
  • Release : 22 October 2003
GET THIS BOOKThe Classical Stefan Problem

This volume emphasises studies related to classical Stefan problems. The term "Stefan problem" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics and engineering also exhibit characteristics similar to them. The term ``classical" distinguishes the formulation of these problems from their weak formulation, in which the solution need not possess classical derivatives.

The Stefan Problem

The Stefan Problem
  • Author : A.M. Meirmanov
  • Publisher : Walter de Gruyter
  • Release : 01 January 1992
GET THIS BOOKThe Stefan Problem

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board

On the Two-Phase Stefan Problem with Interfacial Energy and Entropy

On the Two-Phase Stefan Problem with Interfacial Energy and Entropy
  • Author : Morton E. Gurtin,WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
  • Publisher : Unknown Publisher
  • Release : 20 September 1985
GET THIS BOOKOn the Two-Phase Stefan Problem with Interfacial Energy and Entropy

The classical Stefan theory for the melting of a solid or the freezing of a liquid is too simplistic to describe phenomena such as supercooling, in which a liquid supports temperatures below its freezing point, or superheating, the analog for solids, or dendritic growth, in which simple shapes evolve to complicated tree-like structures. This paper develops a general theory for two-phase phenomena of this type. It develops partial differential equations satisfied in the phase regions and free-boundary conditions satisfied on

Models of Phase Transitions

Models of Phase Transitions
  • Author : Augusto Visintin
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKModels of Phase Transitions

... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put

Some Remarks on the Stefan Problem with Surface Structure

Some Remarks on the Stefan Problem with Surface Structure
  • Author : Morton E. Gurtin,H. Mete Soner
  • Publisher : Unknown Publisher
  • Release : 20 September 1990
GET THIS BOOKSome Remarks on the Stefan Problem with Surface Structure

Abstract: "This paper discusses a generalized Stefan problem which allows for supercooling and superheating and for capillarity in the interface between phases. Simple solutions are obtained indicating the chief differences between this problem and the classical Stefan problem. A weak formulation of the general problem is given."

The One-Dimensional Heat Equation

The One-Dimensional Heat Equation
  • Author : John Rozier Cannon
  • Publisher : Cambridge University Press
  • Release : 28 December 1984
GET THIS BOOKThe One-Dimensional Heat Equation

This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.

Mathematical Modeling Of Melting And Freezing Processes

Mathematical Modeling Of Melting And Freezing Processes
  • Author : V. Alexiades
  • Publisher : Routledge
  • Release : 02 May 2018
GET THIS BOOKMathematical Modeling Of Melting And Freezing Processes

This reference book presents mathematical models of melting and solidification processes that are the key to the effective performance of latent heat thermal energy storage systems (LHTES), utilized in a wide range of heat transfer and industrial applications. This topic has spurred a growth in research into LHTES applications in energy conservation and utilization, space station power systems, and thermal protection of electronic equipment in hostile environments. Further, interest in mathematical modeling has increased with the speread of high powered

Free and Moving Boundary Problems

Free and Moving Boundary Problems
  • Author : John Crank,J. Crank
  • Publisher : Oxford University Press, USA
  • Release : 20 September 1984
GET THIS BOOKFree and Moving Boundary Problems

Here is a wide-ranging, comprehensive account of the mathematical formulation of problems involving free boundaries as they occur in such diverse areas as hydrology, metallurgy, chemical engineering, soil science, molecular biology, materials science, and steel and glass production. Many newmethods of solution are discussed, including modern computer techniques which address multidimensional, multiphase practical problems.

Some Remarks on the Stefan Problem with Surface Structure. Stability and Thermal Influences in Nonlinear Continuum Mechanics

Some Remarks on the Stefan Problem with Surface Structure. Stability and Thermal Influences in Nonlinear Continuum Mechanics
  • Author : Anonim
  • Publisher : Unknown Publisher
  • Release : 20 September 1990
GET THIS BOOKSome Remarks on the Stefan Problem with Surface Structure. Stability and Thermal Influences in Nonlinear Continuum Mechanics

This paper discusses a generalized Stefan problem which allows for supercooling and superheating and for capillarity in the interface between phases. Simple solutions are obtained indicating the chief differences between this problem and the classical Stefan problem. A weak formulation of the general problem is given.

Variational and Free Boundary Problems

Variational and Free Boundary Problems
  • Author : Avner Friedman,Joel Spruck
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKVariational and Free Boundary Problems

This IMA Volume in Mathematics and its Applications VARIATIONAL AND FREE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries. " The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L.