The Classical Stefan Problem

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

Download or Read online The Classical Stefan Problem full in PDF, ePub and kindle. this book written by S. C. Gupta and published by Elsevier which was released on 01 May 2017 with total page 550 pages. We cannot guarantee that The Classical Stefan Problem book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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

The Classical Stefan Problem

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

The Classical Stefan Problem

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

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
  • Release : 21 June 1990
GET THIS BOOK Some 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."

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
  • Release : 21 June 1990
GET THIS BOOK Some 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.

Stefan s Problem

Stefan s Problem
  • Author : S. L. Kamenomostskaya,COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER N H.
  • Publisher : Unknown
  • Release : 21 June 1971
GET THIS BOOK Stefan s Problem

In the present work Stefan's problem in its general sense (multidimensional case, arbitrary number of initially unknown phase boundary surfaces, a thermal coefficient dependence of the phase on temperature) is analyzed. A determination of the general solution of the problem is introduced and it is shown, that the classical solution of the problem is general (theorem 1). Using the method of iniite differences the existence of solutions of the edge problem and the Cauchy problem are shown for an arbitrary segment

Models of Phase Transitions

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

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
  • Release : 21 June 1985
GET THIS BOOK On 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

A Singular Free Boundary Problem

A Singular Free Boundary Problem
  • Author : Klaus Höllig,John A. Nohel
  • Publisher : Unknown
  • Release : 21 June 1983
GET THIS BOOK A Singular Free Boundary Problem

The Cauchy problem is similar to the well-known one phase Stefan problem (inone space dimension). In the latter one would assume g(x) = -1 for x 0, as well as g(x) 0 for x> 0, so that g would have a jump discontinuity at x = 0. Our assumptions on the initial data g yield a different behavior of the solution v and of the resulting free boundary. Indeed, the free boundary is not (infinitely) differentiable at t = 0, contrary to the situation for the

Thermomechanics and the Formulation of the Stefan Problem for Fully Faceted Interfaces

Thermomechanics and the Formulation of the Stefan Problem for Fully Faceted Interfaces
  • Author : Morton E. Gurtin,Jose Matias
  • Publisher : Unknown
  • Release : 21 June 1993
GET THIS BOOK Thermomechanics and the Formulation of the Stefan Problem for Fully Faceted Interfaces

Abstract: "This paper develops a thermomechanics of two-phase heat conductors in which the interface between phases is fully faceted. The theory is based on balance of forces, balance of energy, and growth of entropy in conjunction with constitutive equations for the interface; and the chief result is a free-boundary problem of Stefan type in which the classical interface condition u = O is replaced by a condition relating the integral of u over each facet to the normal velocity of that