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A NOVEL ENTHALPY FORMULATION FOR MULTIDIMENSIONAL SOLIDIFICATION AND MELTING OF A PURE SUBSTANCE

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Title A NOVEL ENTHALPY FORMULATION FOR MULTIDIMENSIONAL SOLIDIFICATION AND MELTING OF A PURE SUBSTANCE
 
Creator DATE, AW
 
Subject enthalpy formulation
multidimensional phase-change problems
finite-difference method
 
Description This paper presents a new Finite-difference formulation of the multidimensional phase change problems involving unique phase change temperature. The solutions obtained with this formulation show that the problem of ''waviness'' of the temperature histories encountered with the conventional enthalpy formulation is now removed. The formulation derived provides a simple method for ''local'' tracking of the interface using the enthalpy variable in a novel way. During the solution of the finite-difference equations, the present formulation obviates the need for ''book-keeping'' of the phase-change nodes, and hence allows solution of the equations by tridiagonal matrix algorithm. It is argued that the benefits of enthalpy formulation can be extended to phase-change problems involving convection by solving the equations of motion on non-staggered grid.
 
Publisher INDIAN ACADEMY SCIENCES
 
Date 2011-08-02T00:09:56Z
2011-12-26T12:53:33Z
2011-12-27T05:39:59Z
2011-08-02T00:09:56Z
2011-12-26T12:53:33Z
2011-12-27T05:39:59Z
1994
 
Type Article
 
Identifier SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 19(), 833-850
0256-2499
http://dx.doi.org/10.1007/BF02744407
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8585
http://hdl.handle.net/10054/8585
 
Language en