On the solutions of a phase change problem with temperature-dependent thermal conductivity and specific heat

被引:0
作者
Bougoffa, Lazhar [1 ]
Khanfer, Ammar [2 ]
机构
[1] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math, POB 90950, Riyadh 11623, Saudi Arabia
[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
关键词
Boundary value problem; Phase change problem; Explicit solution; Lower and upper bounds; Existence and uniqueness of the solution; UNIQUENESS; EXISTENCE;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Explicit solutions of similarity-type are obtained for a model conduction heat transfer with phase change into a semi-infinite slab, where the thermal conductivities and specific heats of both phases are a linear function of the temperature. The lower and upper bounds for the solutions of this model are also obtained.
引用
收藏
页数:5
相关论文
共 11 条
[2]  
CARSLAW HS, 1959, CONDUCTION HEAT SOLI, pCH11
[3]   Auxiliary functions in the study of Stefan-like problems with variable thermal properties [J].
Ceretani, Andrea N. ;
Salva, Natalia N. ;
Tarzia, Domingo A. .
APPLIED MATHEMATICS LETTERS, 2020, 104
[4]   Approximation of the modified error function [J].
Ceretani, Andrea N. ;
Salva, Natalia N. ;
Tarzia, Domingo A. .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 337 :607-617
[5]   An exact solution to a Stefan problem with variable thermal conductivity and a Robin boundary condition [J].
Ceretani, Andrea N. ;
Salva, Natalia N. ;
Tarzia, Domingo A. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 40 :243-259
[6]   Existence and uniqueness of the modified error function [J].
Ceretani, Andrea N. ;
Salva, Natalia N. ;
Tarzia, Domingo A. .
APPLIED MATHEMATICS LETTERS, 2017, 70 :14-17
[7]   PHASE-CHANGE PROBLEMS WITH TEMPERATURE-DEPENDENT THERMAL-CONDUCTIVITY [J].
CHO, SH ;
SUNDERLA.JE .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1974, 96 (02) :214-217
[8]   A METHOD FOR THE SOLUTION OF HEAT-TRANSFER PROBLEMS WITH A CHANGE OF PHASE [J].
FREDERICK, D ;
GREIF, R .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1985, 107 (03) :520-526
[9]   PHASE CHANGE IN A SEMI-INFINITE SOLID WITH TEMPERATURE-DEPENDENT THERMAL PROPERTIES [J].
IMBER, M ;
HUANG, PNS .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1973, 16 (10) :1951-1954
[10]   A PHASE-CHANGE PROBLEM WITH TEMPERATURE-DEPENDENT THERMAL-CONDUCTIVITY AND SPECIFIC-HEAT [J].
OLIVER, DLR ;
SUNDERLAND, JE .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1987, 30 (12) :2657-2661