메뉴 건너뛰기




Volumn 50, Issue 23-24, 2007, Pages 4614-4622

The zero-phase Stefan problem

Author keywords

Analytical approximation; Asymptotic solution; Charge discharge; Finite domain; Phase change modeling; Stefan problem

Indexed keywords

BOUNDARY CONDITIONS; MELTING; PARAMETER ESTIMATION; PHASE CHANGE MATERIALS;

EID: 34748858222     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2007.03.008     Document Type: Article
Times cited : (15)

References (23)
  • 1
    • 0029481016 scopus 로고
    • Stefan's work on solid-liquid phase changes
    • Šarler B. Stefan's work on solid-liquid phase changes. Eng. Anal. w. Bound. Elem. 16 (1995) 83-92
    • (1995) Eng. Anal. w. Bound. Elem. , vol.16 , pp. 83-92
    • Šarler, B.1
  • 3
    • 0003341014 scopus 로고
    • The Stefan problem
    • American Mathematical Society, Providence, Rhode Island (Chapter 1), p. 4, translation from the Russian by Solomon, A.D
    • Rubinšteǐn L.I. The Stefan problem. Translations of Mathematical Monographs vol. 27 (1971), American Mathematical Society, Providence, Rhode Island (Chapter 1), p. 4, translation from the Russian by Solomon, A.D
    • (1971) Translations of Mathematical Monographs , vol.27
    • Rubinšteǐn, L.I.1
  • 4
    • 0001859145 scopus 로고
    • The Stefan problem with slightly varying wall temperature
    • Howarth J.A. The Stefan problem with slightly varying wall temperature. Mech. Res. Commun. 20 1 (1993) 59-64
    • (1993) Mech. Res. Commun. , vol.20 , Issue.1 , pp. 59-64
    • Howarth, J.A.1
  • 5
    • 0029323595 scopus 로고
    • Comparison of general-purpose finite-element methods for the Stefan problem
    • Pham Q.T. Comparison of general-purpose finite-element methods for the Stefan problem. Numer. Heat Transfer B 27 4 (1995) 417-435
    • (1995) Numer. Heat Transfer B , vol.27 , Issue.4 , pp. 417-435
    • Pham, Q.T.1
  • 6
    • 0031633809 scopus 로고    scopus 로고
    • Numerical solutions of the Stefan problem by the enthalpy method and the heat balance integral
    • Caldwell J., and Chan C.C. Numerical solutions of the Stefan problem by the enthalpy method and the heat balance integral. Numer. Heat Transfer B 33 1 (1998) 99-117
    • (1998) Numer. Heat Transfer B , vol.33 , Issue.1 , pp. 99-117
    • Caldwell, J.1    Chan, C.C.2
  • 7
    • 30244431519 scopus 로고    scopus 로고
    • The asymptotic behavior for the one-phase Stefan problem with a convective boundary condition
    • Tarzia D.A., and Turner C.V. The asymptotic behavior for the one-phase Stefan problem with a convective boundary condition. Appl. Math. Lett. 9 (1996)
    • (1996) Appl. Math. Lett. , vol.9
    • Tarzia, D.A.1    Turner, C.V.2
  • 8
    • 34748831791 scopus 로고
    • Rate of solidification in a semi-infinite region with newton cooling at the boundary
    • Howarth J.A., Poots G., and Schulze H.J. Rate of solidification in a semi-infinite region with newton cooling at the boundary. Mech. Res. Commun. 9 5 (1982) 311-316
    • (1982) Mech. Res. Commun. , vol.9 , Issue.5 , pp. 311-316
    • Howarth, J.A.1    Poots, G.2    Schulze, H.J.3
  • 9
    • 0024939627 scopus 로고
    • Numerical resolution of a phase change problem with zero latent heat
    • Jarny Y., and Delaunay D. Numerical resolution of a phase change problem with zero latent heat. Numer. Heat Transfer B 16 1 (1989) 125-141
    • (1989) Numer. Heat Transfer B , vol.16 , Issue.1 , pp. 125-141
    • Jarny, Y.1    Delaunay, D.2
  • 11
    • 33746416576 scopus 로고    scopus 로고
    • Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary
    • King J.R., and Riley D.S. Asymptotic solutions to the Stefan problem with a constant heat source at the moving boundary. Proc. R. Soc. Lond. A 456 (2000) 1163-1174
    • (2000) Proc. R. Soc. Lond. A , vol.456 , pp. 1163-1174
    • King, J.R.1    Riley, D.S.2
  • 12
    • 1542722131 scopus 로고    scopus 로고
    • Extinction behaviour for the two-dimensional inward-solidification problems
    • McCue S.W., King J.R., and Riley D.S. Extinction behaviour for the two-dimensional inward-solidification problems. Proc. R. Soc. Lond. A 459 (2003) 977-999
    • (2003) Proc. R. Soc. Lond. A , vol.459 , pp. 977-999
    • McCue, S.W.1    King, J.R.2    Riley, D.S.3
  • 13
    • 34748919025 scopus 로고    scopus 로고
    • C. Naaktgeboren, Numerical study of the use of phase change materials in the control of temperature of electronic equipments, M.Sc. dissertation, Federal Center for Technological Education of Paraná, Curitiba, PR, Brazil, December 2002.
  • 14
    • 0038018654 scopus 로고    scopus 로고
    • Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term
    • Natale M.F., and Tarzia D.A. Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term. Int. J. Eng. Sci. 41 (2003) 1685-1698
    • (2003) Int. J. Eng. Sci. , vol.41 , pp. 1685-1698
    • Natale, M.F.1    Tarzia, D.A.2
  • 15
    • 0000903291 scopus 로고
    • An inequality for the coefficient σ of the free boundary s (t) = 2 σ sqrt(t) of the neumann solution for the two-phase Stefan problem
    • Tarzia D.A. An inequality for the coefficient σ of the free boundary s (t) = 2 σ sqrt(t) of the neumann solution for the two-phase Stefan problem. Quart. Appl. Math. 39 (1981) 491-497
    • (1981) Quart. Appl. Math. , vol.39 , pp. 491-497
    • Tarzia, D.A.1
  • 16
    • 8344259869 scopus 로고    scopus 로고
    • An analytical solution for a Stefan problem with variable latent heat
    • Voller V.R., Swenson J.B., and Paola C. An analytical solution for a Stefan problem with variable latent heat. Int. J. Heat Mass Transfer 47 (2004) 5387-5390
    • (2004) Int. J. Heat Mass Transfer , vol.47 , pp. 5387-5390
    • Voller, V.R.1    Swenson, J.B.2    Paola, C.3
  • 17
    • 0030131222 scopus 로고    scopus 로고
    • The inward solidification of spheres with a slightly perturbed temperature distribution at the boundary
    • Gammon J., and Howarth J.A. The inward solidification of spheres with a slightly perturbed temperature distribution at the boundary. Int. Commun. Heat Mass Transfer 23 3 (1996) 397-406
    • (1996) Int. Commun. Heat Mass Transfer , vol.23 , Issue.3 , pp. 397-406
    • Gammon, J.1    Howarth, J.A.2
  • 18
    • 30244493302 scopus 로고
    • Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary
    • Cannon J.R., and Primicerio M. Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary. J. Math. Anal. Appl. 35 (1971) 361-373
    • (1971) J. Math. Anal. Appl. , vol.35 , pp. 361-373
    • Cannon, J.R.1    Primicerio, M.2
  • 19
    • 0032089521 scopus 로고    scopus 로고
    • Estimating the last point to solidify in a casting
    • Voller V.R. Estimating the last point to solidify in a casting. Numer. Heat Transfer B. 33 4 (1998) 417-432
    • (1998) Numer. Heat Transfer B. , vol.33 , Issue.4 , pp. 417-432
    • Voller, V.R.1
  • 20
    • 0032041265 scopus 로고    scopus 로고
    • An approximate-solution-based numerical scheme for Stefan problem with time-dependent boundary conditions
    • Uddin R. An approximate-solution-based numerical scheme for Stefan problem with time-dependent boundary conditions. Numer. Heat Transfer B 3 3 (1998) 269-285
    • (1998) Numer. Heat Transfer B , vol.3 , Issue.3 , pp. 269-285
    • Uddin, R.1
  • 21
    • 0032666597 scopus 로고    scopus 로고
    • One-dimensional phase change with periodic boundary conditions
    • Uddin R. One-dimensional phase change with periodic boundary conditions. Numer. Heat Transfer A 35 4 (1999) 361-372
    • (1999) Numer. Heat Transfer A , vol.35 , Issue.4 , pp. 361-372
    • Uddin, R.1
  • 22
    • 0003434380 scopus 로고
    • John Wiley & Sons, Inc., New York
    • Bejan A. Heat Transfer (1993), John Wiley & Sons, Inc., New York
    • (1993) Heat Transfer
    • Bejan, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.