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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 35, 1999 - Issue 4
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Original Articles

ONE-DIMENSIONAL PHASE CHANGE WITH PERIODIC BOUNDARY CONDITIONS

Pages 361-372 | Published online: 29 Oct 2010

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Vikas Chaurasiya, Rajneesh Kumar Chaudhary, Abderrahim Wakif & Jitendra Singh. (2022) A one-phase Stefan problem with size-dependent thermal conductivity and moving phase change material under the most generalized boundary condition. Waves in Random and Complex Media 0:0, pages 1-29.
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Yih-Jena Jan & Tony Wen-Hann Sheu. (2007) A Cell-by-Cell, Thermally Driven, Mushy Cell Tracking Algorithm for Phase-Change Problems in Dendritic Solidification. Numerical Heat Transfer, Part B: Fundamentals 52:1, pages 69-105.
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Articles from other publishers (22)

Mustafa Asker, Hadi Genceli & Mehmet Akif Ezan. (2022) Numerical simulation of thermal energy storage system inside a spherical capsule under periodic boundary conditions. Energy Storage 5:4.
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Seda Gulen. (2022) A novel hybrid method based cubic B-spline for one-dimensional Stefan problem with moving PCM, size-dependent thermal conductivity and periodic boundary condition. Computational and Applied Mathematics 41:8.
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Vikas Chaurasiya, Abderrahim Wakif, Nehad Ali Shah & Jitendra Singh. (2022) A study on cylindrical moving boundary problem with variable thermal conductivity and convection under the most realistic boundary conditions. International Communications in Heat and Mass Transfer 138, pages 106312.
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Abhishek Kumar & Rajeev. (2020) A Stefan problem with moving phase change material, variable thermal conductivity and periodic boundary condition. Applied Mathematics and Computation 386, pages 125490.
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P. J. Shamberger, A. Hoe, M. Deckard & M. T. Barako. (2020) Dynamics of melting in a slab under harmonic heating and convective cooling boundary conditions. Journal of Applied Physics 128:10, pages 105102.
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Morteza Garshasbi & Shadi Malek Bagomghaleh. (2019) An iterative approach to solve a nonlinear moving boundary problem describing the solvent diffusion within glassy polymers. Mathematical Methods in the Applied Sciences 43:6, pages 3754-3772.
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Matthew J. Powell-Palm & Boris Rubinsky. (2019) A shift from the isobaric to the isochoric thermodynamic state can reduce energy consumption and augment temperature stability in frozen food storage. Journal of Food Engineering 251, pages 1-10.
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Milos Ivanovic, Marina Svicevic & Svetislav Savovic. (2017) Numerical solution of Stefan problem with variable space grid method based on mixed finite element/finite difference approach. International Journal of Numerical Methods for Heat & Fluid Flow 27:12, pages 2682-2695.
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N. A. Rubtsov, N. A. Savvinova & S. D. Sleptsov. (2015) Simulation of the one-phase Stefan problem in a layer of a semitransparent medium. Journal of Engineering Thermophysics 24:2, pages 123-138.
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S.L. Mitchell & M. Vynnycky. (2009) Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Applied Mathematics and Computation 215:4, pages 1609-1621.
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Whye‐Teong Ang. (2007) A numerical method based on integro‐differential formulation for solving a one‐dimensional Stefan problem. Numerical Methods for Partial Differential Equations 24:3, pages 939-949.
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Damian Słota. (2008) Using genetic algorithms for the determination of an heat transfer coefficient in three-phase inverse Stefan problem. International Communications in Heat and Mass Transfer 35:2, pages 149-156.
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C. Naaktgeboren. (2007) The zero-phase Stefan problem. International Journal of Heat and Mass Transfer 50:23-24, pages 4614-4622.
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M.C. Olguín, M.A. Medina, M.C. Sanziel & D.A. Tarzia. (2007) Behavior of the solution of a Stefan problem by changing thermal coefficients of the substance. Applied Mathematics and Computation 190:1, pages 765-780.
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Yih-Jena Jan. (2006) A cell-by-cell thermally driven mushy cell tracking algorithm for phase-change problems. Computational Mechanics 40:2, pages 201-216.
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O. V. Lebedev, O. N. Budadin, M. N. Slitkov, V. G. Avramenko & D. V. Kirzhanov. (2006) Studying heat and moisture transfer phenomena during liquid-solid phase transitions in multilayer objects. Russian Journal of Nondestructive Testing 42:10, pages 700-708.
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S.G. Ahmed. (2006) A new algorithm for moving boundary problems subject to periodic boundary conditions. International Journal of Numerical Methods for Heat & Fluid Flow 16:1, pages 18-27.
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J. I. Ramos. (2005) Exponential numerical methods for one-dimensional one-phase Stefan problems. Archive of Applied Mechanics 74:10, pages 664-678.
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Z. Dursunkaya & S. Nair. (2003) Solidification of a Finite Medium Subject to a Periodic Variation of Boundary Temperature. Journal of Applied Mechanics 70:5, pages 633-637.
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Svetislav Savović & James Caldwell. (2003) Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions. International Journal of Heat and Mass Transfer 46:15, pages 2911-2916.
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James Caldwell, Svetislav Savovic´ & Yuen-Yick Kwan. (2003) Nodal Integral and Finite Difference Solution of One-Dimensional Stefan Problem. Journal of Heat Transfer 125:3, pages 523-527.
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R.J. Goldstein, E.R.G. Eckert, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, A. Bar-Cohen, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen & S. Garrick. (2001) Heat transfer – a review of 1999 literature. International Journal of Heat and Mass Transfer 44:19, pages 3579-3699.
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