| [1] Stefan J.Uber einige probleme der theorie der warmeleitung[J].Sber Akad Wiss Wien, 1889, 98(0):473-484[2]Sharma A, Tyagi V V, Chen C R, et al.Review on thermal energy storage with phase change materials and applications[J].Renewable and Sustainable Energy Reviews, 2009, 13(2):318-345[3]Martínez-Tomás C, Mu?oz V.CdTe crystal growth process by the Bridgman method: numerical simulation[J].Journal of Crystal Growth, 2001, 222(3):435-451[4] Sun X Q, Zhang Q, Liu Y J, et al.Numerical calculation and simulation on melting and solidification time periods of a phase change material[J]. Advanced Materials Research, 2012, 455-456(0):374-381[5] Lu T, Jiang P X.Numerical simulation of natural convection for melting phase change in porous media[J].Journal of Engineering Thermophysics, 2005, 26(0):167-170[6] Zhang B B, Xing Y M, Sheng Q.Numerical simulation of two phase change materials melting process[J].Advanced Materials Research, 2014, 1049-1050(0):94-100[7] Mao Q J, Zhang Y M.Thermal energy storage performance of a three-PCM cascade tank in a high-temperature packed bed system[J].Renewable Energy, 2020, 152(0):110-119[8]Jaluria Y.Fluid flow phenomena in materials processing-The 2000 freeman scholar lecture[J].Journal of Fluids Engineering, 2001, 123(2):173-210[9]Dutil Y, Rousse D R, Salah N B, et al.A review on phase-change materials: Mathematical modeling and simulations[J].Renewable and Sustainable Energy Reviews, 2011, 15(1):112-130[10]Gupta S C.A moving grid numerical scheme for multi-dimensional solidification with transition temperature range[J].Computer Methods in Applied Mechanics and Engineering, 2000, 189(2):525-544[11]Tenchev R T, Mackenzie J A, Scanlon T J, et al.Finite element moving mesh analysis of phase change problems with natural convection[J].International Journal of Heat and Fluid Flow, 2005, 26(4):597-612[12] Voller V R, Cross M, Markatos N C.An enthalpy method for convection/diffusion phase change[J].International Journal for Numerical Methods in Engineering, 197, 24(1):271-284[13]Voller V R, Prakash C.A fixed grid numerical modeling methodology for convection-diffusion mushy region phase-change problem[J].ASME International Journal of Heat and Mass Transfer, 1987, 30(8):1709-1719[14] Khattari Y, Rhafiki T E, Choab N, et al.Apparent heat capacity method to investigate heat transfer in a composite phase change material[J].Journal of Energy Storage, 2020, 28(0):101239-101239[15] Yao W A, Yao H X, Zuo C.Precise integration boundary element method for solving dual phase change problems based on the effective heat capacity model[J].Engineering Analysis with Boundary Elements, 2019, 108(0):411-421[16] Ma Z W, Zhang P.Modeling the heat transfer characteristics of flow melting of phase change material slurries in the circular tubes[J].International Journal of Heat and Mass Transfer, 2013, 64(0):874-881[17]Pham Q T.Modelling heat and mass transfer in frozen foods: a review[J].International Journal of Refrigeration, 2006, 29(6):876-888[18]Yang B, Fu X R, Yang W, et al.Effect of melt and mold temperatures on the solidification behavior of HDPE during gas-assisted injection molding: an enthalpy transformation approach[J].Macromolecular Materials and Engineering, 2009, 294(5):336-344[19]Liang S P, Yang B, Fu X R, et al.A simple method for forecast of cooling time of high-density polyethylene during gas-assisted injection molding[J].Journal of Applied Polymer Science, 2010, 117(2):729-735[20] Danaila I, Moglan R, Hecht F, et al.A Newton method with adaptive finite elements for solving phase-change problems with natural convection[J].Journal of Computational Physics, 2014, 274(0):826-840[21]Salzmann C, Radaelli P G, Hallbrucker A, et al.The preparation and structures of hydrogen ordered phases of ice[J].Science, 2006, 311(5768):1758-1761[22]Jana S, Ray S, Durst F.A numerical method to compute solidification and melting processes[J].Applied Mathematical Modelling, 2007, 31(1):93-119[23]Udaykumar H S, Mittal R, Shyy W.Computation of solid–liquid phase fronts in the sharp interface limit on fixed grids[J].Journal of Computational Physics, 1999, 153(2):535-574[24] Furmański P, Banaszek J.Modelling of the mushy zone permeability for solidifi-cation of binary alloys[J].Materials Science Forum, 2006, 508(0):411-418[25] ANSYS Inc.ANSYS Fluent 14.0 User' s Guide[J].ANSYS Fluent 14.0 User' s Guide, 2009, 0(0):0-0[26] Brent A D, Voller V R, Reid K J.Enthalpy-porosity technique for modeling convection-diffusion phase change: Application to the melting of a pure metal[J].Numerical Heat Transfer, 1988, 13(0):297-318[27]刘夷平, 黄为民, 王经.利用焓-多孔介质法对垂直Bridgman生长CdTe的数值模拟[J].材料研究学报, 2006, 20(3):225-230[28]何宜谦, 杨海天.基于Sigmoid函数光滑化的等效热容和有限元法求解相变传热问题[J].应用基础与工程科学学报, 2011, 19(5):817-829[29]许波, 王恪典, 李雪芝, 等.焊接数值计算中几种相变潜热处理方法[J].热加工工艺, 2020, 49(3):7-10+6[30]潘艾刚, 王俊彪, 张贤杰.基于等效热容法和焓法的相变传热数值分析[J].计算机仿真, 2014, 31(2):315-319[31]张尚中, 曾忠, 张永祥, 等.Czochralski法晶体生长全局数值模拟[J].重庆交通大学学报自然科学版, 2009, 28(S1):355-357+365[32] Younsi Z, Naji H.A numerical investigation of melting phase change process via the enthalpyporosity approach: Application to hydrated salts[J].International Communications in Heat and Mass Transfer, 2017, 86(0):12-24[33] Iten M, Liu S, Shukla A.Experimental Validation of an Air-PCM Storage Unit Comparing the Effective Heat Capacity and Enthalpy Methods through CFD Simulations[J].Energy, 2018, 155(0):495-503[34] Patankar S V.Numerical Heat Transfer and Fluid Flow[M]. New York: McGraw-Hill, 1980, p.285.[35] Kulkarni S, Lin C X, Ghenai C.Numerical modeling of solidification process using the enthalpy-porosity technique[C]. ASME Summer Heat Transfer Conference, San Francisco, California, USA, 2005: 401-407.[36] Duggirala R K, Lin C X, Ghenai C.Experimental Investigation of Fluid Flow and Phase moving interface during the solidification of binary mixture in trapezoidal cavity[C]. ASME Heat Transfer/Fluid Engineering conference, Charlotte, North Carolina, 2004: 11-15.[37]Saleel C A.Numerical study on melting and heat transfer characteristics of paraffin wax SiC paraffin using enthalpy-porosity model[J].Journal of Thermal Analysis and Calorimetry, 2022, 147(19):10497-10508[38] Shokouhmand H, Kamkari B.Experimental investigation on melting heat transfer characteristics of lauric acid in a rectangular thermal storage unit[J].Experimental Thermal and Fluid Science, 2013, 50(0):201-212[39]刘永才, Simon B.石榴石晶体生长过程的生长动力学模型[J].人工晶体学报, 1999, 28(1):8-16[40] Ding J L, Liu L J.Real-time prediction of crystal/melt interface shape during Czochralski crystal growth[J].CrystEngComm, 2018, 20(0):6925-6931[41] Carrhà S, Fogliani S, Masi M, et al.Melt-solid interface shape in LEC GaAs crystals: comparison between calculated and experimentally observed shapes[J].Journal of Crystal Growth, 199, 166(1-4):641-645[42] Wu X B, Geng X, Guo Z Y.Fundamental study of crystal/melt interface shape change in Czochralski crystal growth[J].Journal of Crystal Growth, 1996, 169(4):786-794[43] Shiraishi Y, Maeda S, Nakamura K.Prediction of solid-liquid interface shape during CZ Si crystal growth using experimental and global simulation[J].Journal of Crystal Growth, 2004, 266(1-3):28-33[44] Zhu Y Z, Ma D C, Long S W, et al.In-situ detection of growth striations by crystallization electromotive force measurement during Czochralski crystal growth[J].Journal of Crystal Growth, 2017, 475(0):70-76[45]李有荣, 阮登芳, 彭岚, 等.硅单晶CzochralskiI法生长全局数值模拟传热与流动特性[J].材料研究学报, 2004, 18(2):102-108 |