［1］ ZALBA B, MARIN J M, CABEZA L F, et al. Review on thermal energy storage with phase change: materials, heat transfer analysis and applications ［J］. Applied Thermal Engineering, 2003, 23(3): 251283．
［2］ DHAIDAN N D, KHODADADI J M. Melting and convection of phase change materials in different shape containers: a review ［J］. Renewable and Sustainable Energy Reviews, 2015, 43: 449477．
［3］ SAITOH T. Optimum design for latent heat thermal energy storage reservoir ［J］. Refrigeration, 1983, 58(670): 749756．
［4］ BILIR L, ILKEN Z. Total solidification time of a liquid phase change material enclosed in cylindrical/spherical container ［J］. Applied Thermal Engineering, 2005, 25(10): 14881502．
［5］ ARCHIBOLD A R, GONZALEZ AGUILAR J, RAHMAN M M, et al. The melting process of storage materials with relatively high phase change temperatures in partially filled spherical shells ［J］. Applied Energy, 2014, 116: 243252．
［6］ RIZAN M Z M, TAN F L, TSO C P. An experimental study of n octadecane melting inside a sphere subjected to constant heat rate at surface ［J］.International Communications in Heat and Mass Transfer, 2012, 39(10): 16241630．
［7］ TAN F L. Constrained and unconstrained melting inside a sphere ［J］. International Communications in Heat and Mass Transfer, 2008, 35(4): 466475．
［8］ HOSSEINIZADEH S F, DARZI A A, TAN F L, et al. Unconstrained melting inside a sphere ［J］. International Journal Thermal Sciences, 2013, 63: 5564．
［9］ ASSIS E, KATSMAN L, ZISKIND G, et al. Numerical and experimental study of melting in a spherical shell ［J］. International Journal of Heat and Mass Transfer, 2007, 50(9/10): 17901804．
［10］ KHODADADI J M, ZHANG Y. Effects of buoyancy driven convection on melting within spherical containers ［J］. International Journal of Heat and Mass Transfer, 2001, 44(8): 16051618．
［11］ TAN F L, HOSSEINIZADEH S F, KHODADADI J M, et al. Experimental and computational study of constrained melting of phase change materials (PCM) inside a spherical capsule ［J］. International Journal of Heat and Mass Transfer, 2009, 52(15/16): 34643472．
［12］ BARBA A, SPRIGA M. Discharge mode for encapsulated PCMs in storage tanks ［J］. Solar Energy, 2003, 74(2): 141148．
［13］ 朱子钦, 肖胜蓝, 施松鹤, 等. 相变材料在含翅片球形容器内的约束熔化传热过程［J］. 科学通报, 2015, 60(12): 11251131．
ZHU Zi qin, XIAO Sheng lan, SHI Song he, et al. Constrained melting heat transfer of a phase change material in a finned spherical capsule ［J］. Chinese Science Bulletin, 2015, 60(12): 11251131．
［14］ KOIZUMI H. Time and spatial heat transfer performance around an isothermally heated sphere placed in a uniform downwardly directed flow (in relation to the enhancement of latent heat storage rate in a spherical capsule) ［J］. Applied Thermal Engineering, 2004, 24(17/18): 25832600．
［15］ FAN L W, XIAO Y Q, ZENG Y. Effects of melting temperature and the presence of internal fins on the performance of a phase change material (PCM) based heat sink ［J］. International Journal of Thermal Sciences, 2013, 70: 114126．
［16］ FAN L, KHODADADI J M. Thermal conductivity enhancement of phase change materials for thermal energy storage: a review ［J］. Renewable and Sustainable Energy Reviews, 2011, 15(1): 2446．
［17］ KHODADADI J M, FAN L, BABAEI H. Thermal conductivity enhancement of nanostructure based colloidal suspensions utilized as phase change materials for thermal energy storage: a review ［J］. Renewable and Sustainable Energy Reviews, 2013, 24: 418444．
［18］ 王继芬,谢华清,辛忠,等.纳米ZnO/石蜡复合相变的热物理性质研究［J］.工程热物理学报,2011, 32,(11):18971899．
WANG Ji fen, XIE Hua qing, XIN Zhong, et al. Study on the thermophysical  properties of  paraffin wax composites containing ZnO nanopartides［J］.Journal of Engineering Thermophysics, 2011, 32(11):18971899．
［19］ HOSSEINIZADEH S F, DARZI A A, TAN F L. Numerical investigations of uncontrained melting of nano enhanced phase change material (NEPCM) inside a spherical container ［J］. International Journal of Thermal Science, 2012, 51: 7783．
［20］ HO C J, GAO J Y. An experimental study on melting heat transfer of paraffin dispersed with Al2O3 nanoparticles in a vertical enclosure ［J］. International Journal of Heat and Mass Transfer, 2013, 61: 28．
［21］ ZENG Y, FAN L W, XIAO Y Q, et al. An experimental investigation of melting of nanoparticle enhanced phase change materials (NePCMs) in a bottom heated vertical cylindrical cavity ［J］. International Journal of Heat and Mass Transfer, 2013, 66: 111117．
［22］ FAN L W, ZHU Z Q, ZENG Y, et al. Heat transfer during melting of graphene based composite phase change materials heated from below ［J］. International Journal of Heat and Mass Transfer, 2014, 79: 94104．
［23］ FAN L W, ZHU Z Q, ZENG Y, et al. Unconstrained melting heat transfer in a spherical container revisited in the presence of nano enhanced phase change materials (NePCM) ［J］. International Journal of Heat and Mass Transfer, 2016,95:10571069．
［24］ 丁晴, 方昕, 闫晨, 等. 石墨纳米片尺寸对复合相变材料储热特性的影响［J］. 化工学报, 2015, 66(6): 20232030．
DING Qing, FANG Xin, YAN Chen, et al. Effects of graphite nanosheet size on thermal storage property of composite PCMs ［J］. CIESC Journal, 2015, 66(6): 20232030．
［25］ FANG X, FAN L W, DING Q, et al. Increased thermal conductivity of eicosane based composite phase change materials in the presence of graphene nanoplatelets ［J］. Energy and Fuels, 2013, 27(7): 40414047．
［26］ 丁晴, 方昕, 范利武, 等. 混合纳米填料对复合相变材料导热系数的影响［J］. 浙江大学学报：工学版, 2015, 49(2): 330335．
DING Qing, FANG Xin, FAN Li wu, et al. Effect of hybrid nanofillers on thermal conductivity of composite phase change materials ［J］. Journal of Zhejiang University:Engineering Science, 2015, 49(2): 330335．