Numerical Investigation of Energy Storage in Packed Bed of Cylindrical Capsules of PCM

Abstract

A theoretical study of storage thermal energy using capsulated cylinders filled with phase change material PCM is performed. These cylinders are arranged in-line in the direction of heat transfer fluid. The energy equations of fluid (water) and PCM capsules are solved numerically using finite volume method with heat capacity method for phase change of PCM. The effect of Reynolds number and the ratio of pitch to diameter of the cylinders on the temperature distribution and melt fraction are presented. The results show that the increment of both Reynolds number and the ratio of the pitch to diameter gives decrement in the final time of melting of PCM in the cylinders. ‫اﻻﺳﻄﻮاﻧﯿﺔ‬ ‫اﻟﻜﺒﺴﻮﻻت‬ ‫ﻣﻦ‬ ‫ﻣﻜﺘﻆ‬ ‫ﺳﺮﯾﺮ‬ ‫ﻓﻲ‬ ‫اﻟﻄﺎﻗﺔ‬ ‫ﻟﺨﺰن‬ ‫ﻋﺪدي‬ ‫ﺗﺤﻘﯿﻖ‬ ‫اﻟﻄﻮر‬ ‫ﻣﺘﻐﯿﺮة‬ ‫ﻟﻠﻤﻮاد‬ ‫اﻟ‬ ‫ﺨﻼ‬ ‫ﺻ‬ ‫ﺔ‬ ‫ﺮة‬ ‫ﻣﺘﻐﯿ‬ ‫ﻮاد‬ ‫ﺑﻤ‬ ‫ﻮءة‬ ‫ﻣﻤﻠ‬ ‫ﻮﻟﯿﺔ‬ ‫ﻛﺒﺴ‬ ‫ﻄﻮاﻧﺎت‬ ‫اﺳ‬ ‫ﺘﺨﺪام‬ ‫ﺑﺎﺳ‬ ‫ﺔ‬ ‫اﻟﺤﺮارﯾ‬ ‫ﺔ‬ ‫اﻟﻄﺎﻗ‬ ‫ﺰن‬ ‫ﻟﺨ‬ ‫ﺔ‬ ‫ﻧﻈﺮﯾ‬ ‫ﺔ‬ ‫دراﺳ‬ ‫ﺪﻣﺖ‬ ‫ﻗ‬ ‫اﻟﻄﻮر‬. ‫ﺪ‬ ‫واﺣ‬ ‫ﻂ‬ ‫ﺧ‬ ‫ﻓﻲ‬ ‫ﻣﺮﺗﺒﺔ‬ ‫اﻻﺳﻄﻮاﻧﺎت‬ ‫ھﺬه‬ ‫ﺮارة‬ ‫اﻟﺤ‬ ‫ﺎل‬ ‫اﻧﺘﻘ‬ ‫ﺎﺋﻊ‬ ‫ﻣ‬ ‫ﺎه‬ ‫ﺑﺎﺗﺠ‬. ‫ﺔ‬ ‫اﻟﻄﺎﻗ‬ ‫ﺎدﻻت‬ ‫ﻣﻌ‬ ‫ﺪدﯾﺎ‬ ‫ﻋ‬ ‫ﺖ‬ ‫ﺣﻠ‬ ‫ﻟ‬ ‫ﺎﺋﻊ‬ ‫ﻠﻤ‬) ‫ﺎء‬ ‫اﻟﻤ‬ (‫ا‬ ‫ﻮﻻت‬ ‫ﻛﺒﺴ‬ ‫و‬ ‫ﻌﺔ‬ ‫اﻟﺴ‬ ‫ﺔ‬ ‫طﺮﯾﻘ‬ ‫ﻊ‬ ‫ﻣ‬ ‫ﺪد‬ ‫اﻟﻤﺤ‬ ‫ﻢ‬ ‫اﻟﺤﺠ‬ ‫ﺔ‬ ‫طﺮﯾﻘ‬ ‫ﺘﺨﺪام‬ ‫ﺑﺎﺳ‬ ‫ﻮر‬ ‫اﻟﻄ‬ ‫ﺔ‬ ‫ﺛﻨﺎﺋﯿ‬ ‫ﻮاد‬ ‫ﻟﻤ‬ ‫اﻟﻄﻮر‬ ‫ﺛﻨﺎﺋﯿﺔ‬ ‫ﻟﻠﻤﻮاد‬ ‫اﻟﺤﺮارﯾﺔ‬. ‫ﺔ‬ ‫درﺟ‬ ‫ﻰ‬ ‫ﻋﻠ‬ ‫ﻄﻮاﻧﺔ‬ ‫اﻻﺳ‬ ‫ﺮ‬ ‫ﻗﻄ‬ ‫ﻰ‬ ‫إﻟ‬ ‫ﻮة‬ ‫اﻟﺨﻄ‬ ‫ﺒﺔ‬ ‫ﻧﺴ‬ ‫و‬ ‫ﺪز‬ ‫رﯾﻨﻮﻟ‬ ‫رﻗﻢ‬ ‫ﺗﺄﺛﯿﺮ‬ ‫ﻣﺜﻞ‬ ‫ﺛﻨﺎﺋﯿ‬ ‫اﻟﻤﻮاد‬ ‫ﺣﺮارة‬ ‫وﻛﺴﺮ‬ ‫اﻟﻄﻮر‬ ‫ﺔ‬ ‫ا‬ ‫ﻻﻧﺼﮭﺎر‬. ‫ﻮة‬ ‫اﻟﺨﻄ‬ ‫ﺒﺔ‬ ‫ﻧﺴ‬ ‫و‬ ‫ﺪز‬ ‫رﯾﻨﻮﻟ‬ ‫رﻗﻢ‬ ‫ﻣﻦ‬ ‫ﻛﻞ‬ ‫زﯾﺎدة‬ ‫إن‬ ‫ﺑﯿﻨﺖ‬ ‫اﻟﻨﺘﺎﺋﺞ‬ ‫اﻻﺳﻄﻮاﻧﺎت‬ ‫ﻓﻲ‬ ‫اﻟﻄﻮر‬ ‫ﺛﻨﺎﺋﯿﺔ‬ ‫اﻟﻤﻮاد‬ ‫ﻻﻧﺼﮭﺎر‬ ‫اﻟﻨﮭﺎﺋﻲ‬ ‫اﻟﻮﻗﺖ‬ ‫ﻓﻲ‬ ‫ﻧﻘﺼﺎن‬ ‫ﺗﻌﻄﻲ‬ ‫اﻻﺳﻄﻮاﻧﺔ‬ ‫ﻗﻄﺮ‬ ‫إﻟﻰ‬. NOMENCLATURE A area 2 m c specific heat K kg J /