Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow

Subcooled boiling flow is a typical phenomenon of a high efficiency of heat transfer in the nuclear reactor. Bubble characteristic sizes are important parameters for the mechanism investigation of subcooled boiling flow. Compared to the empirical correlation and force analysis model, the heat balanc...

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Autores principales:	Xiaomeng Dong, Yang Yu, Zhijian Zhang, Xi Huang
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Bubble diameter Heat balance model Subcooled boiling flow Squeeze theorem Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/bce954dd1ed44f79b7c34de21a010c32
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id	oai:doaj.org-article:bce954dd1ed44f79b7c34de21a010c32
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spelling	oai:doaj.org-article:bce954dd1ed44f79b7c34de21a010c322021-11-12T04:33:44ZMathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow2214-157X10.1016/j.csite.2021.101630https://doaj.org/article/bce954dd1ed44f79b7c34de21a010c322021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2214157X21007930https://doaj.org/toc/2214-157XSubcooled boiling flow is a typical phenomenon of a high efficiency of heat transfer in the nuclear reactor. Bubble characteristic sizes are important parameters for the mechanism investigation of subcooled boiling flow. Compared to the empirical correlation and force analysis model, the heat balance model is an effective method to describe the growth of bubble and calculate the bubble maximum diameter. After a wide investigation of the law of bubble growth, some researchers concluded that the bubble diameter would increase all the time during the process. However after a detailed mathematical analysis by use of Squeeze Theorem, new model is developed for the bubble growth model according to heat balance theory in this paper. Compared to the traditional Unal's model, new model indicates the existence of local bubble maximum diameter during the bubble growth's process. In addition, a key group value is provided for the area ratios of different heat fluxes. Several databases are used for validation of the new model. The errors are around 20% which show the accuracy of the new method.Xiaomeng DongYang YuZhijian ZhangXi HuangElsevierarticleBubble diameterHeat balance modelSubcooled boiling flowSqueeze theoremEngineering (General). Civil engineering (General)TA1-2040ENCase Studies in Thermal Engineering, Vol 28, Iss , Pp 101630- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Bubble diameter Heat balance model Subcooled boiling flow Squeeze theorem Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Bubble diameter Heat balance model Subcooled boiling flow Squeeze theorem Engineering (General). Civil engineering (General) TA1-2040 Xiaomeng Dong Yang Yu Zhijian Zhang Xi Huang Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow
description	Subcooled boiling flow is a typical phenomenon of a high efficiency of heat transfer in the nuclear reactor. Bubble characteristic sizes are important parameters for the mechanism investigation of subcooled boiling flow. Compared to the empirical correlation and force analysis model, the heat balance model is an effective method to describe the growth of bubble and calculate the bubble maximum diameter. After a wide investigation of the law of bubble growth, some researchers concluded that the bubble diameter would increase all the time during the process. However after a detailed mathematical analysis by use of Squeeze Theorem, new model is developed for the bubble growth model according to heat balance theory in this paper. Compared to the traditional Unal's model, new model indicates the existence of local bubble maximum diameter during the bubble growth's process. In addition, a key group value is provided for the area ratios of different heat fluxes. Several databases are used for validation of the new model. The errors are around 20% which show the accuracy of the new method.
format	article
author	Xiaomeng Dong Yang Yu Zhijian Zhang Xi Huang
author_facet	Xiaomeng Dong Yang Yu Zhijian Zhang Xi Huang
author_sort	Xiaomeng Dong
title	Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow
title_short	Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow
title_full	Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow
title_fullStr	Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow
title_full_unstemmed	Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow
title_sort	mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/bce954dd1ed44f79b7c34de21a010c32
work_keys_str_mv	AT xiaomengdong mathematicalanalysisofheatbalancemodelforthebubblegrowthinthesubcooledboilingflow AT yangyu mathematicalanalysisofheatbalancemodelforthebubblegrowthinthesubcooledboilingflow AT zhijianzhang mathematicalanalysisofheatbalancemodelforthebubblegrowthinthesubcooledboilingflow AT xihuang mathematicalanalysisofheatbalancemodelforthebubblegrowthinthesubcooledboilingflow
_version_	1718431254943105024

Mathematical analysis of heat balance model for the bubble growth in the subcooled boiling flow

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