A mathematical model for supercooling process and its application to frazil ice evolution

被引：2

作者：

Yang, Deming ^{[1
,2
]}

Lian, Jijian ^{[1
,2
]}

Zhao, Xin ^{[1
,2
]}

Hou, Qingzhi ^{[1
,2
]}

Chen, Yunfei ^{[1
,2
]}

Zhang, Yue ^{[1
,2
]}

机构：

[1] Tianjin Univ, State Key Lab Hydraul Engn Simulat & Safety, Tianjin, Peoples R China

[2] Tianjin Univ, Sch Civil Engn, Tianjin, Peoples R China

来源：

SCIENTIFIC REPORTS | 2023年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

SECONDARY NUCLEATION; SIMULATION; COLLISIONS; RIVER;

D O I：

10.1038/s41598-023-33097-z

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The calculation of the number of ice crystals for the model of frazil ice evolution is very important and affects the whole frazil events. In this paper, the general formula for the number of frazil ice crystals was established considering secondary nucleation, flocculation, gravity and turbulent entrainment, and ice crystals by melting. Meanwhile, two physical processes of secondary nucleation and flocculation were expressed by introducing critical impact velocity and the probability of flocculation from previous models. It has been found that the simulation results of frazil ice evolution are in good agreement with the experimental data and actual project. Then, Sobol method is carried out to judge parameters' influence degree, which found the number of nuclei produced E is the most sensitive and has the greatest influence on the model results. In addition, sensitivity analysis of these parameters shows that they can affect the maximum supercooling and the period of supercooling. Therefore, the calculation method of the number of ice crystals is applied, which provides technical support for exploring the water temperature and internal relationship of frazil ice evolution.

引用

页数：13

共 48 条

[31]

[刘孟凯 Liu Mengkai], 2019, [农业工程学报, Transactions of the Chinese Society of Agricultural Engineering], V35, P95

[32] Modelling frazil and anchor ice on submerged objects [J].

Makkonen, Lasse ;

Tikanmaki, Maria .

COLD REGIONS SCIENCE AND TECHNOLOGY, 2018, 151 :64-74

[33] Laboratory measurements of the rise velocity of frazil ice particles [J].

McFarlane, Vincent ;

Loewen, Mark ;

Hicks, Faye .

COLD REGIONS SCIENCE AND TECHNOLOGY, 2014, 106 :120-130

[34]

Mercier S., 1984, REACTIVE TRANSPORT S

[35] Numerical simulation of droplet impact on vibrating low-adhesion surfaces [J].

Moradi, Mostafa ;

Rahimian, Mohammad Hassan ;

Chini, Seyed Farshid .

PHYSICS OF FLUIDS, 2020, 32 (06)

[36]

[穆祥鹏 Mu Xiangpeng], 2013, [水利学报, Journal of Hydraulic Engineering], V44, P1071

[37] Uncertainty in rainfall-runoff model simulations and the implications for predicting the hydrologic effects of land-use change [J].

Nandakumar, N ;

Mein, RG .

JOURNAL OF HYDROLOGY, 1997, 192 (1-4) :211-232

[38] Collision-Induced Melting in Collisions of Water Ice Nanograins: Strong Deformations and Prevention of Bouncing [J].

Nietiadi, Maureen L. ;

Umstaetter, Philipp ;

Alhafez, Iyad Alabd ;

Rosandi, Yudi ;

Bringa, Eduardo M. ;

Urbassek, Herbert M. .

GEOPHYSICAL RESEARCH LETTERS, 2017, 44 (21) :10822-10828

[39]

Osterkamp TE., 1978, J GLACIOL, V81, P619

[40]

Pruppacher H. R., 1980, Microphysics of clouds and precipitation, DOI [10.1038/284088b0, DOI 10.1038/284088B0]

← 1 2 3 4 5 →