Hybrid integral transform analysis of supercooled droplets solidification.
Hybrid integral transform analysis of supercooled droplets solidification.
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DOI：
10.1098/rspa.2020.0874
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发表时间：
2021-04
期刊：
影响因子：
--
通讯作者：
Tiwari MK
中科院分区：
文献类型：
--
作者：
Carvalho IS;Cotta RM;Naveira-Cotta CP;Tiwari MK
过冷液滴中的冻结现象在许多工程应用中具有重要意义。例如，这一现象的理论模型可以为定制表面涂层和实现疏冰性以减少冰的附着和积累提供见解。在这项工作中，建立了过冷液滴在冷气流中冻结的数学模型和混合数值解析解，液滴与周围环境之间的界面上存在三种主要的传输现象：对流换热、对流传质和热辐射。将广义积分变换技术推广到移动边界热传导问题的暂态偏微分方程组，得到了误差控制的混合解。界面温度的非线性边界条件直接通过选择非线性特征函数展开基来考虑。同时，对冻结锋面的非线性运动方程和积分变换温度的常微分方程组进行了求解。在与已报道的数值解和实验结果进行比较后，重点分析了有关物理参数对液滴温度和冻结时间的影响。
The freezing phenomena in supercooled liquid droplets are important for many engineering applications. For instance, a theoretical model of this phenomenon can offer insights for tailoring surface coatings and for achieving icephobicity to reduce ice adhesion and accretion. In this work, a mathematical model and hybrid numerical–analytical solutions are developed for the freezing of a supercooled droplet immersed in a cold air stream, subjected to the three main transport phenomena at the interface between the droplet and the surroundings: convective heat transfer, convective mass transfer and thermal radiation. Error-controlled hybrid solutions are obtained through the extension of the generalized integral transform technique to the transient partial differential formulation of this moving boundary heat transfer problem. The nonlinear boundary condition for the interface temperature is directly accounted for by the choice of a nonlinear eigenfunction expansion base. Also, the nonlinear equation of motion for the freezing front is solved together with the ordinary differential system for the integral transformed temperatures. After comparisons of the solution with previously reported numerical and experimental results, the influence of the related physical parameters on the droplet temperatures and freezing time is critically analysed.
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影响因子：
3.9
作者：
Jung, Stefan;Dorrestijn, Marko;Poulikakos, Dimos
通讯作者：
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DOI：
10.1016/s0017-9310(02)00399-x
发表时间：
2003-03-01
影响因子：
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通讯作者：
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DOI：
10.1016/0017-9310(74)90061-1
发表时间：
1974-01-01
影响因子：
5.2
作者：
RILEY, DS;SMITH, FT;POOTS, G
通讯作者：
POOTS, G
DOI：
10.1016/j.ijheatmasstransfer.2018.06.089
发表时间：
2018-12-01
影响因子：
5.2
作者：
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通讯作者：
Weigand, B.
影响因子：
16.6
作者：
Jung, Stefan;Tiwari, Manish K.;Poulikakos, Dimos
通讯作者：
Poulikakos, Dimos