Time scaling of frost accretion and the square-root-of-time rule

This paper assesses the time evolution of three key parameters of frost accretion on flat surfaces: thickness, density, and accumulated mass. A scale analysis is conducted based on energy and mass balances on and within a mature frost layer subjected to frost growth and densification, revealing that...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2019-11, Vol.108, p.104281, Article 104281
Main Authors: Hermes, Christian J.L., Sommers, Andrew D., Barbosa, Jader R.
Format: Article
Language:English
Subjects:
Frost accretion
Square-root-of-time rule
Time scaling
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Summary:This paper assesses the time evolution of three key parameters of frost accretion on flat surfaces: thickness, density, and accumulated mass. A scale analysis is conducted based on energy and mass balances on and within a mature frost layer subjected to frost growth and densification, revealing that both frost thickness and density obey the square-root-of-time rule typical of diffusive-dominant problems in transport phenomena. As a consequence, the accumulated frost mass varies linearly with time. The results have been corroborated with experimental data. The analysis also unveiled some physics hidden behind the classical Hayashi's density model, proving that it provides physically consistent results complying with the square-root-of-time rule.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2019.104281