Recalescence dynamics and solidification of a supercooled melt in a finite domain

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985530%3A_____%2F20%3A00525449" target="_blank" >RIV/67985530:_____/20:00525449 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0017931020329847" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0017931020329847</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijheatmasstransfer.2020.120048" target="_blank" >10.1016/j.ijheatmasstransfer.2020.120048</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Recalescence dynamics and solidification of a supercooled melt in a finite domain

Popis výsledku v původním jazyce

We study the dynamics of supercooled solidification of a pure material in a finite domain subject to isothermal boundary conditions. At early stages when the liquid can effectively be treated as semi-infinite, we derive asymptotic solutions in the limits of both strong and weak latent-heat release, corresponding to large and small effective Stefan numbers, respectively. In particular, the solutions describing a rapid recalescence followed by a gradual change in the interfacial temperature are derived. Once the finite extent becomes effective, the system relaxes to an intermediate stage. For large Stefan numbers, the intermediate stage is quasi-steady, with the linear temperature profiles in the two phases and the interface temperature close to an equilibrium melting temperature. For Stefan numbers less than unity, the intermediate stage has a traveling-wave temperature profile in the liquid, similar to that in the one-sided problem, and a self-similar profile in the solid, where the temperature is close to the interface temperature through the whole solid except for a thermal boundary layer far from the interface. The model is applied to water, copper and salol, providing estimates for the freezing rates, interface position, and the recalescence and complete-freezing times in these pure systems.

Název v anglickém jazyce

Recalescence dynamics and solidification of a supercooled melt in a finite domain

Popis výsledku anglicky

We study the dynamics of supercooled solidification of a pure material in a finite domain subject to isothermal boundary conditions. At early stages when the liquid can effectively be treated as semi-infinite, we derive asymptotic solutions in the limits of both strong and weak latent-heat release, corresponding to large and small effective Stefan numbers, respectively. In particular, the solutions describing a rapid recalescence followed by a gradual change in the interfacial temperature are derived. Once the finite extent becomes effective, the system relaxes to an intermediate stage. For large Stefan numbers, the intermediate stage is quasi-steady, with the linear temperature profiles in the two phases and the interface temperature close to an equilibrium melting temperature. For Stefan numbers less than unity, the intermediate stage has a traveling-wave temperature profile in the liquid, similar to that in the one-sided problem, and a self-similar profile in the solid, where the temperature is close to the interface temperature through the whole solid except for a thermal boundary layer far from the interface. The model is applied to water, copper and salol, providing estimates for the freezing rates, interface position, and the recalescence and complete-freezing times in these pure systems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Heat and Mass Transfer

ISSN

0017-9310

e-ISSN

—

Svazek periodika

159

Číslo periodika v rámci svazku

October

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

120048

Kód UT WoS článku

000560367300005

EID výsledku v databázi Scopus

2-s2.0-85087133479