Axisymmetric natural convection-driven evaporation of hot water and the Mpemba effect

The Mpemba effect is popularly summarized by the statement that “hot water can freeze faster than cold”, and has been observed experimentally since the time of Aristotle; however, there exist almost no theoretical models that predict the effect. This paper considers experimentally and theoretically...

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Veröffentlicht in:	International journal of heat and mass transfer 2012-11, Vol.55 (23-24), p.7297-7311
Hauptverfasser:	Vynnycky, M., Maeno, N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Boundaries Convection modes Evaporation Evaporative cooling Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat transfer Heat transfer in inhomogeneous media, in porous media, and through interfaces Hot water Mass transfer Mathematical analysis Mathematical models Mpemba effect Physics
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container_end_page	7311
container_issue	23-24
container_start_page	7297
container_title	International journal of heat and mass transfer
container_volume	55
creator	Vynnycky, M. Maeno, N.
description	The Mpemba effect is popularly summarized by the statement that “hot water can freeze faster than cold”, and has been observed experimentally since the time of Aristotle; however, there exist almost no theoretical models that predict the effect. This paper considers experimentally and theoretically the cooling of a circular pool of water. A model is derived that takes into account conduction, natural convection, evaporation and thermal radiation. The governing equations are nondimensionalized and asymptotically reduced to yield a one-dimensional moving boundary problem that is solved numerically. Whilst the model may need some refinement in the future, the preliminary results are encouraging, indicating that it can predict the occurrence of the Mpemba effect.
doi_str_mv	10.1016/j.ijheatmasstransfer.2012.07.060
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subjects	Asymptotic properties Boundaries Convection modes Evaporation Evaporative cooling Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat transfer Heat transfer in inhomogeneous media, in porous media, and through interfaces Hot water Mass transfer Mathematical analysis Mathematical models Mpemba effect Physics
title	Axisymmetric natural convection-driven evaporation of hot water and the Mpemba effect
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