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MELTING OF AN ICE PLATE IN THE INCLINED RECTANGULAR CAVITY WITH HEAT GENERATING PLATE
Keywords:
melting of ice, natural convection, Benard’s cells, inclined cavity, maximum density, numerical calculation.DOI:
https://doi.org/10.17654/0973576323059Abstract
This paper is concerned with the melting of an ice plate in the inclined cavities of its angles $\theta=0$ (horizontal), 45, 90, 135 and $180 \mathrm{deg}$ (horizontal). The bottom hot plate in the thickness $b$ for $\theta=0 \mathrm{deg}$ generates heat per unit volume $Q\left(\mathrm{~W} / \mathrm{m}^3\right)$, and the top plate is of adiabatic. The transient melt thickness $X$ in the horizontal cavities can be predicted approximately by the steady state heat flux $q=Q b$ (i.e., constant melting rate) from the hot plate surface to the melt water until the ice plate melts out with keeping the flat ice plate during the melting process. On the other hand, the melting rate in the inclined cavities decreases gradually after the adiabatic plate is exposed to the melt water due to a partial melt from the side walls of the cavities. Therefore, the transient melt thickness cannot be predicted simply by the heat flux $q$ in the inclined cavities so that a numerical procedure is necessary to predict correctly the transient melt thickness. Many new interesting temperature fields and ice morphologies are presented in all cavity angles which utilized to understand complex melting phenomena calculated by the PHOENICS Code.
Received: October 6, 2023
Accepted: November 8, 2023
References
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