Abstract: This paper is concerned with the melting of a horizontal ice plate from above. The ice plate is placed in an enclosed adiabatic cavity. The upper hot plate is fixed at the temperature Th, and the initial ice temperature distribution, Tini is uniform. The side walls of the cavity and its bottom plate are adiabatic. Assuming that the ice melts by conduction of heat transfer, the melt thickness is predicted by an idea with connecting Neumann’s solution and an approximate solution introducing a critical time td. When the ice melts by natural convection with the maximum density at 4°C, the melt thickness is calculated by Neumann’s solution by the critical time tcr indicating the onset of natural convection, after which the melt thickness is predicted by an approximate solution including an average heat transfer coefficient calculated from a two-dimensional numerical calculation by PHOENICS Code. The major concern in this paper is to predict easily the melting of an ice plate by simple closed form approximate solution without difficult numerical analysis.
This paper is concerned with the melting of a horizontal ice plate from above. The ice plate is placed in an enclosed adiabatic cavity. The upper hot plate is fixed at the temperature and the initial ice temperature distribution, is uniform. The side walls of the cavity and its bottom plate are adiabatic. Assuming that the ice melts by conduction of heat transfer, the melt thickness is predicted by an idea with connecting Neumann’s solution and an approximate solution introducing a critical time When the ice melts by natural convection with the maximum density at 4°C, the melt thickness is calculated by Neumann’s solution by the critical time indicating the onset of natural convection, after which the melt thickness is predicted by an approximate solution including an average heat transfer coefficient calculated from a two-dimensional numerical calculation by PHOENICS Code. The major concern in this paper is to predict easily the melting of an ice plate by simple closed form approximate solution without difficult numerical analysis.
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Keywords and phrases: average heat transfer coefficient, two-dimensional numerical calculation by PHOENICS Code.
Received: July 1, 2022; Accepted: August 13, 2022; Published: September 30, 2022
How to cite this article: M. Sugawara and M. Tago, Melting from above of a horizontal ice plate in an adiabatic cavity, JP Journal of Heat and Mass Transfer 29 (2022), 137-162. http://dx.doi.org/10.17654/0973576322048
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