JP Journal of Heat and Mass Transfer
Volume 35, , Pages 21 - 40
(October 2023) http://dx.doi.org/10.17654/0973576323040 |
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MELTING FROM BELOW OF A HORIZONTAL ICE PLATE IN A RECTANGULAR CAVITY
M. Sugawara and M. Tago
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Abstract: This paper is concerned with the melting of a horizontal ice plate from below. The bottom hot plate is fixed at the temperature higher than 5℃ and lower than 25℃, and an initial ice temperature is the melting point (0℃). The ice plate melts after the onset of natural convection based on the maximum density at 4℃. The average heat transfer coefficient in the melting by natural convection is obtained by means of the numerical calculations on the PHOENICS Code. Melt thickness X can be predicted by the Neumann’s solution in the beginning of the melting. After the natural convection appeared, the transient melt thickness is predicted approximately by a simple closed form analytical solution including optimal average heat transfer coefficient determined by the numerical solutions. The average heat transfer coefficient in the range of can be estimated by the experimental results of the Nusselt number (Nu) and the Rayleigh number (Ra) in the common liquids without the maximum density.
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Keywords and phrases: melting of ice, maximum density, onset of natural convection, heat transfer coefficient, approximate solution. |
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