Numerical analysis of the close-contact heat transfer of the electro-thermal drilling probes for glacier-ice exploration

Park, Ui-Joon; Kang, Kyung‐Hwa; Lee, Hyung Ju; Jeong, Chan Ho; Park, Jin-Yeong; Lee, Seong Hyuk

doi:10.1007/s12206-021-0242-8

Cited by 4 publications

(1 citation statement)

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“…For instance, it is essential for development of heated drilling devices that can bore into ice by close-contact melting (Shreve 1962; Schüller & Kowalski 2017; Park et al. 2021), as well as design of platforms designated for standing on melting ice sheets (Lea & Stegall 1973). Other examples include analysing lubrication characteristics of moving sliders (Wilson 1976), and even development of self-burying nuclear reactors that can melt their way into the Earth's core once overheated (Emerman & Turcotte 1983).…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis of close-contact melting on superhydrophobic surfaces

Kozak

2022

J. Fluid Mech.

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The present study deals with close-contact melting of a vertical cylinder on a horizontal isothermal superhydrophobic surface with an array of circular posts. A new numerical model for this phenomenon is formulated under several simplifying assumptions. For the limiting case of perfect slip and thermal contact, based on the model assumptions, it is demonstrated that superhydrophobic surfaces can enhance the melting time by no more than 30 %. Numerical solution of the new model reveals that the effect of superhydrophobic hydrodynamic slip can decrease the molten layer thickness. However, due to the dominant effect of thermal slip, the heat transfer rate can be decreased significantly, and the melting time can be roughly doubled. An approximate analytical model is developed for understanding the problem dynamics better. The analytical model predictions are compared extensively against the numerical model results. For sufficiently low surface volume fractions, the analytical model provides excellent estimations of the numerical model predictions. Dimensional analysis reveals that according to the analytical model, the ratio between the melting times for superhydrophobic and regular surfaces is governed by a single dimensionless group. Moreover, according to the analytical model, the melting time on a superhydrophobic surface is always longer than on a regular surface, which agrees qualitatively with the numerical model results. Based on this analysis, a dimensionless condition for the analytical model range of validity is formulated. Finally, a conservative criterion for the liquid–gas interface stability under a close-contact melting process is established.

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