Mathematical simulation of heating and melting of solid ice in a carbon steel pipe coated with a resistive heating system

Rad, M.; McDonald, André

doi:10.1016/j.ijheatmasstransfer.2019.04.088

Cited by 9 publications

(2 citation statements)

References 26 publications

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“…The validity of the model and its assumptions deserve further comment here. Interesting qualitative observations indirectly related to the present work are in [3,[5][6][7]9,[13][14][15]17,30,34,35] for example, but we have found no quantitative scientific papers in the open literature of direct relevance to this specific modelling study. The problem area addressed in the current work is a fundamental scientific one and we would hope that the findings here may lead to experiments or direct numerical simulations on this fundamental area.…”

Section: Conclusion and Further Discussionmentioning

confidence: 75%

“…The melting of ice lumps or sheets may occur either because of action from atmospheric air flow over the ice or because of the sea or ocean flow underneath, and likewise for accretion. On a different scale, ice formation in cold weather is a continual problem for plumbing in buildings, particularly in water supply pipes [13][14][15], while similar issues arise in larger supply lines [16]. Ice growth on telegraph wires in cold wind poses another hazard [17].…”

Section: Introductionmentioning

confidence: 99%

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Melting of wall-mounted ice in shear flow

Jolley,

Dang,

Smith

2024

Proc. R. Soc. A.

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The melting of wall-mounted ice deep inside a water layer flow is investigated, the ice being initially in the form of a slender hump or step-up and the oncoming water upstream near the wall being warmer than the ice. The wall is at the same temperature as the oncoming water except beneath the ice where the wall temperature is the same as that of the ice. The unsteady interaction of the flow, heat transfer and phase change is studied analytically and computationally for a basic pure-ice model in two spatial dimensions at high flow rates. In-flow predictions of ice-shape evolution are presented along with the complete melting times and the vanishing points where melting is completed on the solid surface. This is for a range of initial conditions and background heat transfers. The unsteady movement of the contact points at the edges of the ice formation is determined explicitly for the cases of humps and steps, together with the ultimate behaviours of both the ice humps and the ice steps. Effects of reducing the sub-ice wall temperature and accretion leading to flow separation are also discussed.

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