J. W. Elliott
Ice formation on a smooth or rough cold surface due to the impact of a supercooled water droplet
Elliott, J. W.; Smith, F. T.
F. T. Smith
Ice accretion is considered in the impact of a supercooled water droplet on a smooth or rough solid surface, the roughness accounting for earlier icing. In this theoretical investigation the emphasis and novelty lie in the full nonlinear interplay of the droplet motion and the growth of the ice surface being addressed for relatively small times, over a realistic range of Reynolds numbers, Froude numbers, Weber numbers, Stefan numbers and capillary underheating parameters. The Prandtl number and the kinetic under-heating parameter are taken to be order unity. The ice accretion brings inner layers into play forcibly, affecting the outer flow. (The work includes viscous effects in an isothermal impact without phase change, as a special case, and the differences between impact with and without freezing.) There are four main findings. First, the icing dynamically can accelerate or decelerate the spreading of the droplet whereas roughness on its own tends to decelerate spreading. The interaction between the two and the implications for successive freezings are found to be subtle. Second, a focus on the dominant physical effects reveals a multi-structure within which restricted regions of turbulence are implied. The third main finding is an essentially parabolic shape for a single droplet freezing under certain conditions. Fourth is a connection with a body of experimental and engineering work and with practical findings to the extent that the explicit predictions here for ice-accretion rates are found to agree with the experimental range. .
|Publication Date||Feb 1, 2017|
|Journal||Journal of engineering mathematics|
|Peer Reviewed||Peer Reviewed|
|APA6 Citation||Elliott, J. W., & Smith, F. T. (2017). Ice formation on a smooth or rough cold surface due to the impact of a supercooled water droplet. Journal of engineering mathematics, 102(1), 35-64. https://doi.org/10.1007/s10665-015-9784-z|
|Keywords||Ice accretion, Droplets, Supercooled, Multi-structure|
|Copyright Statement||©2016 University of Hull|
|Additional Information||Author's accepted manuscript of an article which has been published in: Journal of engineering mathematics, 2017, v.102, issue 1. The final publication is available at Springer via http://dx.doi.org/10.1007/s10665-015-9784-z|
©2016 University of Hull