Ice and water film growth from incoming supercooled droplets

Myers, T.G.; Hammond, David W.

doi:10.1016/s0017-9310(98)00237-3

Cited by 95 publications

(61 citation statements)

References 11 publications

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“…This results in a freezing fraction which is always less than the true value [13]. Recently the one-dimensional icing model has been solved by adopting a Stefan approach, namely solving simultaneously for the temperature profiles and layer thicknesses [13,14]. In the limit of a very thin water layer or at large times this model reproduces the accretion rate predicted by Messinger. In order to accurately predict accretion an icing model must be coupled to a water film flow model.…”

Section: Introductionmentioning

confidence: 88%

See 1 more Smart Citation

A mathematical model for atmospheric ice accretion and water flow on a cold surface

Myers¹,

Charpin²

2004

International Journal of Heat and Mass Transfer

Self Cite

171

106

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Section: Introductionmentioning

confidence: 88%

“…For an accreting ice surface this will hold provided the ice layer is less than 2.4 cm and the water layer less than 3 mm [13,14]. In this situation, terms of OðPeÞ, where the Peclet number, Pe, is the ratio of advection to conduction terms, will therefore be neglected; this will be discussed later.…”

Section: Thermal Problemmentioning

confidence: 99%

A mathematical model for atmospheric ice accretion and water flow on a cold surface

Myers¹,

Charpin²

2004

International Journal of Heat and Mass Transfer

Self Cite

171

106

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“…Obviously it is a simple matter to adapt this to an imperfect thermal contact and a variable substrate temperature by choosing a cooling condition. For one-dimensional ice accretion this is considered in Myers & Hammond [19].…”

Section: Solidificationmentioning

confidence: 99%

The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface

Myers¹,

Charpin²,

Chapman³

2002

Physics of Fluids

142

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“…If this fraction is larger than 1, then the model predicts rime icing conditions, while a value between 0 and 1 indicates glaze conditions. Myers & Hammond (1999) and Myers (2001) improve upon the Messinger model by proposing a one-dimensional Stefan problem formulation of ice growth on a flat substrate. They specify a sub-freezing temperature on an initially dry plate, with ice growth occurring in two stages.…”

Section: Introductionmentioning

confidence: 99%

Ice formation within a thin film flowing over a flat plate

2017

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We present a model for ice formation in a thin, viscous liquid film driven by a Blasius boundary layer after heating is switched off along part of the flat plate. The flow is assumed to initially be in the Nelson et al. (1995) steady-state configuration with a constant flux of liquid supplied at the tip of the plate, so that the film thickness grows like x 1/4 in distance along the plate. Plate cooling is applied downstream of a point, Lx 0 , an O(L)-distance from the tip of the plate, where L is much larger than the film thickness. The cooling is assumed to be slow enough that the flow is quasi-steady. We present a thorough asymptotic derivation of the governing equations from the incompressible Navier-Stokes equations in each fluid and the corresponding Stefan problem for ice growth. The problem breaks down into two temporal regimes corresponding to the relative size of the temperature difference across the ice, which are analysed in detail asymptotically and numerically. In each regime, two distinct spatial regions arise, an outer region on the lengthscale of the plate, and an inner region close to x 0 in which the film and air are driven over the growing ice layer. Moreover, in the early-time regime, there is an additional intermediate region in which the air-water interface propagates a slope discontinuity downstream due to the sudden onset of the ice at the switch-off point. For each regime, we present ice profiles and growth rates, and show that for large times, the film is predicted to rupture in the outer region when the slope discontinuity becomes sufficiently enhanced.Key words: Authors should not enter keywords on the manuscript, as these must be chosen by the author during the online submission process and will then be added during the typesetting process (see http://journals.cambridge.org/data/relatedlink/jfmkeywords.pdf for the full list)

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Ice and water film growth from incoming supercooled droplets

Cited by 95 publications

References 11 publications

A mathematical model for atmospheric ice accretion and water flow on a cold surface

A mathematical model for atmospheric ice accretion and water flow on a cold surface

The flow and solidification of a thin fluid film on an arbitrary three-dimensional surface

Ice formation within a thin film flowing over a flat plate

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