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Prediction of growth rate and density of frost layer developing under forced convection

Bestimmung der Wachstumsgeschwindigkeit und der Dichte von bei Zwangskonvektion entstehenden Eisschichten

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Abstract

An experimental study was carried out on heat and mass transfer rates, growth rates and the density of frost layers on a flat plate in forced convection conditions. The density and thickness of the frost layers were correlated by the dimensionless parameters introduced in the authors' previous paper [6]. Measured density and thickness of the frost layers are compared with those in natural convection conditions and with those measured by other investigators. It is shown that these parameters can also be used to generalize the density and growth rates of frost layers developed under forced convection conditions.

Zusammenfassung

Eine experimentelle Untersuchung des Wärmeund Stoffübergangs, der Wachstumsgeschwindigkeit und der Dichte einer Eisschicht an einer Platte unter Zwangskonvektionsbedingungen wurde durchgeführt. Die Dichte und Dicke der Eisschicht berechnet sich aus den dimensionslosen Parametern, die in der vorherigen Arbeit der Verfasser [6] eingeführt wurden. Die gemessene Dichte und Dicke der Eisschicht wird mit den Werten bei Naturkonvektion und denen von anderen Forschern verglichen.

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Abbreviations

D :

diffusion coefficient, m2/h

H F :

thickness of frost layer, m

h :

heat transfer coefficient, W/(m2K)

h D :

mass transfer coefficient, m/h

m x :

mass of frost layer, kg/m2

Nu x :

Nusselt number,hxλ a

Pr :

Prandtl number

qx :

convection heat flux, W/m2

R x :

Reynolds number,ux/v

Sc :

Schmidt number

Sh x :

Sherwood number,h D x/D

T :

temperature, K

u :

flow velocity, m/s

x :

length, m

λ a :

thermal conductivity of air, W/(m K)

λa :

density of humid air, kg/m3

ϱ f :

frost density, kg/m3

ϱ ice :

density of ice, kg/m3

ν :

kinematic viscosity, m2/h

τ :

time, h

:

frost surface

w :

wall (cooling surface)

1 :

water vapo

∞:

main flow

References

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Tokura, I., Saito, H. & Kishinami, K. Prediction of growth rate and density of frost layer developing under forced convection. Wärme- und Stoffübertragung 22, 285–290 (1988). https://doi.org/10.1007/BF01377254

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  • DOI: https://doi.org/10.1007/BF01377254

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