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Dynamics of and heat transfer to a butane droplet evaporating in water

Dynamik und Wärmetransport an einen in Wasser verdampfenden Butan-Tropfen

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Abstract

The dynamics and the associated heat transfer process of butane droplets evaporating in water are investigated experimentally. New data are presented for the instantaneous growth, rise velocity and the heat transfer coefficient. The behaviour of the bubble-droplet, from the initial to the final stages of evaporation, is divided into four regions and is described with reference to similarities with the behaviour of a spherical droplet, spheroidal bubble-droplet, large spheroidal bubble and spherical cap bubble. The equations which represent the results for the heat transfer coefficient are given.

Zusammenfassung

Die Dynamik und der damit verbundene Wärmeübertragungsprozeß an einen in Wasser verdampfenden Butan-Tropfen werden experimentell untersucht. Es werden Meßergebnisse für die Dampfentwicklung, die Aufstiegsgeschwindigkeit und den Wärmeübergangskoeffizienten mitgeteilt. Das Verhalten des „Blasen-Tropfens“ vom Beginn bis zum Ende seiner Verdampfung wird in vier Abschnitte unterteilt und wird in Anlehnung an einen kugelförmigen Tropfen, einen spheroidalen BlasenTropfen, eine große spheroidale Blase und eine kugelkalottenförmige Blase beschrieben. Es werden Gleichungen angegeben, welche die gemessenen Wärmeübergangskoeffizienten nachvollziehen.

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Abbreviations

A :

Equivalent spherical area of bubble-droplet (m2)

D :

Equivalent spherical diameter of bubble-droplet (mm)

d :

Equivalent spherical diameter of initial droplet (mm)

Fr :

Froude number,Fr=U/(gDI2)1/2

h :

Instantaneous heat transfer coefficient (J/s m2 K)

h fg :

Heat of vaporisation (J/kg)

mv :

Mass of vapour (kg)

m0 :

Initial mass of droplet (kg)

Nu c :

Nusselt number

Pe c :

Peclet number

q :

Rate of heat transfer (J/s)

Re c :

Reynolds number

t :

Time (s)

T :

Saturation temperature (°C)

ΔT :

Temperature difference (°C)

ΔT 0 :

Overall temperature difference (°C)

U :

Rise velocity (m/s)

V v :

Vapour volume (m3)

V :

Bubble-droplet volume (m3)

ξ :

Vaporisation ratio,=m v/m0

ξ v :

Volume ratio,=V v/V

c :

Continuous phase

v :

Vapour

av:

Average

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Mokhtarzadeh-Dehghan, M.R., El-Shirbini, A.A. Dynamics of and heat transfer to a butane droplet evaporating in water. Wärme- und Stoffübertragung 20, 69–75 (1986). https://doi.org/10.1007/BF00999739

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