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Research Papers: Evaporation, Boiling, and Condensation

The Dynamics of Bubble Growth at Medium-High Superheat: Boiling in an Infinite Medium and on a Wall

[+] Author and Article Information
Herman D. Haustein

Mem. ASME
Institute of Heat and Mass Transfer,
Faculty of Mechanical Engineering,
RWTH Aachen University,
Aachen, NRW, 52056, Germany
e-mail: haustein@wsa.rwth-aachen.de

Alon Gany

Professor
Mem. ASME
Fine Rocket Propulsion Lab,
Faculty of Aerospace Engineering,
Technion – Israel Institute of Technology,
Haifa, 32000, Israel
e-mail: gany@technion.ac.il

Georg F. Dietze

Mech. Eng. Faculty,
Inst. of Heat & Mass Transfer,
RWTH Aachen University,
Aachen, NRW, 52056, Germany
e-mail: dietze@wsa.rwth-aachen.de

Ezra Elias

Professor
Mech. Eng. Faculty,
Technion – Israel Institute of Technology,
Haifa, 32000, Israel
e-mail: merezra@technion.ac.il

Reinhold Kneer

Professor
Institute Head Mech. Eng.
Faculty Inst. of Heat and Mass Transfer,
RWTH Aachen University,
Aachen, NRW, 52056, Germany
e-mail: kneer@wsa.rwth-aachen.de

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 28, 2012; final manuscript received February 16, 2013; published online June 6, 2013. Assoc. Editor: Bruce L. Drolen.

J. Heat Transfer 135(7), 071501 (Jun 06, 2013) (9 pages) Paper No: HT-12-1077; doi: 10.1115/1.4023746 History: Received February 28, 2012; Revised February 16, 2013

At high superheat, bubble growth is rapid and the heat transfer is dominated by radial convection. This has been found, in the case of a droplet boiling within another liquid and in the case of a bubble growing on a heated wall, leading to similar bubble growth curves. Based on an experimental parametric study for the droplet-boiling case, an empirical model was developed for the prediction of bubble growth, within the radial convection dominated regime (the RCD model) occurring only at high superheat. This model suggests a dependence of R∼t1/3—equivalent to a Nusselt number decreasing over time (Nu∼t−1/3), as opposed to R∼t1/2 —equivalent to a highly-unlikely constant Nusselt number, in most other models. The new model provides accurate prediction for both the droplet boiling and nucleate pool boiling cases, in the medium-high superheat range (0.26<Ste <0.41, 0.19<Ste<0.30, accordingly). By comparison, the new RCD model shows a more consistent prediction, than previous empirical models. However, in the nucleate boiling case, the RCD model requires the foreknowledge of the departure diameter, for which a reliable model still is lacking.

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Figures

Grahic Jump Location
Fig. 1

Schematic of the two cases examined, and corresponding coordinates

Grahic Jump Location
Fig. 4

Typical pressure drop and resulting boiling curve, at high superheat level, Ste∼0.32; see explanation of time-points in text

Grahic Jump Location
Fig. 3

Boiling sequence of a 2.1 mm propane droplet in water (liquid appears light, vapor bubble appears dark)

Grahic Jump Location
Fig. 2

Schematic of experimental water column setup

Grahic Jump Location
Fig. 7

Prediction of bubble growth rate at high superheat, Ste=0.39 (time is shifted so that t2=0)

Grahic Jump Location
Fig. 5

Dependence of averaged dimensionless droplet boiling-rate on superheat: (a) comparison to other ranges in the literature; (b) close-up of present results, empirical model fit ((Eq. (11)) and 95% confidence

Grahic Jump Location
Fig. 6

RCD model prediction of bubble growth at medium superheat (Ste=0.27) and elevated pressure (2.7 atm)

Grahic Jump Location
Fig. 8

Prediction of bubble growth in FC-72 at atmospheric conditions, Moghaddam and Kegir [14], Ste=0.3 (or Ja=40)

Grahic Jump Location
Fig. 9

Prediction of bubble growth in FC-77 at atmospheric conditions, McHale and Garimella [15], Ste=0.22 (or Ja=24)

Grahic Jump Location
Fig. 10

Prediction of bubble growth in Pentane at 70 kPa, Cole and Shulman [13], Ste=0.19 (or Ja=54)

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