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Technical Brief

Prediction of Vapor Film Thickness Below a Leidenfrost Drop

[+] Author and Article Information
Arnab Dasgupta

Reactor Engineering Division,
Bhabha Atomic Research Centre,
Mumbai 400085, India
e-mails: arnie@barc.gov.in;
a.dasgupta@live.in

D. K. Chandraker

Reactor Engineering Division,
Bhabha Atomic Research Centre,
Mumbai 400085, India
e-mail: dineshkc@barc.gov.in

A. K. Nayak

Reactor Engineering Division,
Bhabha Atomic Research Centre,
Mumbai 400085, India
e-mail: arunths@barc.gov.in

P. K. Vijayan

Reactor Engineering Division,
Bhabha Atomic Research Centre,
Mumbai 400085, India
e-mail: vijayanp@barc.gov.in

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 24, 2014; final manuscript received March 1, 2015; published online August 11, 2015. Assoc. Editor: Suman Chakraborty.

J. Heat Transfer 137(12), 124501 (Aug 11, 2015) (5 pages) Paper No: HT-14-1234; doi: 10.1115/1.4030909 History: Received April 24, 2014

In this work, the vapor film thickness below a stagnant Leidenfrost drop at saturation temperature is predicted by performing a balance of the dominant forces acting on the drop. Inclusion of a new momentum force term is proposed. Two assumptions are considered for the radial velocity of vapor at drop–vapor interface. One of them is zero radial velocity at interface and the other is zero shear at interface. The actual scenario is expected to lie between these extremes. This is also supported by the comparison against experimental data on vapor film thickness. The effect of convection in the vapor layer is also modeled and it is shown that the use of ad hoc heat transfer coefficients in the vapor layer to explain difference between experiments and prediction is incorrect. Finally, it is highlighted that accurate prediction of the vapor layer characteristics also requires proper quantification of the shape of the drop–vapor interface.

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References

Figures

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Fig. 1

Forces acting on the Leidenfrost drop

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Fig. 3

Temperature field in vapor layer for drop radius of 6 mm

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Fig. 2

Predicted and calculated vapor film thickness

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Fig. 4

Predicted temperature gradients at drop–vapor interface

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Fig. 5

Nusselt number variation with Reynolds number

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Fig. 6

Computed drop shapes for two different drop radii

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