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Drop Nusselt numbers in dropwise condensation

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Abstract

Most of the theoretical studies in dropwise condensation have based their analysis on the principle that the heat transfer rate limiting mechanism in dropwise condensation is the conduction of heat through drops. Based on this principle, Fatica and Katz presented shape factor values for droplets and these values have been used by other studies.

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Abbreviations

C :

constant, Eq. (2)

C1:

constant, Eq. (30)

D :

drop diameter

f(θ M):

shape factor

h :

heat transfer coefficient

K :

thermal conductivity

L :

latent heat of condensation

m :

drop growth constant

Nu :

Nusselt number

q :

heat flux

R :

drop radius

T :

temperature

t :

time

r, ϕ, ψ :

spherical coordinates

x, y :

length coordinates

θ M :

contact angle between the solid and the liquid

ρ :

density

μ :

cos ψ

d:

drop

ds:

spherical drop segment

l:

liquid

sat:

saturation conditions

s:

surface

v:

vapour

y:

height of spherical segment

—:

integral transform

References

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  2. Umur, A. and P. Griffith, Mechanism of Dropwise Condensation, ASME, Paper No. 64-WA/HT-3, (1964).

  3. Mikic, B. B., Int. J. Heat Mass Transfer 10 (1969) 1311.

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  4. McCormick, J. L. and E. Bear, Devel. in Mech., Proc. of 8th Midwestern Mech. Conf. 1963, 2 (1965) 749.

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  5. McCormick, J. L. and E. Bear, Journ. of Colloid Science 18 (1963) 208.

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  6. Fatica, N. and D. L. Katz, Chem. Eng. Progress 45 (1949) 661.

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  9. Welch, J. F. and J. W. Westwater, Microscopic Study of Dropwise Condensation, Int. Dev. in Heat Trans. II (1961) 302.

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  10. Ozisik, M. N., Boundary Value Problems of Heat Conduction, International Text Book Company, Scranton, Pennsylvania, 1968.

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  11. McCormick, J. L. and J. W. Westwater, Chem. Eng. Prog. Sym. Series 62 (1966) 120.

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  12. Nijaguna, B. T., Precoalescence Droplet Growth in Dropwise Condensation, Ph.D. Thesis, Dept. Mech. Engg., Univ. of Toronto, 1970.

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Nijaguna, B.T. Drop Nusselt numbers in dropwise condensation. Appl. Sci. Res. 29, 226–236 (1974). https://doi.org/10.1007/BF00384146

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  • DOI: https://doi.org/10.1007/BF00384146

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