Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-28T05:16:20.910Z Has data issue: false hasContentIssue false
  • English
  • Français

Growth and translation of a liquid-vapour compound drop in a second liquid. Part 2. Heat transfer

Published online by Cambridge University Press:  26 April 2006

S. T. Vuong  and
S. S. Sadhal
S. T. Vuong
Affiliation:
Department of Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453, USA
S. S. Sadhal
Affiliation:
Department of Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The present work is a comprehensive theoretical study of the heat transfer associated with a 3-singlet compound drop that is growing because of change of phase. The geometry is the same as in Part 1, i.e. a vapour bubble partially surrounded by its own liquid in another immiscible liquid. The attempt here is to gain fundamental understanding of the transport processes that take place in connection with direct-contact heat exchange. The fluid dynamics associated with its growth and translation is treated in Part 1. Here, that flow field solution is used to obtain the temperature field and hence the evaporation rate. The energy equation for the system consisting of a single compound drop is solved numerically by finite-difference methods. The results give the complete time history of evaporation of the drop. In addition, useful quantities such as the Nusselt number are given and compared with existing experimental data. Most of the results have good agreement with experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 209 , December 1989 , pp. 639 - 660
Copyright
© 1989 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adams, A. E. S. & Pinder, K. L. 1972 Average heat transfer coefficient during the direct evaporation of a liquid drop. Can. J. Chem. Engng 50, 707–713.Google Scholar
Battya, P., Raghavan, R. & Seetharamu, K. M. 1984 Parametric studies on direct contact evaporation of a drop in an immiscible liquid. Intl J. Heat Mass Transfer 27, 263–272.Google Scholar
Chung, J. N. & Ayyaswamy, P. S. 1981 Laminar condensation heat and mass transfer to a moving drop. AiChE J. 27, 372–377.Google Scholar
Chung, J. N., Ayyaswamy, P. S. & Sadhal, S. S. 1984a Laminar condensation on a moving drop. Part 1. Singular perturbation technique. J. Fluid Mech. 139, 105–130.Google Scholar
Chung, J. N., Ayyaswamy, P. S. & Sadhal, S. S. 1984b Laminar condensation on a moving drop. Part 2. Numerical solutions. J. Fluid Mech. 139, 105–130.Google Scholar
Chung, J. N., Oliver, D. L. R. & Carleson, T. E. 1985 Transient heat transfer in a fluid sphere translating in an electric field. 22nd Natl Heat Transfer Conference, Denver, Colorado, August 4–7, 1985, paper 85-HT-75.Google Scholar
Gradon, L. & Selecki, A. 1977 Evaporation of a liquid drop immersed in another immiscible liquid. The case of σc < σd. Intl J. Heat Mass Transfer 20, 459–466.Google Scholar
Hayakawa, T. & Shigeta, M. 1974 Terminal velocity of a two phase droplet. J. Chem. Eng. Japan 7, 140–142.Google Scholar
Jacobs, H. R. & Major, B. H. 1982 The effect of noncondensible gases on bubble condensation in an immiscible liquid. Trans. ASME C: J. Heat Transfer 104, 487–492.Google Scholar
Johnson, R. E. & Sadhal, S. S. 1985 Fluid dynamics of compound multiphase drops and bubbles. Ann. Rev. Fluid Mech. 17, 289–320.Google Scholar
Klipstein, D. H. 1963 Heat transfer to a vaporizing immisicible drop. D.Sc. thesis. M.I.T., Cambridge, MA.
Lerner, Y. & Letan, R. 1985 Dynamics of condensing bubbles: effects of injection frequency. 22nd Natl Heat Transfer Conference, Denver, Colorado, August 4–7, 1985, paper 85-HT-47.Google Scholar
Mokhtarzadeh, M. R. & El-Shirbini, A. A. 1979 A theoretical analysis of evaporating droplets in an immiscible liquid. Intl J. Heat Mass Transfer 22, 27–38.Google Scholar
Mori, Y. H., Nagai, K., Funaba, H. & Komotori, K. 1981 Cooling of freely failing liquid drops with a shell of an immiscible volatile liquid. Trans. ASME C: J. Heat Transfer 103, 508–513.Google Scholar
Oguz, H. N. & Sadhal, S. S. 1987 Growth and collapse of translating compound multiphase drops: analysis of fluid mechanics and heat transfer. J. Fluid Mech. 179, 105–136.Google Scholar
Plesset, M. S. & Prosperetti, A. 1976 Flow of vapour in a liquid enclosure. J. Fluid Mech. 78, 433–444.Google Scholar
Prakash, C. B. & Pinder, K. L. 1967a Direct contact heat transfer between two immiscible liquids during vaporization. Part I. Measurement of heat transfer coefficient. Can. J. Chem. Engng 45, 210–214.Google Scholar
Prakash, C. B. & Pinder, K. L. 1967b Direct contact heat transfer between two immiscible liquids during vaporization. Part II. Total evaporation time. Can. J. Chem. Engng 45, 215–220.Google Scholar
Raina, G. K. & Grover, P. D. 1982 Direct contact heat transfer with change of phase: theoretical model. AIChE J. 28, 515–517.Google Scholar
Raina, G. K. & Grover, P. D. 1985 Direct contact heat transfer with change of phase: theoretical model incorporating sloshing effects. AIChE. J. 31, 507–509.CrossRefGoogle Scholar
Raina, G. K. & Wanchoo, R. K. 1986 Direct contact heat transfer with change of phase: bubble growth and collapse. Can. J. Chem. Engng 64, 393–398.Google Scholar
Raina, G. K., Wanchoo, R. K. & Grover, P. D. 1984 Direct contact heat transfer with change of phase: motion of evaporating droplets. AIChE J. 30, 835–837.CrossRefGoogle Scholar
Selecki, A. & Gradon, L. 1976 Equation of motion of an expanding vapor drop in an immiscible liquid medium. Intl J. Heat Mass Transfer 19, 925–929.Google Scholar
Sideman, S., Hirsch, G. & Gat, Y. 1965 Direct contact heat transfer with change of phase: effect of the initial drop size in three-phase heat-exchanger. AIChE J. 11, 1081–1087.CrossRefGoogle Scholar
Sideman, S. & Taitel, Y. 1964 Direct contact heat transfer with change of phase: evaporation of drops in an immiscible liquid medium. Intl J. Heat Mass Transfer 7, 1273–1289.Google Scholar
Simpson, H. C., Beggs, G. C. & Nazir, M. 1974 Evaporation of a droplet of one liquid rising through a second immiscible liquid: a new theory of the heat transfer process. In Proc. 5th Intl Heat Transfer Conf., Tokyo, 3–7 September, vol. 5, pp. 59–63.Google Scholar
Sundararajana, T. & Ayyaswamy, P. S. 1984 Hydrodynamics and heat transfer associated with condensation on a moving drop: solutions for intermediate Reynolds numbers. J. Fluid Mech. 149, 33–58.Google Scholar
Tadrist, L. Diso, I. Shehu, Santini, R. & Pantaloni, J. 1987 Vaporization of a liquid by direct contact in another immiscible liquid. Part I: Vaporization of a single droplet. Part II. Vaporization of rising multidroplets. Intl J. Heat Mass Transfer 30, 1773–1785.Google Scholar
Tochitani, Y., Mori, Y. H. & Komotori, K. 1977a Vaporization of single drops in an immiscible liquid. Part I. Forms and motions of vaporizing drops. Wärme Stoffübertrag. 10, 51–59.Google Scholar
Tochitani, Y., Nakagawa, T., Mori, Y. H. & Komotori, K. 1977b Vaporization of single liquid drops in an immiscible liquid. Part II. Heat transfer characteristics. Wärme Stoffübertrag. 10, 71–79.Google Scholar
Vuong, S. T. & Sadhal, S. S. 1989 Growth and translation of a liquid-vapour compound drop in a second liquid. Part 1. Fluid mechanics. J. Fluid Mech. 209, 617–637.Google Scholar