Evaporation of a liquid drop immersed in another immiscible liquid. The case of σc &lt; σd

Gradoń, Leon; Selecki, A.

doi:10.1016/0017-9310(77)90092-8

Cited by 22 publications

(4 citation statements)

References 5 publications

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“…However, this method needs to be better understood to be made economically viable. Among earlier investigations are those reported by Klipstein (1963); Sideman and Taitel (1964); Sideman and Hirsh (1964); Sideman et al (1965); Sideman and Isenberg (1967); Prakash and Pinder (1967); Filatkin and Dolotov (1970); Adams and Pinder (1972); Gradon (1972, 1976); Nazir (1972); Simpson and Beggs (1974); Tochitani et al (1975Tochitani et al ( , 1977; Gradon and Selecki (1977); Mokhtarzadeh and El-Shirbini (1979); Sambi (1981); Raina (1982); Raina and Grover (1982); Raina et al (1984); Raina and Grover (1985); and Raina and Wanchoo (1986).…”

mentioning

confidence: 93%

“…The study made by Selecki and Gradon (1972) and Gradon and Selecki (1977) reveals that if the surface tension of the continuous phase is higher than the surface tension of the droplet and the average density of the two-phase bubble is smaller than the density of continuous phase, the growing two phase bubble will move upward with vapor accumulating at the top of the residual liquid.…”

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confidence: 99%

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Motion of a two‐phase bubble through a quiescent liquid

Wanchoo¹,

Raina²

1987

Can J Chem Eng

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The motion of a two‐phase bubble in immiscible liquids is associated with the development of three‐phase heat exchangers applicable for heat transfer at low driving forces. An analytical expression for the instantaneous velocity of a two‐phase bubble moving through a quiescent, less viscous, immiscible liquid has been developed. This expression predicts, very well, the available experimental data over the whole operational range of temperature and initial drop diameter.

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confidence: 93%

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confidence: 99%

Motion of a two‐phase bubble through a quiescent liquid

Wanchoo¹,

Raina²

1987

Can J Chem Eng

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“…They assumed the drop to be of spherical shape in their theoretical analysis and applied Stokes drag to obtain the terminal velocity. Selecki & Gradon (1976) and Gradon & Selecki (1977) integrated the one-dimensional momentum equation to obtain the travel distance of the drop as a function of time. A similar solution was also obtained by Mokhtarzadeh & El-Shirbini (1979), and by Battya, Raghavan & Seetharamu (1984).…”

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confidence: 99%

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

Vuong

Sadhal

1989

J. Fluid Mech.

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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.

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“…Simpson et al (1974b) note a nearly constant velocity until the diameter reaches its critical limit and then an increase in velocity. Motion of an evaporating droplet due to buoyancy has been studied theoretically and experimentally by Selecki and Gradon (1977), Tochitani et al (1977), and Raina et al (1 984). The latter authors have also included this effect in their theoretical heat transfer models.…”

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confidence: 99%

Heat transfer and population characteristics of dispersed evaporating droplets

Core

Mulligan

1990

AIChE Journal

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The direct-contact heat transfer to a dispersed population of immiscible evaporating droplets is analyzed. Also studied is a population balance formulation for the distribution of two-phase bubbles, which is similar to that utilized in particle and droplet dispersion analysis and is capable of including bubble coalescence and break-up. It is shown that the method of classes is useful particularly in solving such problems when the growth functions are size-and time-dependent and nonquadratic. The method is applied to a liquid cool-down, representing the initial chilling stage of a direct-contact batch crystallizer or coldstorage unit wherein a vessel containing a liquid is chilled by injecting a dispersion of refrigerant droplets. Transient bubble population characteristics, volumetric heat transfer coefficient, total heat transfer, and liquid temperature are predicted, along with the liquid refrigerant holdup.

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Evaporation of a liquid drop immersed in another immiscible liquid. The case of σc < σd

Cited by 22 publications

References 5 publications

Motion of a two‐phase bubble through a quiescent liquid

Motion of a two‐phase bubble through a quiescent liquid

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

Heat transfer and population characteristics of dispersed evaporating droplets

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