Modeling of ascending/descending velocity of metal droplet emulsified in Pb-salt system

Duk Yong Song, Nobuhiro Maruoka, Govind Sharan Gupta, Hiroyuki Shibata, Shin Ya Kitamura, Smita Kamble

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


Metal-slag emulsion is an important process to enhance the reaction rate between the two phases; thus, it improves the heat and mass transfer of the process significantly. Various experimental studies have been carried out, and some system specific relations have been proposed by various investigators. A unified, theoretical study is lacking to model this complex phenomenon. Therefore, two simple models based on fundamental laws for metal droplet velocity (both ascending and descending) and bubble velocity, as well as its position at any instant of time, have been proposed. Analytical solutions have been obtained for the developed equations. Analytical solutions have been verified for the droplet velocity, traveling time, and size distribution in slag phase by performing high-temperature experiments in a Pb-salt system and comparing the obtained data with theory. The proposed model has also been verified with published experimental data for various liquid systems with a wide range of physical properties. A good agreement has been found between the analytical solution and the experimental and published data in all cases.

Original languageEnglish
Pages (from-to)973-983
Number of pages11
JournalMetallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science
Issue number4
Publication statusPublished - 2012 Aug


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