Mitas, B., Visuri, VV. & Schenk, J. Mathematical Modeling of the Ejected Droplet Size Distribution in the Vicinity of a Gas–Liquid Impingement Zone. Metall Mater Trans B 53, 3083–3094 (2022). https://doi.org/10.1007/s11663-022-02588-1

### Mathematical Modeling of the Ejected Droplet Size Distribution in the Vicinity of a Gas–Liquid Impingement Zone

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Author: Mitas, Bernhard1,2; Visuri, Ville-Valtteri3; Schenk, Johannes1,2
Organizations: 1Chair of Ferrous Metallurgy, Montanuniversitaet Leoben, Franz-Josef-Straße 18, 8700, Leoben, Austria
2K1-MET GmbH, Stahlstraße 14, 4020, Linz, Austria
3Process Metallurgy Research Unit, University of Oulu, 90014, Oulu, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 1.2 MB)
Language: English
Published: Springer Nature, 2022
Publish Date: 2022-12-28
Description:

# Abstract

The controlled splashing of metal droplets plays a decisive role in the kinetics of the basic oxygen furnace (BOF) process. In this work, a mathematical model was developed for predicting the size distribution of spherical droplets ejected at an impingement zone. Harmonic oscillators are used to describe the ejection sites, and the upper limit for the droplet population is calculated through a force balance. The model was validated against literature data from high-temperature crucible experiments involving different supply pressures and lance heights as well as both single-hole and multihole lances. The predicted size distribution of the metal droplets was found to be in good agreement with the droplet size distributions measured from outside the crucible. The model was also applied for predicting the size distribution parameters of the Rosin–Rammler–Sperling (RRS) size distribution function. The model developed is computationally light and is suitable to be used as a part of offline and online simulation tools for the BOF process.

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Series: Metallurgical and materials transactions. B, Process metallurgy and materials processing science
ISSN: 1073-5615
ISSN-E: 1543-1916
ISSN-L: 1073-5615
Volume: 53
Issue: 5
Pages: 3083 - 3094
DOI: 10.1007/s11663-022-02588-1