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UKnowledge > College of Engineering > Research for Technology Development > PSMIJ > Vol. 7 (2026) > Iss. 1

 

Abstract

Physical model construction and experiment are essential for scientific investigations of flow phenomena such as high temperature two phase flow of molten metal and inert gas. It has been a common method to construct a physical model with a convenient scale then proceed experiments under similitude condition of one or two dimensionless number(s) of dominant forces to represent. It is an ideal experimental method to satisfy the simultaneous similitude condition of multiple dimensionless numbers concerned with the objective flow phenomena but has been considered difficult or impossible to realize for many years. Contrarily, the concept of the simultaneous similitude of multiple dimensionless numbers (SMDN); the Froude, Reynolds, Weber, Galilei, capillary, Eötvös and Morton numbers, has been proposed by present authors in 2021 expressing a simple relationship between physical properties of fluids and scale ratio of physical model. The SMDN principle is applicable for many types of incompressible fluids to represent flow phenomena by another experimental fluids. However, I didn’t mention in the previous paper the case to represent interfacial phenomena between two liquids satisfying the SMDN principle. In the present paper, a study on the molten slag entrapment behavior into molten steel has been carried out extending the experimental principle of SMDN to slag-metal interfacial phenomena to clarify the quantitative effects of viscosity of the molten slag and interfacial tension between molten slag and molten steel.

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

DOI

https://doi.org/10.13023/psmij.2026.07-01-02

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