Regular Article

Mathematical model of supersonic jet centerline velocity for multi-nozzle oxygen lance

¹ School of Materials and Metallurgy, University of Science and Technology Liaoning, Anshan 114051, China
² Iron and Steel Research Institute, Ansteel Group, Anshan 114009, China
³ School of Civil Engineering, University of Science and Technology Liaoning, Anshan 114051, China

^* e-mail: lgqiang0305@sina.com

Received: 1 April 2022
Accepted: 6 July 2022

Abstract

The supersonic jet characteristics of multi-nozzle oxygen lance are the key to the quality of converter steelmaking. It is of great significance to clarify the velocity distribution characteristics of multi nozzle jet centerline to guide the production practice of converter steelmaking. Taking the oxygen lance for 260 t converter as the object, a three-dimensional geometric model is established to study the distribution characteristics of jet centerline velocity under different Mach number and inclination. The synergistic effect of Mach number and orifice inclination on jet attenuation is mainly studied. The mathematical expressions of jet deflection, Mach number and jet inclination are established, the calculation method of jet centerline deviation is proposed, and the previous mathematical model of jet centerline velocity is improved. The results show that the momentum transfer coefficient K_j of multi-nozzle oxygen lance is not only related to Mach number, but also affected by jet inclination. The deviation between the corrected mathematical model and the field measured results is 4.3%.