Математична модель процесу скловаріння

Abstract

Nowadays it is hard to re-valuate the importance of glass and glass products. Glass is used in construction, medicine, food packaging and chemical industry. As those domains continue to develop, they require even higher quality of glass products. Glass production plant is a complex facility that consists of multiple premises used at various stages of glassmaking: storage, batch preparation, glass melting (glass furnace) and product packaging. Glass furnace is a complex technological object. Chemical and physical transformations in the furnace occur simultaneously along with three types of heat exchange for both gas and liquid media. Glassmaking process is characterized by two interdependent parameters that affect the quality of glass products. An efficient process control system is needed to ensure the uninterrupted operation of a glass furnace at given process conditions in order to reach the desired quality of glass products. Development of the efficient control system is based on experimental data. Collecting of glass furnace data through experiment would certainly lead to unacceptable production losses: either due to production rejects or incidents. Usage of glass furnace model is the only alternative to avoid production losses during glassmaking process control system development. This article is dedicated to creation of glassmaking model by combining models of numerous physical and chemical processes that occur in glass furnace. Among the examined physicochemical phenomena are: fuel burning, glass melt and gas medium hydro- and gas dynamics, glass furnace heat exchange. Glassmaking physical reductions and assumptions, initial and boundary conditions are also described in the paper. Keywords: glass production, mathematical model, system of Navier-Stokes equations, batch melting, the equation of radiative transfer