Transient Simulation of Mold Heat Transfer and Solidification Phenomena of Continuous Casting of Steel
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the continuous casting of steel, heat transfer from molten steel to the mold walls controls the dendritic solidification process and therefore affects the surface defects formation.[1–3] Therefore, it is important to remove the different molten steel heats in a controlled and predictable manner to optimize the mold slab thermal profile as a function of operating conditions. From a practical point of view, industrial experience and theoretical investigations of the continuous casting steel process have shown that mold heat flow can be manipulated and controlled through a number of sophisticated means.[4,5] These means have been investigated experimentally and theoretically by many authors.[6–14] It is obvious that the mold heat flow process contains many complex mechanisms including conduction, convection, radiation, and phase changes. Therefore, these factors affect this process by different MOSTAFA OMAR EL-BEALY, Chair Professor, is with Military Technical College (MTC), Khalifa El-Maamon st., 11566 Kobri Alkobaa, Cairo, Egypt, and with Clausthal Technical University (CTU), 38678 Clausthal-Zellerfeld, Germany, and also with Kungliga Tekniska ho¨gskolan (KTH), 100 44 Stockholm, Sweden and Massachusetts Institute of Technology (MIT), Materials Processing Center (MPC), University Materials Council, Cambridge, MA 02139. Contact email: [email protected] Manuscript submitted June 9, 2015. Article published online July 29, 2016. METALLURGICAL AND MATERIALS TRANSACTIONS B
mechanisms. These mechanisms are governed by nature of contact or air gap characteristics formed between the slab surface and mold walls and its dynamics.[15] Subsequently, accurate determination of mold cooling conditions is extremely difficult experimentally and is currently impossible from a first principles point of view.[16–18] The excellent collection of published work to simulate a wide range of heat transfer issues in the mold caster of continuous casting of steel was assembled by Brimacombe,[4] and the review was by Thomas.[19] This collection of papers has been gathered to develop physical, empirical, and mathematical models on every aspect of this process. Lima et al.[6] used the instrumented mold wall technique where the measurements of mold wall temperatures at different levels in the mold zone were performed. This technique was extended extensively on the slab broad and narrow faces by Mahapatra et al.[17] to elucidate mold behavior and its influence on quality during continuous casting of steel slabs. These temperatures were used to evaluate the heat flux in the mold zone at different levels from the meniscus. In recent years, numerous mathematical models of continuous casting processing have been documented and used.[20–29] Aboutatebi et al.[20] developed a coupled model of fluid flow and heat transfer within the first several meters beneath the meniscus. Hardinand and Beckermann[21] treated the convective transport effect VOLUME 47B, OCTOBER 2016—3013
by using the heat conduction method. However, Choudhary and Mazumbar[22] compared these approaches a
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