Mathematical Formulation And Numerical Scheme Applied For 2-dimensional Heat Transfer To Predict The Actual Billet Temperature In A Reheating Furnace

摘要

Actual billet temperature is of paramount in a wire rod mill as the quality of the finished products. The measurement of actual billet temperature is not practically feasible for two reasons. Firstly, the billet is constantly moving inside the furnace, the atmosphere of which is contaminated with fumes and flying scale particles. Secondly, the sensors and associated transmitting cables are not available for continuous monitoring under high temperature environment of around 1400℃. The furnace roof temperature is correlated with billet temperatures in reheating furnace. The problem associated with the current practice may be overcome by using the conductive heat transfer within the billet to define the problem of predicting the actual temperature. Two dimensional transient heat transfer is chosen to formulate the problem mathematically and suitable Numerical scheme is developed using TDMA and ADI techniques to predict actual billet temperature accurately.