A simple mathematical model for heat transfer and its application for continuous type reheating furnaces

The requirements that must be met by mathematical models for the process control of continuous-type reheating furnaces are outlined. A description is given of heat transfer in reheating furnaces is computed using simple models. A comparison of computed figures with measured values shows the accuracy of description attainable with such models for stationary and non-stationary operation. The mathematical models are fully equal to their task of replacing measuring points in the process control of reheating furnaces in on-line operation. Since similar conceptual models were applied for the forecasting models designed to determine energetically optimum control parameters for the future, a high degree of accuracy of description is also expected for these elements. Commercial-scale testing and use of the complete program system for the process control of continuous-type reheating furnaces in on-line operation is under way.