Determination of the Heat Transfer Coeficient in the Law of Cooling for Gas-Quenching Systems

Date of Online Publication: 14/04/2007
Keywords: heat equation, inverse problem, Newton’s law of cooling, heat transfer coefficient quenching
Authors: Sasa Singer
Pages: 103-114
Modern technology of heat treatment uses high pressure gas-quenching in different types of furnaces to obtain required properties of treated materials. The flow of thermal energy between the surface of the material and the quenching medium is modelled by the Newton’s law of cooling.

We present a mathematical model for determination of the heat transfer coefficient ? in this law. The model is based on temperatures measured during the quenching period and uses solution extension techniques for the heat conduction problem. We also discuss some practical and numerical problems which have to be properly solved in order to accurately and efficiently implement this procedure.


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