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Mathematical modelling of thermal fields in some heat treatment operations
Author(s) -
Singh Amarendra K.,
Mazumdar Dipak
Publication year - 1992
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.199200498
Subject(s) - heat flow , thermodynamics , physics , materials science , thermal , mechanical engineering , engineering
A three‐dimensional heat‐flow model has been developed to estimate thermal fields associated with various heat treatment processes (viz., heating above critical temperatures, air cooling, water quenching operations etc.). The mathematical model has been considered in terms of an appropriate coordinate system so as to carry out numerical calculations for a wide range of geometries (viz., slab, parallepiped, cylinder etc.) and different grades of steel typically encountered in the metal processing industries. To assess the adequacy of the model developed, numerical predictions have first been derived for various bench‐mark heat‐flow situations and compared with equivalent situations reported in literature. In conjunction with theoretical predictions, extensive experimental measurements of transient temperature fields in different size, shape and grades of solid steel have been carried out in the laboratory. Subsequently, measurements and experiments have been compared directly to validate the model predictions.