UDC 669.041
M. Revun, professor, d.t.s.
V. Zionchenko, associate professor, c.t.s.
V. Ivanov, senior scientific associate
A. Chprasov, professor, к.т. н.

IDEVELOPMENT OF MATHEMATICAL MODEL AND ALGORITHM OF
CALCULATION FOR HEATING THERMALLY MASSIVE BODIES IN FLAMING
THERMAL FURNACES OF CHAMBER TYPE
(Report I)
Zaporozhe state engineering academy
There are carried out analysis of mathematical optimization featured tasks for heating
metal by heat treatment in the flaming furnaces of chamber type. It is set that for solution
of stated type tasks is complicated by absence of simple model, define-like dependence
of end measures for quality of heating on control responses in the system «warming
gases – fettling – metal». The acceptance of row assumptions allows to use on modeling
results only for the high-quality analysis of heat work for furnaces. It is necessary to
choose the optimal model of heating for thermally massive bodies, allowing to determine
both the form of control responses and moments of their switching.
Keywords: flaming thermal furnace of chamber type, heating of metal, mathematical
model, analysis, algorithm of calculation
DEVELOPMENT OF MATHEMATICAL MODEL AND ALGORITHM OF
CALCULATION FOR HEATING THERMALLY MASSIVE BODIES IN FLAMING
THERMAL FURNACES OF CHAMBER TYPE