Russian Journal of Applied Chemistry, 2012, Vol. 85, No. 9, pp. 1482−1492.
Pleiades Publishing, Ltd., 2012.
Original Russian Text
I.O. Mikulionok, 2012, published in Khimicheskaya Promyshlennost’, 2012, Vol. 89, No. 3, pp. 118−127.
PROCESSES AND DEVICES
OF CHEMICAL MANUFACTURES
Modeling of the Heat Processing
of Continuously Molded Product
I. O. Mikulionok
National Technical University of Ukraine “Kyiv Polytechnic Institute,” Kyiv, Ukraine
Received March 12, 2011
Abstract—The mathematical models of heat processing (heating and cooling) of materials, semi-products and
products, including multilayer produced by continuous molding, in particular, by extrusion and calendering are
considered. The proposed models allows selection of main sizes of devices of the heat processing line for a preset
output or determination of a maximum capacity of the line for given sizes of these devices.
Sheet, roll, ﬁ lm, tube, rod, and lengthy specialized
materials and products with use of polymers and
elastomers, including ﬁ lled and layered with both
isotropic and anisotropic structure are widely used as the
construction and decoration materials in the building,
general and transport engineering, furniture, electrical,
chemical and other industries along with traditional
materials such as metals, wood, glass, fabric, and paper
Processing of these materials is carried out in view
of a set of different technological processes ensuring
products with speciﬁ c properties, one of which is heat
processing and, in particular, cooling the material from
the forming temperature to the temperature in the area of
a receiver. The length of the zone of the heat processing
can be up to a hundred meters , which witnesses the
importance of this process in the quality of the product.
The unknown parameter in the calculation of the
device for the heat processing is the length of the device
(if the technological line output and ﬁ nal temperature of
the processed article are known), or the ﬁ nal temperature
of the processed article and/or mode of heat processing
ensuring this temperature (assuming a given length).
Existing mathematical models and corresponding
calculation methods are suitable for the analysis of the
heat processing of homogeneous materials [5–7] or
multilayer thin materials-coatings of solids . Present-
day continuous and long materials can be of large and
complex structure: sheets are made up to 100 mm 
(the number of layers of sheets and ﬁ lms often reaches
seven–nine or more ), and pipes are of 3050 mm
in external diameter and with the number of layers of
four or more . In the course of the analysis of the
heat processing of such materials (primarily multilayer,
when the individual layers have different thicknesses
and properties) these models can lead to signiﬁ cant
deviations from the real process.
The purpose of this paper is to develop mathematical
models and universal technique of calculation of heat
processing (cooling and heating) produced by the
continuous molding of homo- and heterogeneous
materials and products in the most popular heat
processing devices in the industry.
THE HEAT PROCESSING
Devices, where the heat processing is implemented
by convective and radiant heat transfer as well as their
combination, is the most widely used by way of impact
on the processed article while cooling devices, by the
nature of the impact (Fig. 1).
Therewith the way of
organization of the heat ﬂ ow in these devices is usually
governed by shape, size, and properties of the processed
article (Fig. 2).