Russian Journal of Applied Chemistry, 2011, Vol. 83, No. 9, pp. 1642−1654.
Pleiades Publishing, Ltd., 2010.
Original Russian Text
I.O. Mikulionok, 2010, published in Khimicheskaya Promyshlennost’, 2010, Vol. 88, No. 3, pp. 125−138.
MODELING AND CALCULATION
OF TECHNOLOGICAL PROCESSES
Technique of Parametric and Heat Computations
of Rollers for Processing of Plastics and Rubber Compounds
I. O. Mikulionok
Ukrainian Technical University “Kyiv Polytechnical Institute,” Kyiv, Ukraine
Received March 12, 2011
Abstract— The technique of parametric and thermal simulation of rollers of continuous operation was developed
for processing material whose behavior under load is described by a power rheological law. The technique is suitable
for analyzing the process of rolling in the case of rollers with the same diameter, arbitrary frictions in a roll space,
and also placing of rolled material in a low-speed as well as in a high-speed rollers.
One of the preliminary treatments of polymeric ma-
terials and rubber compounds that determines the qual-
ity of products derived from them, is rolling, the process
of repeatedly punching of molding sand through the
clearance between two parallel oppositely rotating roll-
ers leading to its heating, mixing and homogenization.
Simultaneous introduction in the roller space gap of
polymer or rubber, as well as various solid and liquid
components can produce a high-quality material,
which as a result of temperature adjustment of rollers
and their speeds sticks to one of them [1, 2]. Typically,
the material sticks to a hotter roller, and in the case of
identical temperatures of rollers, to more high-speed
Classiﬁ cation of rollers is carried on a number of
speciﬁ c design or manufacturing features [3, 4], and
one of the main characteristics of the rollers is frictions:
a ratio of peripheral speeds of adjacent rollers (usually
the friction f is the ratio of the peripheral speeds of high-
speed and low-speed rollers and the friction value is not
less than unity. A reverse value of friction is called the
coefﬁ cient of frictions ψ [5, 6]).
Nowadays there is no a calculation technique for
the rolling in the case of the arbitrary friction in the roll
space and also if a material being processed is located
both at the front and rear rollers.
Purpose of the study is developing calculation
technique for the rolling of a material whose behavior
is described by the power rheological equation at the
arbitrary friction into the roll space, and also of a roller
on which there is a material being processed in the
course of the rolling.
SIMULATION OF THE ROLLING
A blending cycle on rollers of periodic (cyclic) ac-
tion depends on the rheological and thermal properties
of the treated material and on parameters of the rolling
and is ﬁ nished provided achievement of a certain degree
of homogeneity or the required temperature. On more
productive rollers of the continuous action the rolling
time depends on the speed of the rollers, the distance
between a place of feeding the material and a discharg-
ing place on a next stage of processing (e.g., calender-
ing), a width of a continuous strip of material withdrawn
from the rollers and also of a roller with processed mate-
rial on it.
Feeding the material processed into blending
continuous rollers after a batch blender of closed type
(e.g., such as “Banbury”) is carried out in the form of
shapeless lumps, and into the mix-heating continuous
rollers after the blending rollers, in the form of
a continuous strip. Moreover, the feeding is usually