ISSN 1070-4272, Russian Journal of Applied Chemistry, 2014, Vol. 87, No. 12, pp. 1858−1862. © Pleiades Publishing, Ltd., 2014.
Original Russian Text © V.M. Drobosyuk, G.K. Malinovskaya, L.V. Litvinova, 2014, published in Zhurnal Prikladnoi Khimii, 2014, Vol. 87, No. 12, pp. 1779−1784.
PROCESSES AND EQUIPMENT
OF CHEMICAL INDUSTRY
Evaluation of the Adhesion Interaction of Dispersed Particles
with Cellulose Fibers
V. M. Drobosyuk, G. K. Malinovskaya, and L. V. Litvinova
St. Petersburg State Technological University of Plant Polymers, ul. Ivana Chernykh 4, St. Petersburg, 198095 Russia
Received October 15, 2014
Abstract—Theoretical analysis of the adhesion interaction of dispersed particles with cellulose ﬁ bers and of
hydrodynamic conditions for detachment of the particles from the ﬁ ber surface was performed. The force of the
adhesion interaction of the components with the ﬁ ber surface was calculated for particles of different conﬁ gura-
tions with known values of the Hamaker–van der Waals constant. The attraction force of spherical particles to
a cellulose ﬁ ber wall is 300–400 times lower than that of ﬂ at particles. The velocity of ﬂ ow around the ﬁ bers,
required for detachment of ﬂ at dispersed particles from the ﬁ bers, is approximately 1000 times higher than that
required for detachment of spherical particles.
In paper forming on high-speed papermaking machines,
stringent requirements are imposed upon the quality of
paper stock. Mineral contaminations are removed from the
stock by precipitation or centrifugation; paper recycling
involves deinking of secondary raw material. Optimization
of pulp and paper production processes (screening, ﬁ ltra-
tion, particle washing from the aqueous ﬁ ber slurry, paper
stock deinking) requires theoretical analysis of regularities
of dispersed particles adhesion to the ﬁ ber surface. The
majority of studies of paper stock puriﬁ cation and dewater-
ing had applied character and were aimed at improvement
of existing and development of new equipment [1–3].
The interaction of colloidal particles with cellulose ﬁ bers
was considered in studies dealing with principles of water
treatment and ﬂ otation [4–6]. The calculations performed
in this study can be used for understanding the mechanism
of interaction of ﬁ bers with particles of any shape (mineral
inclusions, printing ink, pigments, etc.) and development
of optimum procedures for removal of foreign inclusions
from ﬁ brous stock.
Adhesion interaction. The force of attraction of a
platelike particle to the ﬂ at ﬁ
ber surface per unit surface
area was calculated according to . The adhesion force
was calculated for inorganic components with known
values of the Hamaker–van der Waals constant: Si
, mica R
= K, Na; R
= Al, Mg, Fe . Water slurry of cellulose
ﬁ bers and mineral particles is considered as a coarsely
dispersed system. Particles are assumed to have spherical
or lamellar shape of size 1.0–5.0 μm.
Churaev  noted that, the more hydrophilic the
surface is, the more pronounced is the contribution of the
structural constituent of the particle interaction energy.
Repulsion forces arising in thin interlayers between the
surfaces of dispersed particles are caused by disturbance
of the water structure in these interlayers relative to the
water structure in the free aqueous phase. The results
of experimental studies and theoretical analysis of the
structural repulsion forces are summarized in  as a
formula for the repulsion pressure.
The total force of particle interaction with the ﬁ ber
surface is an algebraic sum of forces of intermolecular
attraction and structural repulsion:
is a constant proportional to the degree
of molecular ordering at the surface of the water