FIELD OF THE INVENTION
[0001] The invention relates to making paper by an aerodynamic method, and more particularly,
to a method of forming a web from aerosuspension of fibrous material on a forming
wire.
BACKGROUND OF THE INVENTION
[0002] Formation of a web as a fibrous layer on a continuous moving wire by feeding aerosuspension
of cellulose, or any other fibers prepared beforehand, is one of the main technological
operations in the papermaking process. The web, thus formed, is then pressed and dried.
[0003] Methods for forming a web from aerosuspension of fibrous material are known (see,
USSR Author's Certificate No. 1172975, 4 D 21 H 5/26, published 08/15/85, Information
Bulletin No. 30). According to such a method, the aerosuspension is fed onto a moving
wire positioned perpendicular to the direction of the aerosuspension flow and an air
component of the aerosuspension is removed by means of a suction device. The suction
device is generally referred to as a suction box, and installed on the opposite side
of the wire. This method also provides for redistribution of the sucked airflow across
the formed web width, which permits production of a web profile of various configurations.
This method, however, is unable to produce a web of high uniformity at high production
rates, since the aerosuspension flow shears the web being formed due to the interaction
of the flow pressure and high velocity of moving wire. Generating a high vacuum in
the suction box to enhance pulling of the web to the wire could prevent the web shear,
although such a procedure is being difficult and costly.
[0004] According to another method for forming a web from aerosuspension of fibrous material
(USSR Author's Certificate No. 746015, 2 D 21 H 5/26, published 07/07/80, information
Bulletin No. 25), the aerosuspension is fed onto a moving wire positioned at an angle
relative to the aerosuspension flow and an air component of the aerosuspension is
removed by means of a suction device located on the opposite side of the wire. In
this option, the wire positioned at an angle to the direction of aerosuspension flow
decreases the web velocity component that is normal to the aerosuspension flow direction.
This allows the wire velocity to be increased without causing the above shear of the
formed web by the aerosuspension flow. An extra removal of a certain part of the air
component of the aerosuspension when the latter passes through a feeding channel before
reaching the forming wire is also provided for. Thus, one of the main problems of
such methods, namely removal of a large volume of air from the aerosuspension, is
solved. This solution, however, causes a portion of the fibers (1 -5%) being carried
away by the sucked air when the aerosuspension passes through the feeding channel.
Besides, the concentration of fibers in the aerosuspension grows as the latter moves
through the channel, which may lead to fiber conglomeration and, consequently, to
non-uniformity of the formed layer.
[0005] The main capacity limitation of the above method is related to the fact that the
fibers deposit on the forming wire at a low velocity of the aerosuspension flow. To
increase the rate of web formation, the velocity of aerosuspension flow fed to the
wire must be dramatically increased, which, however, raises the aerodynamic pressure
exerted on the web under formation by the aerosuspension flow. The above aerodynamic
pressure of the aerosuspension flow may shear the layer of fibers formed on the wire,
the shear being either coincident or opposing to the direction of wire motion, depending
on the ratio of wire and flow velocities and the wire inclination angle relative to
the aerosuspension flow. As a result, nonuniformities occur in the formed layer that
lower the quality of produced paper.
[0006] According to another method for forming a web from aerosuspension of fibrous material
(US Patent No. 4375448, 3 B 29 J 5/00, published 03/01/83 - prototype), the aerosuspension
is fed onto the forming wire positioned at an angle relative to the aerosuspension
flow and an air component of the aerosuspension is removed by means of a suction device
located on the opposite side of the wire.
[0007] In this method the angle of the wire incline relative to the aerosuspension flow
is selected based on the required thickness of the layer to be formed and the capacity
of a fiber-feeding device. However, a high rate forming entailing a substantial rise
in aerodynamic pressure of the aerosuspension flow upon the web being formed requires
a selection of a velocity ratio of wire motion and the aerosuspension flow, as well
as of the angle of wire inclination in relation to the aerosuspension flow direction
while taking into consideration a possible web shear under the aerodynamic pressure
of the aerosuspension flow. Otherwise, the density of the formed web will not be uniform.
[0008] From EP-A-0 060 949, a method and apparatus for forming a web from an aerosuspension
of fibrous material is known wherein the aerosuspension is fed onto a first side of
a moving forming wire positioned at an inclination angle in the range from 21 to 30
degrees relative to the aerosuspension flow, and an air component of the aerosuspension
is removed by means of a suction device located proximate to a second side of said
forming wire which is opposite to said first side.
SUMMARY OF THE INVENTION
[0009] According to the invention, a method for forming a web from an aerosuspension of
fibrous material, the method comprising the following steps: feeding the aerosuspension
onto a moving forming wire positioned at an angle to the aerosuspension flow, and
removing an air component of the aerosuspension by means of a suction device located
on the opposite side of the wire; wherein an inclination angle α formed between the
forming wire and the direction of the aerosuspension flow is selected according to
equation:

where:
Vw is the velocity of forming wire motion;
Vf is the rate of air filtration through a layer of formed web and wire provided by
the suction device at a steady stationary airflow from the aerosuspension into the
suction device;
η is the coefficient of sliding friction of fibers against the forming wire.
BRIEF DESCRIPTION OF THE DRAWING
[0010] The Figure illustrates structural elements of a forming unit of a papermaking machine
and a process of web formation from aerosuspension, according to an embodiment of
the present invention
DETAILED DESCRIPTION OF THE INVENTION
[0011] Referring to the Figure, an aerosuspension is fed in a continuous flow through a
feeding channel 1 onto a moving wire 2. As the wire 2 moves, a layer of fibers 3 is
being formed on the wire 2 and transported by the wire 2 for further processing. An
air component of the aerosuspension is filtered through the layer of fibers 3 and
openings in the wire 2, and is sucked through a suction box 4 located on a backside
side of the wire 2. The drawing also shows an inclination angle
α of a direction of motion of the forming wire 2 relative to the direction of aerosuspension
flow, a velocity of the aerosuspension
Va, and a velocity of the forming wire
Vw.
[0012] Force
Fa generated by an aerodynamic pressure of the aerosuspension flow acts upon the layer
of fibers 3 being formed, with a force component
Fn perpendicular to the plane of wire 2, and a force component
Ft parallel to the plane of the wire 2,. The force component
Fn presses the layer of fibers 3 to the wire 2, and the force component
Ft produces a shearing effect upon the layer 3. To prevent the shear of the fibrous
layer 3 formed on the wire 2, the following condition must be met:

where
η is the coefficient of sliding friction of fibers against the forming wire.
[0013] The component
Ft of a force vector
Fa of the aerodynamic pressure of the aerosuspension flow is proportional to a squared
difference between the wire velocity
Vw and the aerosuspension flow velocity component
Vt parallel to the wire plane:

where:
Cw is the coefficient of aerodynamic resistance of fibers in layer 3;
Si is the cross-section area of fibers;
ρa is the air density.
[0014] The component
Fn of the force vector
Fa of the aerodynamic pressure of the aerosuspension flow is proportional to a squared
velocity component of aerosuspension flow
Vn perpendicular to the wire plane:

[0015] Since
Vt=Va·cosα, and
Vn=Va sin α, the inequality (2), with (3) and (4) taken into account, can be transformed as:

[0016] The velocity component
Vn of aerosuspension flow is equal to the rate of air filtration
Vf through a layer of formed web 3 and wire 2 at a steady stationary airflow from the
aerosuspension into the suction device. The filtration rate
Vf is defined by the suction device's capacity and also depends on the air-tightness
of forming unit design.
[0017] With the equality of velocities
Vn and
Vf taken into consideration, expression (5) transforms into a ratio (1) used for selecting
angle
α depending on given technological parameters: filtration rate -
Vf determined by the capacity of the suction device and the degree of airtightness of
the forming unit; wire velocity -
Vw dependent on the capacity and parameters of the layer being formed; coefficient of
sliding friction of fibers against the forming wire -
η.
[0018] A proper selection of the incline angle
α within the specified range prevents a possibility of web shearing caused by the aerodynamic
pressure of aerosuspension. Implementing the invention claimed will permit realization
of a highly productive technology for making paper with a high degree of uniformity.
[0019] The above result achieved through use of the method claimed has been experimentally
verified.
[0020] Samples of paper were made on an aerodynamic forming device at different ratios of
Vw, Vf and
α, with the samples uniformity examined. Parameters
Vw and
Vf were modified to verify the claimed ratio, since the design of the above device provided
for setting the angle
α at 20° or 60° only. The coefficient of sliding friction of fibers against the forming
wire
η was experimentally determined to be 0.2. The above parameters were set within such
a value range that the angle
α (equal to 20° or 60°) was either within the range provided for by the ratio (1),
or was larger or smaller than the values of this range.
[0021] The results of the experiment are summarized in the table below.
No. of expe rime nt |
Wire velocity, m/s Vw |
Filtration rate /s Vf |
Accepted value range of α° |
Experimental range of α° |
Degree of web non-uniformity, % |
|
|
|
αmi |
αmax |
αe |
Δ |
1 |
12.0 |
3.0 |
12.7 |
15.7 |
20.0 |
35.0 |
2 |
7.5 |
3.0 |
18.7 |
26.0 |
20.0 |
1.5 |
3 |
3.0 |
3.0 |
34.6 |
61.2 |
20.0 |
20.0 |
4 |
4.5 |
3.0 |
27.1 |
43.6 |
60.0 |
20.0 |
5 |
1.5 |
3.0 |
46.1 |
87.1 |
60.0 |
1.5 |
6 |
0.15 |
3.0 |
63.4 |
- |
60.0 |
15.0 |
7 |
7.5 |
5.0 |
27.1 |
43.6 |
60.0 |
20.0 |
8 |
5.0 |
5.0 |
34.6 |
61.2 |
60.0 |
1.5 |
9 |
2.5 |
5.0 |
46.1 |
87.1 |
60.0 |
1.5 |
10 |
0.25 |
5.0 |
63.4 |
- |
60.0 |
15.0 |
[0022] The uniformity of the formed web was evaluated by weighing. A formed sample of web
was pressed on a roller press at the rate of 0.03 m/s with a roller pressing force
of 50 kg/cm. A pressed sample of 10x10 cm
2 size was dried at 105°C and cut into pieces of 2x2 cm
2 that were weighed on analytical balance featuring the error of less than ±0.0005.
A degree of non-uniformity of the formed web was determined as percentage of root-mean-square
deviation in weight of samples vs. their average weight:

where
xi - weight of
i-th piece;
x - average weight of pieces;
n - number of weighed pieces (n=25).
The experimental results obtained fully confirmed the above result achieved by applying
the method claimed. Shearing of the formed web along the wire is prevented by setting
the wire at angle
α selected within the claimed range, which permits production of paper of a high degree
of uniformity.
[0023] While this invention has been described in connection with what is presently considered
to be the most practical and preferred embodiments, it is to be understood that the
invention is not limited to the disclosed embodiments, but, on the contrary, is intended
to cover various modifications and equivalent arrangements included within the scope
of the appended claims.
1. A method for forming a web from an aerosuspension of fibrous material, the method
comprising the following steps:
(a) feeding the aerosuspension onto a first side of a moving forming wire (2) positioned
at an inclination angle α relative to the aerosuspension flow, and
(b) removing an air component of the aerosuspension by means of a suction device (4)
located proximate to a second side of said forming wire (2) which is opposite to said
first side,
characterized in that said inclination angle α formed between the forming wire (2) and the direction of
the aerosuspension flow is selected according to the equation:

where:
Vw is the velocity of the forming wire (2);
Vf is the air filtration rate through a layer (3) of formed web provided by the suction
device (4) at a steady stationary airflow from the aerosuspension into the suction
device (4);
η is the sliding friction coefficient of fibers against the forming wire (2).
2. An apparatus for forming a web from an aerosuspension of fibrous material comprising:
a forming wire (2) for transporting the aerosuspension of fibrous material thereon;
a suction device (4) for removing an air component of the aerosuspension of fibrous
material being transported by said forming wire (2); and
a feeding channel (1) for directing said aerosuspension of fibrous material onto said
forming wire (2), said feeding channel (1) being inclined at an angle α relative to
said forming wire (2);
characterized in that α is selected according to the equation:

where:
Vw is the velocity of the forming wire (2);
Vf is the air filtration rate through a layer (3) of formed web provided by the suction
device (4) at a steady stationary airflow from the aerosuspension into the suction
device (4);
η is the sliding friction coefficient of fibers against the forming wire (2).
1. Eine Methode für die Formation einer Papierbahn aus einer Aerosuspension eines Fasermaterials,
bestehend aus den folgenden Schritten:
a. die Förderung der Aerosuspension zur ersten Seite des bewegbaren Formationnetzes,
das mit einem Inklinationswinkel α zum Aerosuspensionstrom positioniert ist, und
b. die Entnahme einer Luftkomponente aus der Aerosuspension mit Hilfe einer Absaugvorrichtung
die sich neben einer zweiten Seite des genannten Formationnetzes (2) befindet, die
der genannten ersten Seite gegenübersteht, dadurch gekennzeichnet, dass der genannte Inklinationswinkel α der zwischen dem Formationsnetz und der Richtung
des Aerosuspensionstroms gebildet ist nach der folgenden Gleichung ausgewählt ist:

worin:
Vw - die Geschwindigkeit des Formationnetzes (2);
Vf - die Luftfilterungsrate durch eine Schicht der geformten Papierbahn die von der
Absaugvorrichtung (4) bei einem ständigen stationären Luftstrom aus der Aerosuspension
in die Absaugvorrichtung hervorgerufen wird.
η - der Gleitreibungkoeffizient von Fasern gegen das Formationnetz ist.
2. Vorrichtung zur Formung einer Papierbahn aus einer Aerosuspension eines Fasermaterials,
mit:
einem Formationnetz (2) zum Transport der Aerosuspension darauf;
einer Absaugvorrichtung (4) für die Entnahme einer Luftkomponente aus der Aerosuspension
des Fasermaterials, die durch das genannte Formationnetz (2) transportiert wird; und
einer Speiseleitung (1) zum Lenken der genannten Aerosuspension des Fasermaterials
auf das genannte Formationsnetz, wobei die genannte Speiseleitung unter einem Winkel
α zum genannten Formationsnetz (2) geneigt ist;
dadurch gekennzeichnet, dass α nach der folgenden Gleichung ausgewählt ist:

worin:
Vw - die Geschwindigkeit des Formationnetzes (2);
Vf - die Luftfilterungsrate durch die Schicht (3) der geformten Papierbahn, die von
der Absaugvorrichtung (4) bei einem ständigen stationären Strom aus der Aerosuspension
in die Absaugvorrichtung hervorgerufen wird,
η - der Gleitreibungkoeffizient von Fasern gegen das Formationnetz (2) ist.
1. La methode pour la formation du papier d'aerosuspension du material fibreux, en comportant
les operations suivants:
a. Admission d'aerosuspension a premier coefficient de frottement de glissement des
fibres selon la toile de formage(2) positionné sous un angle d'inclination α au respect
de fleuve d'aerosuspension, et
b. Extraction d'un composant d'air d'aerosuspension avec l'aide du dispositif d'aspiration
(4) situé proche de seconde côté du susdite toile d formage, qui est cicontre du premier
côté, caractérisé par le fait que le susdit angle d'inclination α formé entre la toile de formage (2) et le direction
de fleuve d'aerosuspension est choisi selon l'équation:

ou:
Vw - vitesse de toile de formage;
Vf - taux de filtration d'air au travers de banc de papier formé effectué par le dispositif
d'aspiration, la fleuve d'air qui est fourni dans le dispositif d'aspiration etant
permamente et stationnaire;
η - coefficient du frottement du glissement des fibres selon la toile du formage (2).
2. L'appareil pour le formage du papier d'aerosuspension du material fibreux, en contenant;
toile de formage (2) pour le transportation d'aerosuspension des materiaux fibreux
ci-dessus;
le dispositif d'aspiration (4) pour l'extraction de composant de l'air d'aerosuspension
des materiaux fibreux, qui sont transporté par la susdite toile du formage; et
le canal d'introduction (1) pour le direction d'aerosuspension susdit des materiaux
fibreux à toile de formage (2) susdite, le canal d'introduction (1) susdite etant
incline sous un angle α au respect de toile de formage susdite;
ou α est choise selon l'equation:

ou:
Vw - velocité de toile de formage;
Vf - coefficient de filtration d'air au travers de banc de papier formé effectué par
le dispositif d'aspiration (4), la fleuve d'air qui est fourni dans le dispositif
d'aspiration (4) etant permamente et stationnaire;
η - coefficient du frottement du glissement des fibres selon la toile du formage (2).