Screw elements with reduced sweep angle
The present invention relates to screw elements for multiscrew extruders with pairs of co-rotating and fully wiping screws, to the use of these screw elements in multiscrew extruders and to a method of generating screw elements according to the invention.
1. Screw elements for multiscrew extruders having a pair of barrels, the screw elements comprising
an intermeshing pair of screw elements, with paired co-rotating and fully wiping screw shafts, configured to be positioned within the pair of barrels, comprising a first screw element and a second screw element and having a number (Z) of screw flights indicative of a number of arcs of each screw element that are adapted to wipe an outer wall of each barrel when the intermeshing pair of screw elements are positioned within the pair of barrels, a centre distance (A) between the first screw element and the second screw element and an outer diameter (DE) of each screw element, wherein the number (Z) of screw flights for each screw element is at least two,
wherein the sum of tip angles of the intermeshing pair of screw elements is greater than 0 and smaller than
2
π
-
4
Z
arccos
(
A
DE
)
,
wherein a clearance is provided between screw profiles of the intermeshing pair of screw elements,
wherein a generating screw profile of the first screw element and a generated screw profile of the second screw element each have a number of arcs, equal to 6*Z or more, with a radius larger than or equal to zero and smaller than or equal to the centre distance (A), and
further wherein the arcs merge tangentially into each other at their end points.
2. The screw elements according to claim 1 , wherein an arc with the radius equal to zero is a sharp crest.
3. The screw elements according to claim 2 , wherein each pair of corresponding arcs of the generated screw profile and the generating screw profile is characterized in that
angles of corresponding arcs are identical in size,
a sum of radii of corresponding arcs equals the centre distance (A),
each of connecting lines between a centre point of an arc of the generating screw profile and its end points is parallel to one connecting line between the centre point of the corresponding arc of the generated screw profile and its end points,
those directions in which the end points of an arc of the generating screw profile lie in relation to the centre point of said arc are in each case opposite those directions in which the end points of the corresponding arc of the generated screw profile lie in relation to the centre point of said arc of the generated screw profile,
the distance between the centre point of the arc of the generating screw profile and the centre point of the corresponding arc of the generated screw profile equals the centre distance,
the connecting line between the centre point of the arc of the generating screw profile and the centre point of the corresponding arc of the generated screw profile is parallel to the connecting line between the point of rotation of the generating screw profile and the point of rotation of the generated screw profile,
the direction in which the centre point of the arc of the generating screw profile would have to be shifted in order to coincide with the centre point of the corresponding arc of the generated screw profile is the same as that in which the point of rotation of the generating screw profile would have to be shifted in order to coincide with the point of rotation of the generated screw profile.
4. The screw elements according to claim 1 , wherein at least one tip arc of the generating screw profile or the generated screw profile is followed by an arc with a radius of >0 and less than 0.1 times the outer diameter (DE) of each screw element.
5. The screw elements according to claim 1 , wherein tip arcs and root arcs alternate with each other around the generating screw profile or the generated screw profile during rotation of the intermeshing pair of screw elements.
6. The screw elements according to claim 1 , wherein the intermeshing pair of screw elements have a number of axes of symmetry which correspond to the number (Z) of screw flights.
7. The screw elements according to claim 1 , wherein the intermeshing pair of screw elements have a point symmetry.
8. The screw elements according to claim 1 , wherein the intermeshing pair of screw elements are conveying elements extending in an axial direction in a form of a screw.
9. The screw elements according to claim 1 , wherein the intermeshing pair of screw elements are kneading elements extending in an axial direction in steps in a form of kneading discs.
10. The screw elements according to claim 1 , wherein the intermeshing pair of screw elements are mixing elements having screw tips with openings.
11. A method of using screw elements comprising the steps of
providing an intermeshing pair of screw elements, with paired co-rotating and fully wiping screw shafts, comprising a first screw element and a second screw element and having a number (Z) of screw flights indicative of a number of arcs of each screw element that are adapted to wipe an outer wall of a barrel of a multi-screw extruder, a centre distance A between the first screw element and the second screw element and an outer diameter (DE) of each screw element, wherein the number (Z) of screw flights for each screw element is at least two,
wherein a sum of tip angles of the intermeshing pair of screw elements is greater than 0 and smaller than
2
π
-
4
Z
arccos
(
A
DE
)
,
and
assembling the multi-screw extruder with the intermeshing pair of screw elements,
wherein a clearance is provided between screw profiles of the intermeshing pair of screw elements.
wherein a generating screw profile of the first screw element and the generated screw profile of the second screw element each have a number of arcs, equal to 6*Z or more, with a radius larger than or equal to zero and smaller than or equal to the centre distance (A), and
further wherein the arcs merge tangentially into each other at their end points.
12. A method of producing screw elements for a multi-screw extruder, having a pair of barrels, comprising the steps of
providing an intermeshing pair of screw elements, with paired co-rotating and fully wiping screw shafts, comprising a first screw element and a second screw element and having a number (Z) of screw flights indicative of a number of arcs of each screw element that are adapted to wipe an outer wall of each barrel when the intermeshing pair of screw elements are positioned within the pair of barrels, a centre distance A between the first screw element and the second screw element and an outer diameter (DE) of each screw element, wherein the number (Z) of screw flights for each screw element is at least two,
generating screw profiles by juxtaposing, in each screw profile of the intermeshing pair of screw elements, a number of arcs, equal to 6*Z or more, with a radius larger than or equal to zero and smaller than or equal to the centre distance (A),
wherein the arcs merge tangentially into each other at their end points, and wherein a sum of tip angles of the intermeshing pair of screw elements is greater than 0 and smaller than
2
π
-
4
Z
arccos
(
A
DE
)
,
and
further wherein a clearance is provided between screw profiles of the intermeshing pair of screw elements.
13. The screw elements according to claim 1 , wherein a non-dimensional value of the clearance divided by the outer diameter (DE) of each screw element is from 0.001 to 0.1.