Asymmetric slab nozzle and metallurgical assembly for casting metal including it
11103921 · 2021-08-31
Assignee
Inventors
Cpc classification
B22D41/54
PERFORMING OPERATIONS; TRANSPORTING
B22D41/502
PERFORMING OPERATIONS; TRANSPORTING
B22D41/56
PERFORMING OPERATIONS; TRANSPORTING
B22D41/505
PERFORMING OPERATIONS; TRANSPORTING
B22D11/103
PERFORMING OPERATIONS; TRANSPORTING
International classification
Abstract
A slab nozzle for use in a continuous slab casting installation is characterized by a specific geometry of the outer wall of a downstream portion thereof which is inserted in a slab mould cavity. The specific geometry promotes a “round-about” effect whereby converging opposite streams of molten metal flowing towards two opposite flanks of the slab nozzle are each preferentially deviated towards one side of the slab nozzle where they can freely flow through the narrow channels formed between the slab nozzle and the slab mould cavity wall without impinging with one another. This prolongs the service life of the slab nozzle by substantially reducing the erosion rate of the outer wall thereof.
Claims
1. Slab nozzle for casting slabs made of metal, said slab nozzle having a geometry defined by an outer wall extending over a nozzle length, L, along a longitudinal axis, z, from an upstream end to a downstream end, said slab nozzle comprising a slab nozzle downstream portion extending along the longitudinal axis, z, from and including the downstream end, wherein the upstream end of the slab nozzle comprises an inlet orifice oriented parallel to said longitudinal axis, z, and wherein the downstream portion of the slab nozzle comprises one or more outlet port orifices, said downstream portion being defined by a width measured along a first transverse axis, x, which is at least 1.5 times larger than a thickness of the downstream portion measured along a second transverse axis, y, wherein the first transverse axis, x, is normal to the longitudinal axis, z, and wherein the second transverse axis, y, is normal to both first transverse axis, x, and longitudinal axis, z, said slab nozzle further comprising a central bore opening at said inlet orifice, extending therefrom along the longitudinal axis, z, and intersecting one or more front ports each opening at the one or more outlet port orifices, wherein, in a section of the slab nozzle along a transverse plane, P3, the outer wall of the slab nozzle is defined by an outer wall outline which comprises: a central portion (Ax) wherein the outer wall outline is symmetrical with respect to a central point, c, defined as an intersection point between the longitudinal axis, z, and the transverse plane, P3, and is symmetrical with respect to both first and second transverse axes, x, y, and said central portion being flanked by a first and second lateral portions (Ac1, Ac2), positioned on either side of the central portion (Ax) along the first transverse axis, x, and wherein the outer wall is symmetrical solely with respect to the central point, c, the outer wall outline of the downstream portion is inscribed in a virtual rectangle of first and second edges parallel to the first transverse axis, x, and third and fourth edges parallel to the second transverse axis, y, and wherein a tight distance, dt, of the outer wall outline to first and second diagonally opposed corners of the four corners of the virtual rectangle is at least 1.5 times shorter than a flared distance, df, of the outer wall outline to the other two diagonally opposed corners of the virtual rectangle, wherein the distance of the outer wall outline to a corner is defined as the distance between said corner and a point of the outline located closest to said corner, wherein the transverse plane, P3, is the plane normal to the longitudinal axis, z, and intersecting the one or more outlet port orifices, which produces a maximum distance L3 between the transverse plane, P3, and the downstream end.
2. Slab nozzle according to claim 1, wherein the width of the downstream portion is at least three times larger than the thickness of the downstream portion.
3. Slab nozzle according to claim 1, comprising a first and second front ports opening at a corresponding first and second outlet port orifices, wherein the first and second front ports are separated from one another by a divider extending in the central bore from the downstream end along the longitudinal axis, z.
4. Slab nozzle according to claim 1, wherein the tight distance, dt, is at least twice shorter than the flared distance, df, and wherein the tight distance, dt, is not more than ten times shorter than the flared distance, df.
5. Slab nozzle according to claim 4, wherein each of a first and second tight areas, At, comprised between the outer wall outline and the edges of the virtual rectangle joining at the first and second diagonally opposed corners, respectively has an area of not more than 80% of an area of a first and second flared areas, Af, comprised between the outer wall outline and the edges of the virtual rectangle joining at the other two diagonally opposed corners.
6. Slab nozzle according to claim 4, wherein protrusions are distributed on a first and second hindered portions of the outer wall of the downstream portion, said first and second hindered portions, corresponding to the portion of the outer wall outline in the a cut along the plane, P3, which is contained in the two diagonally opposed quarters of the virtual rectangle including the tight distance, dt, or the tight area, At.
7. Slab nozzle according to claim 6, wherein the protrusions have a geometry selected from the group consisting of circles, ellipses, straight lines, curved lines, chevrons, arcs of circles, and polygons, protruding out of the surface of the outer wall of the downstream portion by at least 3 mm, and by not more than 20 mm, and wherein the protrusions are discrete protrusions distributed in a staggered arrangement on the first and second hindered portions of the outer wall of the downstream portion.
8. Slab nozzle according to claim 1, wherein the one or more front ports flare out as they open at the corresponding outlet port orifices.
9. Slab nozzle according to claim 3, wherein in the section of the slab nozzle along the transverse plane, P3, the first and second front ports are defined by a first and second front ports outlines each comprising a lateral portion remote from the divider which is symmetrical solely with respect to the central point, c, and is substantially parallel to the corresponding first and second lateral portions (Ac1, Ac2) of the outer wall outline.
10. Slab nozzle according to claim 3, wherein the central portion (Ax) of the outer wall outline extends over at least 33% of the width, W, of the first and second edges of the virtual rectangle, and extends not more than 85% of the width, W, of the first and second edges of the virtual rectangle.
11. Slab nozzle according to claim 1, wherein in sections of the slab nozzle along any transverse plane, Pn, the outer wall of the slab nozzle is defined by an outer wall outline which comprises a central portion and a first and second lateral portions as defined in claim 1 with respect to the transverse plane, P3, wherein a transverse plane, Pn, is a plane normal to the longitudinal axis, z, and intersecting the longitudinal axis, z, at a distance, Ln, to the downstream end of not more than 60% of the nozzle length, L.
12. Metallurgic assembly for casting metal slabs, said metallurgic assembly comprising: a metallurgic vessel comprising a bottom floor provided with an outlet, a slab mould extending along a longitudinal axis, z, defined by a width, Wm, measured along a first transverse axis, x, and by a thickness, Tm, measured along a second transverse axis, y, wherein x⊥y⊥z, and comprising a mould cavity defined by cavity walls and opening at an upstream end of the cavity, and a slab nozzle for casting slabs made of metal, said slab nozzle having a geometry defined by an outer wall extending over a nozzle length, L, along a longitudinal axis, z, from an upstream end to a downstream end, said slab nozzle comprising a slab nozzle downstream portion extending along the longitudinal axis, z, from and including the downstream end, wherein the upstream end of the slab nozzle comprises an inlet orifice oriented parallel to said longitudinal axis, z, and wherein the downstream portion of the slab nozzle comprises one or more outlet port orifices, said downstream portion being defined by a width measured along a first transverse axis, x, which is at least 1.5 times larger than a thickness of the downstream portion measured along a second transverse axis, y, wherein the first transverse axis, x, is normal to the longitudinal axis, z, and wherein the second transverse axis, y, is normal to both first transverse axis, x, and longitudinal axis, z, said slab nozzle further comprising a central bore opening at said inlet orifice, extending therefrom along the longitudinal axis, z, and intersecting one or more front ports each opening at the one or more outlet port orifices, wherein, in a section of the slab nozzle along a transverse plane, P3, the outer wall of the slab nozzle is defined by an outer wall outline which comprises: a central portion (Ax) wherein the outer wall outline is symmetrical with respect to a central point, c, defined as an intersection point between the longitudinal axis, z, and the transverse plane, P3, and is symmetrical with respect to both first and second transverse axes, x, y, and said central portion being flanked by a first and second lateral portions (Ac1, Ac2), positioned on either side of the central portion (Ax) along the first transverse axis, x, and wherein the outer wall is symmetrical solely with respect to the central point, c, the outer wall outline of the downstream portion is inscribed in a virtual rectangle of first and second edges parallel to the first transverse axis, x, and third and fourth edges parallel to the second transverse axis, y, and wherein a tight distance, dt, of the outer wall outline to first and second diagonally opposed corners of the four corners of the virtual rectangle is at least 1.5 times shorter than a flared distance, df, of the outer wall outline to the other two diagonally opposed corners of the virtual rectangle, wherein the distance of the outer wall outline to a corner is defined as the distance between said corner and a point of the outline located closest to said corner, wherein the transverse plane, P3, is the plane normal to the longitudinal axis, z, and intersecting the one or more outlet port orifices, which produces a maximum distance L3 between the transverse plane, P3, and the downstream end. wherein the upstream end of the slab nozzle is coupled to the bottom floor of the metallurgic vessel such that the outlet is in fluid communication with the inlet orifice, and wherein the downstream portion of the slab nozzle is inserted in the cavity of the slab mould over an inserted length, Li, measured between the upstream end of the mould cavity and the downstream end of the slab nozzle, and in alignment with the longitudinal axis, z, and the first and second transverse axes, x, y.
13. Metallurgic assembly according to claim 12, wherein in a section of the metallurgic assembly along the transverse plane, P3, comprises, a first tight gap between the cavity wall outline and the first lateral portions (Ac1) of the outer wall outline having a first tight gap width, Gt1,measured at a first side of the first transverse axis, x, along a segment, m, parallel to the second transverse axis, y, and passing by an intersection point between the first lateral portions (Ac1) of the outer wall outline and the first transverse axis, x, which is not more than half of a first flared gap width, Gf1, of a first flared gap between the cavity wall outline and the first lateral portions (Ac1) of the outer wall outline measured at a second side of the first transverse axis, x, along the segment, m, wherein a second tight gap between the cavity wall outline and the second lateral portions (Ac2) of the outer wall outline having a second tight gap width, Gt2, measured at the second side of the first transverse axis, x, along a segment, n, parallel to the second transverse axis, y, and passing by an intersection point between the second lateral portions (Ac2) of the outer wall outline and the first transverse axis, x, which is not more than half of a second flared gap width, Gf2, of a second flared gap between the cavity wall outline and the second lateral portions (Ac2) of the outer wall outline measured at the first side of the first transverse axis, x, along the segment, n, the first tight width, Gt1, is substantially equal to the second tight gap width, Gt2, and Gt1 and Gt2 are comprised between 10 and 70% of a maximum thickness of the outer wall outline of the slab nozzle measured along the second transverse axis, y; and the first flared gap width, Gf1, is substantially equal to the second flared gap width, Gf2.
14. Metallurgic assembly according to claim 1, wherein a section of the metallurgic assembly along the transverse plane, P3, the cavity of the slab mould is defined by a cavity wall outline which comprises, a first and second cavity lateral portions having a lateral cavity thickness, Tmc, which is substantially constant, said first and second cavity lateral portions being aligned over the first transverse axis, x, and flanking on either side, a central cavity portion, having a central cavity width, Wmx, wherein the cavity wall outline is symmetrical with respect to both first and second transverse axes, x, y, having a thickness equal to Tmc on either side where it joins the first and second lateral portions, and evolving smoothly until reaching a maximum cavity thickness value, Tmx, at the intersection points between the cavity wall outline and the second transverse axis, y, and wherein Tmx can be same as or different from Tmc, and the outer wall outline of the slab nozzle: has a nozzle width, W, measured along the first transverse direction, x, which is smaller than the central cavity width, Wmx, has a nozzle thickness, T, measured along the second transverse axis, y, having a maximum value, Tx, and wherein, the thickness ratio, Tmx/Tx, of the slab mould to the slab nozzle is comprised between 1.2 and 2.7.
15. Metallurgic assembly according to claim 13, wherein one or more of the following magnitudes, the first and second tight gap widths, Gt1, Gt2, the first and second flared gap widths, Gf1, Gf2, defined in claim 13 with respect to a section along the transverse plane, P3, are equivalently defined in any section of the metallurgic assembly along any transverse plane, Pm, wherein a transverse plane, Pm, is a plane normal to the longitudinal axis, z, and intersecting the downstream portion of the nozzle slab, over at least 40% of the inserted length, Li.
16. Metallurgic assembly according to claim 14, wherein one or more of the following magnitudes, the central cavity width, Wmx, and the cavity thicknesses, Tmc, Tmx, the nozzle width, W, and the nozzle thicknesses, T, Tx, defined in claim 14 with respect to a section along the transverse plane, P3, are equivalently defined in any section of the metallurgic assembly along any transverse plane, Pm, wherein a transverse plane, Pm, is a plane normal to the longitudinal axis, z, and intersecting the downstream portion of the nozzle slab, over at least 40% of the inserted length, Li.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) For a fuller understanding of the nature of the present invention, reference is made to the following detailed description taken in conjunction with the accompanying drawings in which:
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DETAILED DESCRIPTION OF THE INVENTION
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(14) The outer wall outlines a slab nozzle downstream portion (46d) extending along the longitudinal axis, z, from and including the downstream end (42d), and comprises one or more outlet port orifices (51d). A slab nozzle generally comprises at least a first and second front ports (51) opening at a corresponding first and second outlet port orifices. The first and second front ports may be separated from one another by a divider (10) extending in the central bore from the downstream end along the longitudinal axis, z, as shown in
(15) The downstream portion is defined by a width, W, measured along a first transverse axis, x, which is at least 1.5 times larger than a maximum thickness, Tx, of the downstream portion measured along a second transverse axis, y, wherein the first transverse axis, x, is normal to the longitudinal axis, z, and wherein the second transverse axis, y, is normal to both first transverse axis, x, and longitudinal axis, z. This W/Tx aspect ratio is required for inserting the downstream portion of the slab nozzle into the cavity of a slab mould, which is, of course, much wider than it is thick. For so-called thin slab nozzles, the WI Tx aspect ratio is at least 3, preferably at least 4 or 5.
(16) The slab nozzle further comprises a central bore (50) opening at said inlet orifice (50u), extending therefrom along the longitudinal axis, z, and intersecting the one or more front ports (51) each opening at the one or more outlet port orifices. When the upstream end of the slab nozzle is coupled to the bottom floor of a metallurgic vessel (100), such as a tundish, the central bore of the slab nozzle is aligned and in fluid communication with an outlet (101) provided at the bottom floor of the tundish, such that the metal melt can flow out of the tundish through the outlet and through the central bore and flow out of the slab nozzle through the outlet port orifices.
(17) The downstream portion of the slab nozzle is inserted in a cavity (110c) of a slab mould. The slab mould cavity has a width, Wm, measured along the first transverse axis, x, and a thickness, Tm, measured along the second transverse axis, y, which is constant for rectangular cavities (cf.
(18) As illustrated in
(19) The outer wall of a slab nozzle as seen by a stream of metal flowing towards the slab nozzle at the level of the outlet ports can be characterized by an outer wall outline of a cut view or section along a transverse plane, P3, wherein the transverse plane, P3, is the plane normal to the longitudinal axis, z, and intersecting the one or more outlet port orifices, that produces the maximum distance L3 between the transverse plane, P3, and the downstream end. Transverse plane P3 is therefore parallel to plane Q3=(x, y).
(20) In conventional slab nozzles, as illustrated in
(21) The gist of the present invention is to prevent two streams (70a, 70b) of molten metal from colliding in the narrow channels (111) formed on either side of a slab nozzle with the mould cavity wall. The principle is to create a round-about around the slab nozzle such that, like cars on a road, each opposite stream (70a, 70b) flows through its own channel (111) on one side only of the slab nozzle. As shown in
(22) As illustrated in
(23) It is important that the outer wall outline comprises lateral portions (Ac1, Ac2) having no axial symmetry with respect to the first transverse axis, x, in order to favour the flow of a stream of molten metal along one side of the outer wall of the slab nozzle, and to hinder the flow over the opposite side with respect to the axis, x. In one embodiment illustrated in
(24) In order to keep the outer wall thickness substantially constant, it is preferred that, in the cut view or section of the thin slab nozzle along the transverse plane, P3, the first and second front ports are defined by a first and second front ports outlines each comprising a lateral portion remote from the divider which is symmetrical solely with respect to the central point, c, and may be substantially parallel to the corresponding first and second lateral portions (Ac1, Ac2) of the outer wall outline. In other words, it is advantageous that the same asymmetry be applied to the geometry of the front ports as to the outer wall, such that the nozzle wall has a substantially constant thickness. This way there is no risk of having a weak spot wherein the wall is too thin, or of wasting refractory material by unnecessarily locally increasing the thickness of the outer wall.
(25) In the embodiment illustrated in
(26) In a cut view or section along the transverse plane, P3, and advantageously along any transverse plane, Pn, the outer wall outline of the downstream portion is inscribed in a virtual rectangle of first and second edges parallel to the first transverse axis, x, and third and fourth edges parallel to the second transverse axis, y.
(27) According to the embodiment illustrated in
(28) Alternatively, or concomitantly, as illustrated in
(29) As discussed supra, the round-about effect is obtained by forcing a stream of molten metal flowing towards a lateral profile of the slab nozzle to be deviated preferentially to a flowing side of the slab nozzle, rather than to the opposite, hindered side of the slab nozzle. This is achieved by facilitating flow through the flowing side of the slab nozzle by forming a broad funnel entrance at the flowing side and forming a narrow side of the funnel at the hindered side. By applying this geometry with a central symmetry at both lateral profiles of the slab nozzles, facing opposite flows of metal melt, each stream is deviated towards its own one-way street at one side of the slab nozzle (cf.
(30) As shown in
(31) The slab nozzle of the present invention is used in a metallurgic assembly for casting metal slabs as illustrated in
(32) The cavity of the slab mould is defined by cavity walls extending along the longitudinal axis, z. In a cut view or section of the metallurgic assembly along the transverse plane, P3, the cavity wall is defined by a cavity wall outline 36 illustrated in
(33) In one embodiment, Tmx=Tmc, defining a rectangular cavity wall outline, as shown in
(34) In cases where the slab to be cast has a thickness substantially lower than the thickness, T, of the slab nozzle, the mould cavity may include a funnel shaped portion allowing the insertion of the downstream portion of the slab nozzle. This embodiment is illustrated in
(35) A shown in
(36) In a first side of the second transverse axis, y, there is a first tight gap between the cavity wall outline and the first lateral portions (Ac1) of the outer wall outline having a first tight gap width, Gt1, measured at a first side of the first transverse axis, x, along a segment, m, parallel to the second transverse axis, y, and passing by an intersection point between the first lateral portions (Ac1) of the outer wall outline and the first transverse axis, x. The first tight gap width, Gt1, is not more than half, or not more than a third of a first flared gap width, Gf1, of a first flared gap between the cavity wall outline and the first lateral portions (Ac1) of the outer wall outline measured at a second side of the first transverse axis, x, along the segment, m, (2 Gt1≤Gf1),
(37) In a second, opposite side of the second transverse axis, y, there is a second tight gap between the cavity wall outline and the second lateral portions (Ac2) of the outer wall outline which is diagonally opposite to the first tight gap. The second tight gap has a second tight gap width, Gt2, measured at the second side of the first transverse axis, x, along a segment, n, parallel to the second transverse axis, y, and passing by an intersection point between the second lateral portions (Ac2) of the outer wall outline and the first transverse axis, x. The second tight gap width, Gt2, is not more than half, or not more than a third of a second flared gap width, Gf2, of a second flared gap between the cavity wall outline and the second lateral portions (Ac2) of the outer wall outline measured at the first side of the first transverse axis, x, along the segment, n, (2 Gt2≤Gf2).
(38) Ignoring any movements of the slab nozzle with respect to the mould cavity during continuous casting operations, since the mould cavity is symmetrical at least with respect to the central point, c, the first tight width, Gt1, Is substantially equal to the second tight gap width, Gt2, (Gt1=Gt2), and Gt1 and Gt2 may be comprised between 10 and 70% of a maximum thickness, Tx, of the outer wall outline of the slab nozzle measured along the second transverse axis, y, (0.1 Tx≤Gt1≤0.7 Tx, with i=1 or 2). Similarly, the first flared gap width, Gf1, is substantially equal to the second flared gap width, Gf2, (Gf1=Gf2).
(39) For example, a mould cavity may have a maximum thickness, Tmx=74−162 mm, depending on whether or not the mould cavity comprises a funnel shaped central cavity portion (i.e., whether Wmx is equal to or greater than 0). For such mould cavity, a thin slab nozzle can be used having a maximum thickness, Tx=60 mm, and the tight gap width, Gt1, Gt2, can be comprised between 6 and 42 mm, in general, about 25 mm. With a mould cavity having a maximum thickness, Tmx=156 to 251 mm, a slab nozzle can be used having a maximum thickness, Tx=130 mm. The tight gap width, Gt1, Gt2, can be comprised between 13 and 91 mm, in general, about 40 mm.
(40) The geometries of the metallurgic assembly defined supra with respect to a cut along the transverse plane, P3, preferably also apply to any cut along any transverse plane, Pm, defined as a plane normal to the longitudinal axis, z, and intersecting the downstream portion of the nozzle slab, over at least 40%, or at least 50%, or at least 75% of the inserted length, U. The transverse planes, Pm, may intersect the downstream portion of the nozzle slab above the downstream end of the slab at least 1%, or at least 5% of the inserted length, Li, above the downstream end. For example, the following magnitudes defined with respect to the cut along plane, P3, also apply for cuts along a plane, Pm: first and second tight gap widths, Gt1, Gt2, first and second flared gap widths, Gf1, Gf2, central cavity width, Wmx, and cavity thicknesses, Tmc, Tmx, nozzle width, W, nozzle thicknesses, T, Tx
(41) By preferentially deviating around the slab nozzle the two opposite converging molten metal streams flowing towards the two flanks of the slab nozzle, achieved by the specific geometry of the slab nozzle of the present invention, the impact or impinging area between the two opposite streams, normally located in the narrow channels between mould and slab nozzle is shifted away from the slab nozzle, and the turbulences thus created have substantially less impact on the erosion of the slab nozzle outer wall. The service life of the slab nozzle can thus be substantially prolonged. A slab nozzle according to the present invention can be used in any existing metallurgic installation and yield the foregoing advantages without any change in the rest of the installation. The round-about effect permits a substantial reduction of the erosion rate of the slab nozzle outer wall.
(42) Various features and characteristics of the invention are described in this specification and illustrated in the drawings to provide an overall understanding of the invention. It is understood that the various features and characteristics described in this specification and illustrated in the drawings can be combined in any operable manner regardless of whether such features and characteristics are expressly described or illustrated in combination in this specification. The inventor and the Applicant expressly intend such combinations of features and characteristics to be included within the scope of this specification, and further intend the claiming of such combinations of features and characteristics to not add new matter to the application. As such, the claims can be amended to recite, in any combination, any features and characteristics expressly or inherently described in, or otherwise expressly or inherently supported by, this specification. Furthermore, the Applicant reserves the right to amend the claims to affirmatively disclaim features and characteristics that may be present in the prior art, even if those features and characteristics are not expressly described in this specification. Therefore, any such amendments will not add new matter to the specification or claims, and will comply with the written description requirement under 35 U.S.C. § 112(a). The invention described in this specification can comprise, consist of, or consist essentially of the various features and characteristics described in this specification.
(43) TABLE-US-00001 Ref # Feature 1 Slab nozzle 5 protrusions 7 Stopper 42 d Slab nozzle downstream end 42 u Slab nozzle upstream end 46 d Slab nozzle downstream portion 50 u inlet orifice 50 central bore 51 front port 51 d outlet port orifices 70 a metal melt stream flowing in channel 111 in one direction 70 b metal melt stream flowing in channel 111 in opposite direction to stream 70a 100 Metallurgic vessel 101 Tundish outlet orifice 105 Slag layer formed on top of mould 110 mould 110 c Mould cavity 111 Channels formed on either side of a slab nozzle with the mould cavity wall A c1 first lateral portion A c2 second lateral portion A f area comprised between the outer wall outline and the edges of the virtual rectangle joining at the first and second diagonally opposed corners A t area comprised between the outer wall outline and the edges of the virtual rectangle joining at the other two diagonally opposed corners A x central bore d f Flared distance of the outer wall outline to the other two diagonally opposed corners d t Tight distance of the outer wall outline to first and second diagonally opposed corners G f1 first flared gap G f2 second flared gap G t1 first tight gap G t2 second tight gap L 3 distance between plane P3 and slab nozzle downstream end L i inserted length L n distance of Pn to the downstream end L Nozzle length P3 transverse plane normal to z, and intersecting an outlet port orifices at the largest distance, L3 P m plane normal to z, and intersecting the downstream portion of the nozzle slab inserted in cavity P n plane normal to the longitudinal axis, z, and intersecting the longitudinal axis, z, at a distance, Ln, to the downstream end Q 1 reference plane (x, z) Q 2 reference plane (y, z) Q 3 reference plane (x, y) T m mould cavity thickness T mc lateral cavity thickness T mx maximum cavity thickness T x Maximum nozzle thickness T nozzle thickness W m mould cavity width W mx width of central cavity portion W nozzle width x first transverse axis (normal to y and z) y second transverse axis (normal to x and z) z longitudinal axis (normal to x and y)