Flow divider and fluid line system formed by same

A flow divider for connecting fluid lines serving for conveying a flowing fluid, comprising:

• a lumen surrounded by a wall and extending from a first flow divider opening located in a first flow divider end and a second flow divider opening, located spaced in the first flow divider end from the first flow divider opening, to a third flow divider opening located in a second flow divider end;
• wherein the lumen has a principal axis of inertia aligning the first and second flow divider ends, as well and a first symmetry plane and a second symmetry plane perpendicular thereto, and the first and second symmetry planes intersect one another in the principal axis of inertia;
• wherein the lumen has planar cross sectional areas, which are perpendicular to the principal axis of inertia and which have, in each case, a geometric center of gravity located in the first symmetry plane;
• wherein a first cross sectional area located in the first flow divider end has its geometric center of gravity removed from the principal axis of inertia of the lumen corresponds to the first flow divider opening of the flow divider;
• wherein a second cross sectional area is located in the first flow divider end and has its geometric center of gravity removed both from the principal axis of inertia of the lumen and also from the geometric center of gravity of the first cross sectional area corresponds to the second flow divider opening of the flow divider;
• wherein a third cross sectional area is located in the second flow divider end and has its geometric center of gravity lying on the principal axis of inertia of the lumen corresponds to the third flow divider opening of the flow divider;
• wherein each of the cross sectional areas of the lumen has a separation zi from the third cross sectional area, measured as a separation between a projection of the geometric center of gravity of such cross sectional area onto the principal axis of inertia and the geometric center of gravity of the third cross sectional area;
• wherein each of the cross sectional areas of the lumen has radii extending from a geometric center of gravity to the wall and, in each case, lying at an angle φ(−180°≤φ≤180°) to a reference axis, namely an imaginary axis lying both in the cross sectional area as well as also in the first symmetry plane of the lumen and, additionally, being perpendicular to its principal axis of inertia;
• wherein each radius lying at an angle φ=0° to the relevant reference axis points away from the second symmetry plane;
• wherein each radiusi of each cross sectional area fulfills, in each case, a formula associated with its cross sectional area and defined by a coefficients set Pi(Pi=[ai bi m1i m2i n1i n2i n3i]) containing, in each case, seven coefficients:
• a first coefficient of expansion ai, a second coefficient of expansion bi, a first symmetry coefficient m1i, a second symmetry coefficient m2i, a first form coefficient n1i, a second form coefficient n2i and a third form coefficients n3i;
• and
• wherein the coefficients are scaled to a greatest radius R0 of the third cross sectional area, namely:
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• 1
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• such that:
• the radii R1(φ) of the first cross sectional area of the lumen fulfill a first formula f1(φ, P1) defined by a first coefficients set P1=[a1 b1 m11 m21 n11 n21 n31] with a1=(0.4 . . . 0.5), b1=(0.4 . . . 0.5),
• the radii R2(φ) of the second cross sectional area of the lumen fulfill a second formula f2(φ, P2) defined by a second coefficients set P2=[a2 b2 m12 m22 n12 n22 n32] with a2=a1, b2=b1, m12=m11, m22=m21, n12=n11, n22=n21 and n32=n31,
• the radii R3(φ) of the third cross sectional area of the lumen fulfill a third formula f3(φ, P3) defined by a third coefficients set P3=[a3 b3 m13 m23 n13 n23 n33] with a3=1, b3=a3, m13=4, m23=m13, n13=2.0, n23=n13 and n33=n13, and
• the radii R4(φ) of a fourth cross sectional area of the lumen lying with its geometric center of gravity on the principal axis of inertia of the lumen and located at a separation z4 from the third cross sectional area, which amounts to greater than 20% of the separation z1(z4>0.2·z1) and less than 45% of the separation z1(z4<0,45·z1) fulfill a fourth formula f4(φ, P4) defined by a fourth coefficients
• set P4=[a4 b4 m14 m24 n14 n24 n34] with a4=(0.95 . . . 1), b4=(0.45 . . . 0.7), m14=4, m24=4,
• n14=3.0, n24=n14 and n34=(3 . . . 4).