2W.W密封型雙螺桿泵性能范圍:
高工作壓力4.0MPa
流量范圍 1~1000m3/h
溫度范圍-20~120℃
介質粘度 1~3000mm2/s,降低轉速可達到106mm2/s
介質粘度對雙螺桿泵性能影響較大,泵的名義排量是指在特定粘度條件下的排量,為保證泵能在較率下工作,在試驗不充分時,建議按下列粘度條件選擇轉速:
介質粘度cSt 轉速r/min
<400 1500
400 ~
1200~3600 750
對于粘度更高的介質,所應選用的轉速和驅動電機功率,請與制造廠聯系。
2W.W密封型雙螺桿泵應用行業:
1、油田:用作油、氣、水、微量細小固相顆粒等多相混輸泵及原油輸送泵。
2、造般業:用作船用裝載泵,船底掃艙及污水處理,主機潤滑泵,燃料油泵。
3、石油化學工業 :用作各種樹脂、顏料、石蠟、油漆、油墨、乳膠、各種油品、原油、重油等裝載和運輸泵。
4、熱電廠:用作重油、原油輸送泵,主機潤滑油泵。
5、食品工業:用作灑精、蜂蜜、糖漿、果汁、動植物油、牛奶、漿油輸送泵。
2W.W密封型雙螺桿泵的優點:
1、輸送液體平穩、無脈動、無攪拌、振動小、噪音低。
2、有很強的自吸性能,多相混輸時,含氣率不高于80%,含沙量不高于500g/m3.
3、外置軸承結構,采用獨立潤滑,可以輸送各種非潤滑性介質。
4、采用同步齒輪驅動,二轉子之間不接觸,即使短時間空轉也無妨。
5、泵體帶有加熱套,可以輸送各種清潔或含有固體小顆粒的低粘度或高粘度介質(一般顆粒直徑小于0.12-0.2mm)
6、正確的選用材料,甚至可以輸送很多有腐蝕性的介質。
7、雙吸式結構,轉子上沒有軸向力。
雙螺桿泵在船舶和石油化工等行業應用十分廣泛,二十世紀末期,雙螺桿泵在我國工業應用方面發展穩定且迅速。近幾年乃至未來十年,隨著經濟的發展和形勢的需要,我國的造船業將有很大的發展空間。由于我國的造船技術不斷攀升,造船的重量噸位也不斷加大,因此大排量的船用雙螺桿泵需求量越來越大,小流量的雙螺桿泵己經滿足不了工業的需求,所以對大排量雙螺桿泵的研究與開發對我國石油行業的應用和發展具有實際指導意義。
雙螺桿轉子是雙螺桿泵的關鍵核心部件,它們是相互嚙合的,而決定螺桿轉子的幾何形狀進而直接影響到雙螺桿泵性能的因素為轉子的端面型線。因此,研究雙螺桿泵轉子的型線是至關重要的,也是基礎的,通過研究優化型線,對螺桿轉子進行優化、進而提高整機性能。本課題的立足點在于先分析雙螺桿泵的普遍特性,再分析比較各種不同類型的型線在工作時對螺桿泵性能的影響(受力、強度等),后優化得出適合產品條件的型線類型。通過得出的優的合適的型線,建立轉子三維模型,然后進行轉子的一系列分析和泵的流場分析。
雙螺桿泵型線的改進,是我國研究雙螺桿泵正確的起步和方向,通過深入研究,可以向型線技術學習,然后努力超越,設計出符合我國自身工況條件的型線,減小進口、擴大出口。
本文主要研究對象為雙螺桿泵,具體展開研究如以下幾個方面。
(1)螺桿轉子是雙螺桿泵的關鍵核心部件,決定螺桿轉子結構進而影響螺桿泵的整體性能的關鍵因素是轉子端面型線。先從型線的形成理論入手,深刻研究型線的基本理論,得出的型線組合方式,進而用PRO/E建立出轉子模型。
(2)研究轉子的幾何特性如螺旋角、齒間容積、接觸線、螺旋面等,看其是如何約束轉子進而影響螺桿泵的性能的。根據共扼原理得出轉子的共扼曲線,建立共扼轉子模型,計算雙螺桿泵的理論流量,觀察其公式與轉子的哪些結構參數有關。
(3)裝配好雙螺桿泵的所有零部件并進行運動仿真,對螺桿轉子的運動學進行分析,對其動平衡性進行分析。
(4)對雙螺桿泵的內流場進行FLUENT仿真分析,先根據實際尺寸建立流道模型,然后導入前處理軟件Gambit中進行網格劃分,進而導入FLUENT中添加邊界條件進行計算,后在后處理中觀察其壓力場分布,分析雙螺桿泵的壓力是如何建立的,在螺桿轉子的轉動過程中,流場各個截面壓力的變化規律,觀察嚙合區的壓力變化,找出大壓力;觀察其速度場分布,得出流場中每點的速度大小分布規律;觀察其速度矢量分布,看轉子在旋轉過程中是如何帶動流體跟隨其一起轉動的,通過觀察速度方向,可以找出流體產生漩渦和泄漏的位置,為螺桿泵的性能優化提供參考。
(5)在保證雙螺桿泵理論流量和容積效率不下降的前提下,通過改變螺桿轉子的螺旋深度和導程的大小,來優化轉子的結構參數,達到轉子輕量化的目的。然后將優化后的雙螺桿泵內流場進行FLUENT仿真分析,跟優化前的流場作對比,觀察其壓力場和速度場變化。
2W.W型雙螺桿泵性能參數表:
型號 規格 | 壓力 MPa | 1450r/nin | 950r/min | 720r/min | |||||||||||||
30cSt | 75cSt | 150cSt | 300cSt | 450cSt | 750cSt | 1500cSt | 2500cSt | ||||||||||
m3/h | kw | m3/h | kw | m3/h | kw | m3/h | kw | m3/h | kw | m3/h | kw | m3/h | kw | m3/h | kw | ||
2.5-15 | 0.6 | 2.4 | 1.5 | 3 | 2.2 | 3.2 | 2.2 | 3.3 | 2.2 | 1.8 | 1.5 | 1.8 | 2.2 | 1.3 | 2.2 | 1.3 | 2.2 |
1.0 | 1.7 | 2.2 | 2.6 | 2.2 | 2.9 | 3 | 3.1 | 3 | 1.7 | 2.2 | 1.7 | 2.2 | 1.2 | 2.2 | 1.2 | 2.2 | |
2.5-20 | 0.4 | 3.9 | 1.5 | 4.3 | 1.5 | 4.4 | 2.2 | 4.5 | 2.2 | 2.6 | 1.5 | 2.6 | 2.2 | 1.9 | 2.2 | 1.9 | 2.2 |
0.6 | 3.4 | 1.5 | 4 | 2.2 | 4.2 | 2.2 | 4.3 | 2.2 | 2.5 | 2.2 | 2.5 | 2.2 | 1.8 | 1.5 | 1.8 | 2.2 | |
2.8-18 | 0.6 | 4.3 | 2.2 | 4.8 | 2.2 | 4.9 | 3 | 5 | 3 | 2.9 | 2.2 | 2.9 | 3 | 2.1 | 3 | 2.1 | 3 |
1.0 | 3.7 | 3 | 4.4 | 4 | 4.7 | 4 | 4.8 | 4 | 2.7 | 3 | 2.7 | 3 | 2 | 3 | 2 | 4 | |
2.8-24 | 0.4 | 6.3 | 2.2 | 6.6 | 2.2 | 6.7 | 3 | 6.8 | 3 | 4 | 2.2 | 4 | 3 | 2.9 | 2.2 | 2.9 | 3 |
0.6 | 5.9 | 2.2 | 6.4 | 4 | 6.5 | 4 | 6.6 | 4 | 3.8 | 3 | 3.8 | 3 | 2.7 | 3 | 2.7 | 3 | |
3.1-22 | 0.6 | 7.7 | 3 | 8.2 | 4 | 8.3 | 4 | 8.4 | 4 | 5 | 3 | 5 | 4 | 3.7 | 3 | 3.7 | 4 |
1.0 | 7 | 4 | 7.8 | 5.5 | 8 | 5.5 | 8.1 | 5.5 | 4.8 | 4 | 4.8 | 5.5 | 3.5 | 4 | 3.5 | 5.5 | |
3.1-30 | 0.4 | 11.1 | 3 | 11.4 | 3 | 11.5 | 4 | 11.6 | 5.5 | 6.9 | 3 | 6.9 | 4 | 5.1 | 3 | 5.1 | 4 |
0.6 | 10.6 | 4 | 11.1 | 5.5 | 11.3 | 5.5 | 11.4 | 5.5 | 6.7 | 4 | 6.7 | 5.5 | 4.9 | 4 | 4.9 | 5.5 | |
3.2-18 | 1.6 | - | - | 4.8 | 7.5 | 5.8 | 7.5 | 6.3 | 7.5 | 2.4 | 5.5 | 2.4 | 5.5 | 0.9 | 4.0 | 0.9 | 5.5 |
2.0 | - | - | 4.2 | 7.5 | 5.5 | 7.5 | 6.1 | 11 | 2.3 | 7.5 | 2.3 | 7.5 | 0.9 | 4.0 | 0.9 | 5.5 | |
2.5 | - | - | 3.4 | 11 | 5.0 | 11 | 5.8 | 11 | 2.1 | 7.5 | 2.1 | 7.5 | 0.8 | 5.5 | 0.8 | 5.5 | |
3.2-24 | 1.0 | 5.5 | 5.5 | 7.6 | 7.5 | 8.4 | 11 | 8.7 | 11 | 4.6 | 5.5 | 4.6 | 5.5 | 2.7 | 5.5 | 2.7 | 5.5 |
1.25 | 4.6 | 7.5 | 7.2 | 11 | 8.2 | 11 | 8.5 | 11 | 4.5 | 5.5 | 4.5 | 7.5 | 2.6 | 5.5 | 2.6 | 7.5 | |
1.6 | 3.4 | 7.5 | 6.7 | 11 | 7.8 | 11 | 8.3 | 11 | 4.3 | 7.5 | 4.3 | 7.5 | 2.5 | 5.5 | 2.5 | 7.5 | |
3.2-30 | 0.6 | 9.7 | 5.5 | 11 | 5.5 | 11.5 | 5.5 | 11.7 | 7.5 | 6.8 | 5.5 | 6.8 | 5.5 | 4.3 | 5.5 | 4.3 | 5.5 |
1.0 | 8.0 | 7.5 | 10.2 | 7.5 | 10.9 | 7.5 | 11.2 | 7.5 | 6.5 | 5.5 | 6.5 | 5.5 | 4.3 | 5.5 | 4.3 | 5.5 | |
3.2-44 | 0.4 | 16.4 | 5.5 | 17.5 | 7.5 | 17.9 | 7.5 | 18.1 | 7.5 | 11.2 | 4.0 | 11.3 | 5.5 | 8.0 | 4.0 | 8.0 | 4.0 |
0.6 | 15.2 | 7.5 | 17 | 7.5 | 17.4 | 7.5 | 17.6 | 7.5 | 10.9 | 5.5 | 11 | 5.5 | 7.8 | 5.5 | 7.8 | 5.5 | |
3.4-24 | 1.6 | - | - | 7.4 | 11 | 9 | 11 | 9.8 | 11 | 5.7 | 7.5 | 5.7 | 7.5 | 4.3 | 7.5 | 4.3 | 11 |
2.0 | - | - | 6.5 | 11 | 8.5 | 11 | 9.5 | 15 | 5.5 | 11 | 5.5 | 11 | 4.1 | 7.5 | 4.1 | 11 | |
2.5 | - | - | 5.3 | 15 | 7.8 | 15 | 9.1 | 15 | 5.1 | 11 | 5.1 | 11 | 3.9 | 11 | 3.9 | 11 | |
3.4-30 | 1.0 | 8.3 | 7.5 | 11.4 | 7.5 | 12.4 | 11 | 12.9 | 11 | 7.6 | 7.5 | 7.6 | 7.5 | 5.6 | 7.5 | 5.6 | 7.5 |
1.25 | 6.9 | 11 | 10.7 | 11 | 12.1 | 11 | 12.6 | 11 | 7.4 | 7.5 | 7.4 | 11 | 5.5 | 7.5 | 5.5 | 11 | |
1.6 | 5 | 11 | 9.9 | 11 | 11.5 | 11 | 12.3 | 15 | 7.1 | 11 | 7.1 | 11 | 5.3 | 7.5 | 5.3 | 11 | |
3.4-40 | 0.6 | 14.8 | 5.5 | 16.8 | 7.5 | 17.5 | 7.5 | 17.8 | 11 | 10.6 | 7.5 | 10.6 | 7.5 | 7.8 | 7.5 | 7.8 | 7.5 |
1.0 | 12.2 | 11 | 15.5 | 11 | 16.6 | 11 | 17.2 | 11 | 10 | 7.5 | 10 | 7.5 | 7.4 | 7.5 | 7.4 | 7.5 | |
3.4-56 | 0.4 | 21.8 | 5.5 | 23.2 | 7.5 | 23.7 | 7.5 | 24 | 11 | 14.3 | 5.5 | 14.4 | 7.5 | 10.5 | 5.5 | 10.5 | 7.5 |
0.6 | 20.2 | 7.5 | 22.5 | 11 | 23.1 | 11 | 23.4 | 11 | 13.8 | 7.5 | 13.9 | 7.5 | 10.1 | 7.5 | 10.1 | 7.5 | |
4.0-26 | 1.6 | 12.4 | 15 | 14.6 | 15 | 15.7 | 18.5 | 9.3 | 11 | 9.3 | 15 | 7 | 11 | 7 | 15 | ||
2.0 | 11.2 | 15 | 13.9 | 18.5 | 15.3 | 22 | 9 | 15 | 9 | 15 | 6.8 | 15 | 6.8 | 15 | |||
2.5 | 9.6 | 18.5 | 13.1 | 22 | 14.8 | 22 | 8.6 | 15 | 8.6 | 15 | 6.6 | 15 | 6.6 | 15 | |||
4.0-32 | 1.0 | 13.9 | 11 | 18.2 | 15 | 19.6 | 15 | 20.3 | 15 | 12.2 | 11 | 12.2 | 15 | 9.1 | 11 | 9.1 | 11 |
1.25 | 12 | 15 | 17.3 | 15 | 19.1 | 15 | 20 | 18.5 | 11.9 | 11 | 11.9 | 15 | 8.9 | 11 | 8.9 | 15 | |
1.6 | 16.1 | 18.5 | 18.4 | 18.5 | 19.5 | 22 | 11.5 | 15 | 11.5 | 15 | 8.6 | 11 | 8.6 | 15 | |||
4.0-44 | 0.6 | 24.6 | 11 | 27.4 | 11 | 28.3 | 11 | 28.8 | 15 | 17.3 | 11 | 17.3 | 11 | 12.8 | 11 | 12.8 | 11 |
1.0 | 21.1 | 15 | 25.7 | 15 | 27.2 | 15 | 27.9 | 18.5 | 16.6 | 11 | 16.6 | 15 | 12.3 | 11 | 12.3 | 15 | |
4.0-64 | 0.4 | 37.2 | 11 | 39.1 | 11 | 39.8 | 11 | 40.1 | 15 | 24.1 | 11 | 24.2 | 11 | 17.8 | 11 | 17.8 | 11 |
0.6 | 35 | 11 | 38 | 15 | 38.9 | 15 | 39.4 | 18.5 | 23.5 | 11 | 23.7 | 11 | 17.3 | 11 | 17.3 | 11 | |
4.5-30 | 1.6 | 17.4 | 18.5 | 22.3 | 22 | 24 | 22 | 24.8 | 30 | 14.9 | 18.5 | 15 | 18.5 | 11.1 | 18.5 | 11.2 | 18.5 |
2.0 | 15.1 | 22 | 21.3 | 30 | 23.4 | 30 | 24.4 | 30 | 14.5 | 22 | 14.6 | 22 | 10.9 | 18.5 | 11 | 22 | |
2.5 | 12.3 | 30 | 20 | 30 | 22.6 | 30 | 23.9 | 30 | 14.2 | 22 | 14.3 | 22 | 10.6 | 18.5 | 10.6 | 22 | |
4.5-40 | 1.0 | 29.1 | 18.5 | 32.4 | 18.5 | 33.5 | 22 | 34 | 22 | 20.5 | 18.5 | 20.6 | 18.5 | 15.3 | 15 | 15.3 | 18.5 |
1.25 | 27.5 | 18.5 | 31.6 | 22 | 33 | 30 | 33.7 | 30 | 20.2 | 18.5 | 20.3 | 22 | 15 | 18.5 | 15.1 | 22 | |
1.6 | 25.3 | 30 | 30.6 | 30 | 32.3 | 30 | 33.2 | 30 | 19.9 | 22 | 20 | 22 | 14.7 | 18.5 | 14.8 | 22 | |
4.5-52 | 0.6 | 41.8 | 15 | 43.9 | 15 | 44.6 | 18.5 | 45 | 22 | 27.3 | 15 | 27.4 | 18.5 | 20.3 | 15 | 20.3 | 15 |
1.0 | 38.9 | 22 | 42.4 | 22 | 43.6 | 30 | 44.2 | 30 | 26.6 | 18.5 | 26.7 | 18.5 | 19.7 | 15 | 19.7 | 18.5 | |
4.5-72 | 0.4 | 57.3 | 15 | 58.8 | 15 | 59.3 | 18.5 | 59.6 | 22 | 36.1 | 15 | 36.2 | 15 | 26.9 | 15 | 26.9 | 18.5 |
0.6 | 55.5 | 18.5 | 57.7 | 22 | 58.5 | 22 | 58.9 | 22 | 35.5 | 22 | 35.6 | 18.5 | 26.3 | 18.5 | 26.3 | 22 | |
5.0-28 | 2.5 | 17.3 | 37 | 24.7 | 37 | 27.2 | 37 | 28.4 | 45 | 17.1 | 30 | 17.3 | 37 | 12.9 | 30 | 12.9 | 37 |
3.2 | 23.1 | 45 | 26.3 | 45 | 27.9 | 55 | 16.7 | 37 | 17 | 45 | 12.7 | 37 | 12.8 | 37 | |||
4.0 | 21.3 | 55 | 25.3 | 55 | 27.3 | 75 | 16.2 | 45 | 16.5 | 45 | 12.4 | 37 | 12.6 | 45 | |||
5.0-40 | 1.6 | 34.6 | 37 | 39.5 | 45 | 41.1 | 45 | 42 | 45 | 25.4 | 30 | 25.6 | 37 | 19.9 | 30 | 20 | 37 |
2.0 | 32.3 | 37 | 38.4 | 45 | 40.5 | 45 | 41.5 | 45 | 25.1 | 37 | 25.3 | 37 | 18.8 | 37 | 18.9 | 37 | |
5.0-40 | 2.5 | 29.4 | 45 | 37.1 | 45 | 39.7 | 55 | 41 | 55 | 24.7 | 37 | 24.9 | 37 | 18.5 | 37 | 18.6 | 37 |
5.0-52 | 1.0 | 50.7 | 30 | 53.9 | 30 | 55 | 37 | 55.5 | 37 | 33.8 | 30 | 34 | 30 | 25.3 | 30 | 25.4 | 30 |
1.25 | 49.1 | 30 | 53.1 | 37 | 54.4 | 37 | 55.1 | 45 | 33.5 | 30 | 33.7 | 37 | 25 | 30 | 25.1 | 37 | |
1.6 | 46.9 | 37 | 52 | 45 | 53.7 | 45 | 54.6 | 55 | 33.1 | 37 | 33.3 | 37 | 24.7 | 30 | 24.7 | 37 | |
5.0-64 | 0.6 | 66.1 | 22 | 68.1 | 22 | 68.8 | 30 | 39.1 | 37 | 42.3 | 22 | 42.4 | 30 | 31.6 | 22 | 31.7 | 30 |
1.0 | 63.2 | 30 | 66.6 | 37 | 67.7 | 37 | 68.2 | 45 | 41.5 | 30 | 41.7 | 30 | 30.9 | 30 | 31 | 30 | |
5.0-96 | 0.4 | 96.7 | 22 | 98.1 | 22 | 98.6 | 30 | 98.8 | 37 | 60.3 | 22 | 60.4 | 30 | 45.1 | 22 | 45.1 | 30 |
0.6 | 89.7 | 30 | 96.9 | 37 | 97.7 | 37 | 98 | 45 | 59.6 | 30 | 59.7 | 30 | 44.4 | 30 | 44.5 | 30 | |
5.0-30 | 2.5 | 26.7 | 45 | 34.1 | 45 | 36.6 | 55 | 37.8 | 75 | 22.7 | 45 | 23 | 45 | 17.1 | 45 | 17.3 | 45 |
3.2 | 23 | 55 | 32.5 | 55 | 35.7 | 75 | 37.2 | 75 | 22.2 | 45 | 22.5 | 55 | 16.8 | 45 | 17 | 55 | |
4.0 | 30.6 | 75 | 34.6 | 75 | 36.6 | 75 | 21.8 | 55 | 22.1 | 55 | 16.6 | 55 | 16.8 | 55 | |||
5.5-44 | 1.6 | 43 | 45 | 51.7 | 45 | 54.6 | 55 | 56 | 55 | 33.8 | 37 | 34.1 | 45 | 25.5 | 37 | 25.6 | 45 |
2.0 | 39 | 55 | 49.9 | 55 | 53.6 | 55 | 55.4 | 75 | 33.2 | 45 | 33.6 | 55 | 25 | 45 | 25.2 | 55 | |
2.5 | 34.1 | 55 | 47.8 | 75 | 52.3 | 75 | 54.6 | 75 | 32.7 | 55 | 33.3 | 55 | 24.7 | 45 | 24.8 | 55 | |
5.5-56 | 1.0 | 64.3 | 37 | 70 | 37 | 71.9 | 45 | 72.9 | 55 | 44.1 | 37 | 44.4 | 45 | 33 | 37 | 33.2 | 45 |
1.25 | 61.6 | 45 | 68.8 | 45 | 71.1 | 55 | 72.2 | 75 | 43.7 | 37 | 44 | 45 | 32.7 | 37 | 32.8 | 45 | |
1.6 | 57.9 | 55 | 67 | 55 | 70 | 75 | 71.5 | 75 | 43.1 | 45 | 43.4 | 45 | 32.3 | 37 | 32.4 | 45 | |
5.5-80 | 0.6 | 99.7 | 30 | 103 | 37 | 104 | 45 | 105 | 45 | 64 | 30 | 64.2 | 37 | 48 | 30 | 48 | 37 |
1.0 | 94.6 | 45 | 100 | 55 | 102 | 55 | 103 | 75 | 62.8 | 45 | 63.1 | 45 | 46.9 | 37 | 47 | 45 | |
5.5-120 | 0.4 | 146 | 30 | 149 | 37 | 150 | 45 | 150 | 55 | 91.8 | 30 | 92 | 37 | 68.6 | 30 | 68.7 | 37 |
0.6 | 143 | 45 | 147 | 55 | 148 | 55 | 149 | 55 | 90.7 | 37 | 90.9 | 45 | 67.6 | 37 | 67.6 | 45 | |
6.1-36 | 2.5 | 40.9 | 75 | 51.9 | 75 | 55.7 | 75 | 57.4 | 90 | 33 | 55 | 33.4 | 75 | 24.9 | 55 | 25 | 75 |
3.2 | 35.4 | 75 | 49.5 | 90 | 54.2 | 90 | 56.6 | 110 | 32.4 | 75 | 32.9 | 75 | 24.5 | 75 | 24.7 | 75 | |
4.0 | 46.8 | 110 | 52.7 | 110 | 55.6 | 110 | 31.7 | 75 | 32.4 | 90 | 24 | 75 | 24.3 | 75 | |||
6.1-48 | 1.6 | 67.6 | 55 | 74.8 | 75 | 77.3 | 75 | 78.5 | 75 | 47.5 | 55 | 47.8 | 75 | 35.7 | 55 | 35.8 | 75 |
2.0 | 64.2 | 75 | 73.3 | 75 | 76.3 | 75 | 77.8 | 90 | 47 | 75 | 47.5 | 75 | 35.2 | 55 | 35.3 | 75 | |
2.5 | 60 | 75 | 71.4 | 90 | 75.2 | 90 | 77.1 | 110 | 46.4 | 75 | 46.9 | 75 | 34.9 | 55 | 34.9 | 75 | |
6.1-64 | 1.0 | 99 | 45 | 103 | 55 | 105 | 75 | 106 | 75 | 64.5 | 45 | 64.7 | 55 | 48.4 | 45 | 48.5 | 55 |
1.25 | 96.6 | 55 | 102 | 75 | 104 | 75 | 105 | 90 | 64.1 | 55 | 64.3 | 75 | 48 | 55 | 48 | 75 | |
1.6 | 93.3 | 75 | 101 | 75 | 103 | 90 | 104 | 90 | 63.2 | 75 | 63.7 | 75 | 47.2 | 55 | 47.5 | 75 |