摘要：為降低水力損失，各類渣漿泵蝸殼斷面應以流動速度矩守恒原則確定其幾何尺寸。這類泵應有較高的抗磨蝕能力，蝸殼斷面形狀與一般離心泵有較大差別，難以獲得速度矩為常數條件下的解析解。以數值積分原理為依據，通過將蝸殼斷面規則劃分為微矩形后計算各微面積的流量再求和，并將將該值與一臨界流量值比較，以逐次逼近方法計算各斷面的幾何尺寸，最終獲取計算斷面滿足給定流動要求的形狀。給出了兩種可能的蝸殼幾何斷面的計算原則和數值積分過程，計算收斂的斷定及循環方法。結果將為設計人員確定渣漿泵蝸殼幾何尺寸提供精確求解的新依據，克服傳統流設計中的隨意性，改善這類泵蝸殼的效率和可靠性。
 

關鍵詞：渣漿泵；蝸殼；設計；數值積分；幾何尺寸
中圖分類號：TH311文獻標志碼：A文章編號

Numerical Integration Program for Calculating Cross Sections of Slurry Pump Volutes

Yan Jing，Wan Tao , Zeng Chaoqiang , Kan Nengqi
(School of Energy and Environment Xihua University, Chengdu, Sichuan, 610039)

Abstract: All cross sections of slurry pump volutes should be designed by employing constant speed momentum to reduce hydraulic losses occurring in the volutes. As wetted parts of these kinds of pumps must be highly erosion resistant, the volute cross section geometry is quite different from that of water pumps, and it is impossible to achieve analytical solutions to these complex section geometries. Based on numerical integration theorem, authors of this paper described a novel programme to determine the geometry of these sections. In the new way, each section is divided into numerous differential rectangularities and their flow rates are calculated in
terms of constant speed momentum. By comparing the sum of differential discharges  with a critical flow rate, the section geometry is finally settled in a trail-and-error way. The paper described calculating principles and numerical integration processes for two types of sections with different geometries. Results presented in this paper will provide engineers with new ways to find exact dimensions of slurry pump volutes, improving their hydraulic efficiency and reliability.
Key words: slurry pump；volute；design；numerical integration geometric dimension