混(hun)流泵是(shi)動量(liang)(liang)(liang)矩泵的(de)(de)(de)(de)(de)一種，其特點(dian)(dian)是(shi)流量(liang)(liang)(liang)范(fan)圍(wei)大而揚程(cheng)(cheng)較低（２０ｍ以(yi)下(xia)(xia)）。葉(xie)輪(lun)是(shi)混(hun)流泵的(de)(de)(de)(de)(de)關(guan)鍵(jian)部件，如圖１，在(zai)葉(xie)輪(lun)的(de)(de)(de)(de)(de)大批量(liang)(liang)(liang)生產(chan)中，鑄造法(fa)對母(mu)(mu)輪(lun)的(de)(de)(de)(de)(de)質量(liang)(liang)(liang)、型面(mian)(mian)(mian)(mian)(mian)的(de)(de)(de)(de)(de)幾何(he)形狀提出(chu)了很高的(de)(de)(de)(de)(de)要求，其葉(xie)片(pian)的(de)(de)(de)(de)(de)出(chu)口邊一般都做成傾斜(xie)的(de)(de)(de)(de)(de)。如何(he)加工出(chu)合(he)乎要求的(de)(de)(de)(de)(de)母(mu)(mu)輪(lun)成為(wei)生產(chan)中的(de)(de)(de)(de)(de)關(guan)鍵(jian)。１斜(xie)等(deng)距曲(qu)(qu)(qu)面(mian)(mian)(mian)(mian)(mian)及其相關(guan)公式(shi)定(ding)(ding)義已知直(zhi)紋(wen)面(mian)(mian)(mian)(mian)(mian)∑，在(zai)到直(zhi)紋(wen)面(mian)(mian)(mian)(mian)(mian)∑上與所有直(zhi)母(mu)(mu)線(xian)(xian)圖２斜(xie)等(deng)距曲(qu)(qu)(qu)面(mian)(mian)(mian)(mian)(mian)均相交(jiao)的(de)(de)(de)(de)(de)定(ding)(ding)曲(qu)(qu)(qu)線(xian)(xian)距離為(wei)定(ding)(ding)值ｈ的(de)(de)(de)(de)(de)曲(qu)(qu)(qu)線(xian)(xian)上每一點(dian)(dian)Ｐ取直(zhi)紋(wen)面(mian)(mian)(mian)(mian)(mian)的(de)(de)(de)(de)(de)法(fa)向(xiang)線(xian)(xian)段(duan)ＰＰ－，使之等(deng)于定(ding)(ding)長γ，且γ隨ｈ滿足線(xian)(xian)性關(guan)系，則稱Ｐ－形成的(de)(de)(de)(de)(de)曲(qu)(qu)(qu)面(mian)(mian)(mian)(mian)(mian)∑－為(wei)直(zhi)紋(wen)面(mian)(mian)(mian)(mian)(mian)∑的(de)(de)(de)(de)(de)斜(xie)等(deng)距曲(qu)(qu)(qu)面(mian)(mian)(mian)(mian)(mian)。下(xia)(xia)面(mian)(mian)(mian)(mian)(mian)我(wo)們來推導相關(guan)公式(shi)，如圖２，設(she)直(zhi)紋(wen)面(mian)(mian)(mian)(mian)(mian)∑上定(ding)(ding)曲(qu)(qu)(qu)線(xian)(xian)的(de)(de)(de)(de)(de)方(fang)程(cheng)(cheng)為(wei)ρ→＝ρ→（ｕ）則該直(zhi)紋(wen)面(mian)(mian)(mian)(mian)(mian)的(de)(de)(de)(de)(de)向(xiang)量(liang)(liang)(liang)方(fang)程(cheng)(cheng)為(wei)γ→（ｕｋ）＝ρ→（ｕ）＋ｈτ→（ｕ）（１）由定(ding)(ding)義，法(fa)向(xiang)距離γ滿足γ＝ｈｔｇα＋γ０（２）上述(shu)兩(liang)式(shi)中τ→（ｕ）為(wei)直(zhi)母(mu)(mu)線(xian)(xian)的(de)(de)(de)(de)(de)單位方(fang)向(xiang)向(xiang)量(liang)(liang)(liang)，ｔｇα為(wei)線(xian)(xian)性關(guan)系對應值，γ０為(wei)ｈ＝０時(shi)，即Ｐ在(zai)圖１葉(xie)輪(lun)示意圖定(ding)(ding)曲(qu)(qu)(qu)線(xian)(xian)ρ→（ｕ）上時(shi)，∑上對應點(dian)(dian)之間的(de)(de)(de)(de)(de)距離。而曲(qu)(qu)(qu)面(mian)(mian)(mian)(mian)(mian)（１）式(shi)的(de)(de)(de)(de)(de)單位法(fa)向(xiang)量(liang)(liang)(liang)為(wei)ｎ→（ｕｈ）＝γ→ｕ×γ→ｈ／｜γ→ｕ×γ→ｈ｜（３）于是(shi)斜(xie)等(deng)距曲(qu)(qu)(qu)面(mian)(mian)(mian)(mian)(mian)∑－的(de)(de)(de)(de)(de)方(fang)程(cheng)(cheng)為(wei)γ→１（ｕｈ）＝γ→（ｕｈ）＋（ｈｔｇα......

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