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液體流經(jīng)孔口及縫隙流量的壓力特性管內(nèi)壓力和流速的關(guān)系

2022-11-16 閱讀次數(shù):

孔口和縫隙流量在液壓技術(shù)中占有很重要的地位,它涉及液壓元件的密封性,系統(tǒng)的容積效率,更為重要的是它是設(shè)計計算的基礎(chǔ),因此:小孔雖?。ㄖ睆揭话阍?mm以內(nèi)),縫隙雖窄(寬度一般在0、1mm以下),但其作用卻不可等閑視之。

液體流經(jīng)孔口及縫隙流量的壓力特性管內(nèi)壓力和流速的關(guān)系(圖1)

孔分類:薄壁孔l/d≤0·5,細(xì)長小孔l/d>4、短孔0.5薄壁小孔流量壓力特性 取孔前通道斷面為1—1斷面,收縮斷面為Ⅱ——Ⅱ斷面,管道中心為基準(zhǔn)面,z1=z2,列伯努利方程如下:p1+ρα1v12/2=p2+ρα2v22/2+△pw∵v1105Cc=0.61∽0.63 Cv=0.97∽0.98 Cq=0.6∽0.62 液壓柱塞泵 結(jié)論:∵q∝√△p,與μ無關(guān)。

∴流過薄壁孔的流量不受油溫變化的影響短孔和細(xì)孔的流壓特性 短孔:q=CqAT√2△p/ρ 細(xì)長孔:q=πd4△p/128μl=πd2△p/32μl=CA△p 結(jié)論:∵q∝△p反比于μ ∴流量受油溫變化影響較大(T↑μ↓q↑) 流量通用方程 ∵薄壁孔:q=CqAT√2△p/ρ=Cq√2/ρAT√△p 短孔:q=CqAT√2△p/ρ=Cq√2/ρAT√△p 細(xì)長孔:q=πd4△p/128μl=1/32μlπd4/4△p 液壓柱塞泵∴流量通用方程:q=CAT△pф液體流經(jīng)間隙的流量-壓力特性 常見縫隙:平面縫隙、環(huán)狀縫隙 縫隙流動狀況:壓差流動、剪切流動 壓差流固定平板間隙流壓力特性 例:設(shè)縫隙度高為δ,寬度b,度為l,兩端壓力 為p1、p2其壓差為ΔP,從縫隙中取一微小六面體,左右兩端所受壓力為p和p+dp,上下兩側(cè)面所受摩擦切應(yīng)力為τ+dτ和τ,則在水平方向受力平衡方程為: pbdy+(τ+dτ)bdx=(p+dp)bdy+τbdx,整理后得:dτ/dy=dp/dx ∵τ=μ·du/dy ∴液壓柱塞泵d2u/dy2=1/μ·dp/dx 上式對y兩次積分得:u=dp/dx·y2/2μ+C1y+C2 由邊界條件:當(dāng)y=0,u=0y=δ,u=u0 則有:C1=-δdp/dx/2μ,C2=0 此外,在縫隙液流中,壓力沿x方向變化率dp/dx是一常數(shù),有:dp/dx=p2-p1/l=-(p1-p2)/l=-△p/l u=(δ-y)y·△p/2μl 故q=∫0hubdy=b∫0h△p·(δ-y)ydy/2μl =bδ3△p/12μl結(jié)論:在壓差的作用下,固定平行平板間隙的流量與間隙高度成正比液壓柱塞泵,說明液壓元件中間隙的大小對其泄漏影響很大。

剪切流動時相對運動平板間隙流壓特性:q=vbδ/2 壓差與剪切流動時:q=bδ3△p/12μl±vbδ/2 剪切與壓差流動方向一致時,取正號;剪切與壓差流動方向相反時,取負(fù)號 流量壓力特性流經(jīng)環(huán)形縫隙的液體 環(huán)形縫隙:液壓缸缸筒與活,閥芯與閥孔 分類:同心、偏心 同心環(huán)形縫隙流量 例:設(shè)圓柱體直徑為D,縫隙厚度為δ,縫隙長度為l,若沿圓周展開,相當(dāng)于平行平板縫隙,b=πD,所以q=πDδ3△p/12μl±πDδv/2,當(dāng)相對速度V=0時,其液壓柱塞泵流量公式為:q=πDδ3·△p/12μl設(shè)偏心距為e,則:q=πDδ3△p(l+1.5ε2)/12μl±πDδv/2ε—相對偏心率ε=e/δ,當(dāng)內(nèi)外圓表面沒有相對運動時:q=πDδ3△p(l+1.5ε2)/12μl 結(jié)論:1)ε=1時q偏=2.5q同 2)ε=0時即同心圓環(huán)縫隙 3)∵q與ε2成正比,ε↑q↑ ∴應(yīng)盡量做成同心,以減小泄漏量。

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90-L-055-KA-1-CD-60-P-4-S1-C-03-GBA-35-35-24 90L055KA1CD60P4S1C03GBA353524 90-L-055-KA-1-CD-60-R-3-C6-C-00-GBA-42-42-24 90L055KA1CD60R3C6C00GBA424224 液壓柱塞泵 90-L-055-KA-1-CD-60-R-3-S1-C-03-GBA-29-29-24 90L055KA1CD60R3S1C03GBA292924 90-L-055-KA-1-CD-60-S-3-C6-C-03-GBA-35-35-24 90L055KA1CD60S3C6C03GBA353524 90-L-055-KA-1-CD-60-S-3-C6-C-04-GBA-35-35-24 90L055KA1CD60S3C6C04GBA353524 90-L-055-KA-1-CD-60-S-3-S1-C-03-GBA-35-35-24液壓柱塞泵 90L055KA1CD60S3S1C03GBA353524 90-L-055-KA-1-CD-60-S-3-S1-C-03-GBA-38-38-20 90L055KA1CD60S3S1C03GBA383820 90-L-055-KA-1-CD-60-S-3-S1-C-03-GBA-38-38-24 90L055KA1CD60S3S1C03GBA383824 90-L-055-KA-1-CD-60-S-3-S1-C-03-GBA-42-42-24 90L055KA1CD60S3S1C03GBA424224 90-L-055-KA-液壓柱塞泵1-CD-60-S-4-S1-D-03-GBA-35-35-24 90L055KA1CD60S4S1D03GBA353524 90-L-055-KA-1-CD-80-L-3-S1-C-03-GBA-32-32-24 90L055KA1CD80L3S1C03GBA323224 90-L-055-KA-1-CD-80-L-3-S1-D-03-GBA-14-14-24 90L055KA1CD80L3S1D03GBA141424 90-L-055-KA-1-CD-80-P-3-C6-C-00-GBA-42-42-24 90L055KA1CD80P3C6C液壓柱塞泵00GBA424224 90-L-055-KA-1-CD-80-P-4-C6-C-03-GBA-32-32-24 90L055KA1CD80P4C6C03GBA323224 90-L-055-KA-1-CD-80-P-4-C6-C-03-GBA-35-35-24 90L055KA1CD80P4C6C03GBA353524 90-L-055-KA-1-CD-80-R-3-C6-C-02-GBA-35-35-24 90L055KA1CD80R3C6C02GBA353524 90-L-055-KA-1-CD-80-R-3-C6-D-02液壓柱塞泵-GBA-29-29-24 90L055KA1CD80R3C6D02GBA292924 90-L-055-KA-1-CD-80-R-3-S1-D-02-GBA-29-29-24 90L055KA1CD80R3S1D02GBA292924 90-L-055-KA-1-CD-80-R-3-S1-D-03-GBA-23-23-24 90L055KA1CD80R3S1D03GBA232324 90-L-055-KA-1-CD-80-R-4-C6-D-02-GBA-29-29-24 90L055KA1CD80R4C6D02GBA292924 液壓柱塞泵 90-L-055-KA-1-CD-80-R-4-S1-C-03-GBA-26-26-24 90L055KA1CD80R4S1C03GBA262624 90-L-055-KA-1-CD-80-R-4-S1-C-03-GBA-35-35-24 90L055KA1CD80R4S1C03GBA353524 90-L-055-KA-1-CD-80-R-4-S1-C-03-GBA-42-42-24 90L055KA1CD80R4S1C03GBA424224 90-L-055-KA-1-CD-80-S-3-C6-C-02-GBA-35-35-24 90L05液壓柱塞泵5KA1CD80S3C6C02GBA353524 90-L-055-KA-1-CD-80-S-3-C6-D-02-GBA-29-29-24 90L055KA1CD80S3C6D02GBA292924 90-L-055-KA-1-CD-80-S-3-S1-C-02-GBA-42-42-24 90L055KA1CD80S3S1C02GBA424224 90-L-055-KA-1-CD-80-S-3-S1-C-03-GBA-38-38-20 90L055KA1CD80S3S1C03GBA383820 90-L-055-KA-1-CD-8液壓柱塞泵0-S-3-S1-C-04-GBA-38-38-28 90L055KA1CD80S3S1C04GBA383828 90-L-055-KA-1-NN-60-L-3-S1-C-03-GBA-29-29-20 90L055KA1NN60L3S1C03GBA292920 90-L-055-KA-1-NN-60-L-3-S1-C-03-GBA-29-29-24 90L055KA1NN60L3S1C03GBA292924 90-L-055-KA-1-NN-60-L-3-S1-C-03-GBA-35-35-20 90L055KA1NN60L3S1C03GBA3液壓柱塞泵53520 90-L-055-KA-1-NN-60-L-3-S1-C-03-GBA-35-35-24 90L055KA1NN60L3S1C03GBA353524 90-L-055-KA-1-NN-60-L-3-S1-D-03-GBA-35-35-20 90L055KA1NN60L3S1D03GBA353520 90-L-055-KA-1-NN-60-L-4-S1-C-03-GBA-23-23-24 90L055KA1NN60L4S1C03GBA232324 90-L-055-KA-1-NN-60-P-3-S1-C-00-GBA-2液壓柱塞泵3-23-20 90L055KA1NN60P3S1C00GBA232320 90-L-055-KA-1-NN-60-P-3-S1-C-03-GBA-42-42-24 90L055KA1NN60P3S1C03GBA424224 90-L-055-KA-1-NN-60-P-3-S1-D-03-GBA-35-35-24 90L055KA1NN60P3S1D03GBA353524 90-L-055-KA-1-NN-60-R-3-C6-D-04-GBA-17-17-24 90L055KA1NN60R3C6D04GBA171724 90-L-液壓柱塞泵055-KA-1-NN-60-R-3-S1-C-00-GBA-35-35-24 90L055KA1NN60R3S1C00GBA353524 90-L-055-KA-1-NN-60-R-3-S1-C-00-GBA-42-42-24 90L055KA1NN60R3S1C00GBA424224 90-L-055-KA-1-NN-60-R-3-S1-C-03-GBA-35-35-24 90L055KA1NN60R3S1C03GBA353524 90-L-055-KA-1-NN-60-R-3-S1-C-05-GBA-42-42-24 90L055KA1NN液壓柱塞泵60R3S1C05GBA424224 90-L-055-KA-1-NN-60-R-4-S1-C-03-GBA-29-29-24 90L055KA1NN60R4S1C03GBA292924 90-L-055-KA-1-NN-60-S-3-C6-C-02-GBA-35-35-24 90L055KA1NN60S3C6C02GBA353524 90-L-055-KA-1-NN-60-S-3-C6-C-03-GBA-32-35-24 90L055KA1NN60S3C6C03GBA323524 90-L-055-KA-1-NN-60-S-3-液壓柱塞泵S1-B-03-GBA-32-20-24 90L055KA1NN60S3S1B03GBA322024 90-L-055-KA-1-NN-60-S-3-S1-C-03-GBA-35-35-24 90L055KA1NN60S3S1C03GBA353524 90-L-055-KA-1-NN-60-S-3-S1-C-03-GBA-38-38-20 90L055KA1NN60S3S1C03GBA383820 90-L-055-KA-1-NN-60-S-3-S1-C-03-GBA-38-38-24 90L055KA1NN60S3S1C03GBA383824 液壓柱塞泵 90-L-055-KA-1-NN-60-S-4-C6-C-03-GBA-32-32-24 90L055KA1NN60S4C6C03GBA323224 90-L-055-KA-1-NN-61-P-3-S1-C-00-GBA-35-35-24 90L055KA1NN61P3S1C00GBA353524。

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