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液体流经孔口及缝隙流量的压力特性管内压力和流速的关系

2022-11-16 阅读次数:

孔口和缝隙流量在液压技术中占有很重要的地位,它涉及液压元件的密封性,系统的容积效率,更为重要的是它是设计计算的基础,因此:小孔虽小(直径一般在1mm以内),缝隙虽窄(宽度一般在0、1mm以下),但其作用却不可等闲视之。

液体流经孔口及缝隙流量的压力特性管内压力和流速的关系(图1)

孔分类:薄壁孔l/d≤0·5,细长小孔l/d>4、短孔0.5薄壁小孔流量压力特性 取孔前通道断面为1—1断面,收缩断面为Ⅱ——Ⅱ断面,管道中心为基准面,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 液压柱塞泵 结论:∵q∝√△p,与μ无关。

∴流过薄壁孔的流量不受油温变化的影响短孔和细孔的流压特性 短孔:q=CqAT√2△p/ρ 细长孔:q=πd4△p/128μl=πd2△p/32μl=CA△p 结论:∵q∝△p反比于μ ∴流量受油温变化影响较大(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 细长孔:q=πd4△p/128μl=1/32μlπd4/4△p 液压柱塞泵∴流量通用方程:q=CAT△pф液体流经间隙的流量-压力特性 常见缝隙:平面缝隙、环状缝隙 缝隙流动状况:压差流动、剪切流动 压差流固定平板间隙流压力特性 例:设缝隙度高为δ,宽度b,度为l,两端压力 为p1、p2其压差为ΔP,从缝隙中取一微小六面体,左右两端所受压力为p和p+dp,上下两侧面所受摩擦切应力为τ+dτ和τ,则在水平方向受力平衡方程为: pbdy+(τ+dτ)bdx=(p+dp)bdy+τbdx,整理后得:dτ/dy=dp/dx ∵τ=μ·du/dy ∴液压柱塞泵d2u/dy2=1/μ·dp/dx 上式对y两次积分得:u=dp/dx·y2/2μ+C1y+C2 由边界条件:当y=0,u=0y=δ,u=u0 则有:C1=-δdp/dx/2μ,C2=0 此外,在缝隙液流中,压力沿x方向变化率dp/dx是一常数,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结论:在压差的作用下,固定平行平板间隙的流量与间隙高度成正比液压柱塞泵,说明液压元件中间隙的大小对其泄漏影响很大。

剪切流动时相对运动平板间隙流压特性:q=vbδ/2 压差与剪切流动时:q=bδ3△p/12μl±vbδ/2 剪切与压差流动方向一致时,取正号;剪切与压差流动方向相反时,取负号 流量压力特性流经环形缝隙的液体 环形缝隙:液压缸缸筒与活,阀芯与阀孔 分类:同心、偏心 同心环形缝隙流量 例:设圆柱体直径为D,缝隙厚度为δ,缝隙长度为l,若沿圆周展开,相当于平行平板缝隙,b=πD,所以q=πDδ3△p/12μl±πDδv/2,当相对速度V=0时,其液压柱塞泵流量公式为:q=πDδ3·△p/12μl设偏心距为e,则:q=πDδ3△p(l+1.5ε2)/12μl±πDδv/2ε—相对偏心率ε=e/δ,当内外圆表面没有相对运动时:q=πDδ3△p(l+1.5ε2)/12μl 结论:1)ε=1时q偏=2.5q同 2)ε=0时即同心圆环缝隙 3)∵q与ε2成正比,ε↑q↑ ∴应尽量做成同心,以减小泄漏量。

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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 液压柱塞泵 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液压柱塞泵 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-液压柱塞泵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液压柱塞泵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液压柱塞泵-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 液压柱塞泵 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液压柱塞泵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液压柱塞泵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液压柱塞泵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液压柱塞泵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-液压柱塞泵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液压柱塞泵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-液压柱塞泵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 液压柱塞泵 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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