The dynamics of capillary flow.

The dynamics of capillary flow.
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DOI:
10.1103/physrev.17.273
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发表时间:
1921-03-01
期刊:
影响因子:
--
通讯作者:
Washburn, EW
Washburn, EW
中科院分区:
其他
文献类型:
--
作者:
Washburn, EW

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液体对圆柱形毛细管的穿透。对半径为r的小毛细管的穿透速度为:Dl dt=P(r2+4εr)8ηL,式中P为驱动压力,ε为滑移系数,η为粘度。通过积分该表达式,得到在毛细压力下单独流动的液体穿透水平毛细管或小内表面毛细管的距离为(γRT·cosθ2η)的平方根,其中γ为表面张力,θ为接触角。这个量(γcosθ2η)称为液体的渗透系数或渗透率。
Penetration of Liquids into Cylindrical Capillaries.—The rate of penetration into a small capillary of radius r is shown to be: dl dt= P (r 2+ 4 ε r) 8 η l, where P is the driving pressure, ε the coefficient of slip and η the viscosity. By integrating this expression, the distance penetrated by a liquid flowing under capillary pressure alone into a horizontal capillary or one with small internal surface is found to be the square root of (γ rt· cos θ 2 η), where γ is the surface tension and θ the angle of contact. The quantity (γ cos θ 2 η) is called the coefficient of penetrance or the penetrativity of the liquid.