The History of Poiseuille's Law

Sutera, Salvatore P.; Skalak, Richard

doi:10.1146/annurev.fl.25.010193.000245

Cited by 726 publications

(250 citation statements)

References 12 publications

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“…note: The German Zoll is translated as inch; however, it might deviate slightly from the value generally used today; most likely 1 Zoll = 26.15mm [12]. 2 trans. note: The German Loth (or Lot) is a unit of mass, 1 Loth = 1/32 Handelspfund(Berlin) ≈ 14.6g [12].…”

Section: Gotthilf Heinrich Ludwig Hagen Pressure and Motion Of Dry Smentioning

confidence: 99%

Pressure and motion of dry sand: translation of Hagen’s paper from 1852

Tighe

Sperl

2007

Granular Matter

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In a remarkable paper from 1852, Gotthilf Heinrich Ludwig Hagen measured and explained two fundamental aspects of granular matter: The first effect is the saturation of pressure with depth in a static granular system confined by silo walls -generally known as the Janssen effect. The second part of his paper describes the dynamics observed during the flow out of the container -today often called the Beverloo law -and forms the foundation of the hourglass theory. The following is a translation of the original German paper from 1852.

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Section: Gotthilf Heinrich Ludwig Hagen Pressure and Motion Of Dry Smentioning

confidence: 99%

Pressure and motion of dry sand: translation of Hagen’s paper from 1852

Tighe

Sperl

2007

Granular Matter

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“…K s_uni was derived by adopting the method of Childs and Collisgeorge (1950) and modelling the soil water flux through a continuous function of Kosugi (1996) pore-size distribution. This was performed by combining the Hagen-Poiseuille equation (Sutera and Skalak, 1993) with Darcy's law and introducing the connectivity and tortuosity parameters τ 1 , τ 2 of Fatt and Dykstra (1951) and τ 3 of Vervoort and Cattle (2003). K s_uni is computed as…”

Section: Pollacco Unimodal Saturated Hydraulic Conductivity Modelmentioning

confidence: 99%

“…Balland and Pollacco, 2008;Cichota et al, 2013), Pollacco et al (2013) developed a new physical model that predicts unimodal K s solely from hydraulic parameters derived from the Kosugi (1996) θ (h). The K s model is derived by combining the Hagen-Poiseuille and Darcy laws (Sutera and Skalak, 1993) and by incorporating three semi-empirical tortuosity parameters. The model is based on the soil pore-size distribution and has been successfully validated using the European HYPRES (Wösten et al, 1998(Wösten et al, , 1999Lilly et al, 2008) and the UNSODA databases (Leij et al, 1999;Schaap and van Genuchten, 2006) but has not yet been applied to New Zealand soils.…”

Section: Introductionmentioning

confidence: 99%

Saturated hydraulic conductivity model computed from bimodal water retention curves for a range of New Zealand soils

Pollacco

Webb

McNeill

et al. 2017

Hydrol. Earth Syst. Sci.

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Abstract. Descriptions of soil hydraulic properties, such as the soil moisture retention curve, θ (h), and saturated hydraulic conductivities, K s , are a prerequisite for hydrological models. Since the measurement of K s is expensive, it is frequently derived from statistical pedotransfer functions (PTFs). Because it is usually more difficult to describe K s than θ (h) from pedotransfer functions, Pollacco et al. (2013) developed a physical unimodal model to compute K s solely from hydraulic parameters derived from the Kosugi θ (h). This unimodal K s model, which is based on a unimodal Kosugi soil pore-size distribution, was developed by combining the approach of Hagen-Poiseuille with Darcy's law and by introducing three tortuosity parameters. We report here on (1) the suitability of the Pollacco unimodal K s model to predict K s for a range of New Zealand soils from the New Zealand soil database (S-map) and (2) further adaptations to this model to adapt it to dual-porosity structured soils by computing the soil water flux through a continuous function of an improved bimodal pore-size distribution. The improved bimodal K s model was tested with a New Zealand data set derived from historical measurements of K s and θ(h) for a range of soils derived from sandstone and siltstone. The K s data were collected using a small core size of 10 cm diameter, causing large uncertainty in replicate measurements. Predictions of K s were further improved by distinguishing topsoils from subsoil. Nevertheless, as expected, stratifying the data with soil texture only slightly improved the predictions of the physical K s models because the K s model is based on pore-size distribution and the calibrated parameters were obtained within the physically feasible range. The improvements made to the unimodal K s model by using the new bimodal K s model are modest when compared to the unimodal model, which is explained by the poor accuracy of measured total porosity. Nevertheless, the new bimodal model provides an acceptable fit to the observed data. The study highlights the importance of improving K s measurements with larger cores.

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“…The decreased carotid distensibility in carotid atherosclerotic disease is expected to affect the blood flow and blood volume under normal physiologic condition, which is the case on CT angiography. However, the iatrogenic hand injection of contrast material on conventional angiography is expected to distend the vessel beyond what is expected under physiologic conditions secondary to the increase in pressure according to the Hagen-Poiseuille equation ( Length of pipe) [3]. A number of publications compared the percent carotid stenosis between CTA and CA, quantified the degree of stenosis according to the NASCET criteria on CTA and evaluated the relation between the volume of calcification in the mural plaques and the degree of vascular stenosis [4] [5] [6] [7].…”

Section: Introductionmentioning

confidence: 99%

Should We Be Concerned? Comparison of Catheter and CT Angiogram for Arterial Distensibility at the Site of Carotid Stenosis during Catheter Angiography

Abayazeed¹,

Lozano²,

Santos-Nunez³

et al. 2017

OJMI

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Purpose: During catheter angiogram (CA) there is momentary increase in intravascular volume and pressure due to intra-arterial injection that can potentially cause vascular distention at the stenotic site, whereas on CT angiogram (CTA) is unlikely due to intravenous administration. Methods: CA and CTA of the carotid artery from 29 patients were retrospectively studied. CA and CTA were obtained for each patient. Curved sagittal MPRs mirroring the carotid artery on CA were used to measure the diameter at stenosis and at the distal lumen. Mural plaque calcium content was graded on axial CTAs. Results: Accounting for repeated measurements, the likelihood that the lumen diameter from CA will be larger than CTA was higher at stenosis than distal to it but the difference in lumen diameters at stenosis was similar to CTA. There is insufficient evidence that intra-arterial hand-injection during CA leads to underestimation of the degree of stenosis. Percentage stenosis using the NASCET criteria differed between the 3 measurements, post hoc analysis showed significant difference between CA and axial CTA (p < 0.0001), but not between CA and curved sagittal CTA (p > 0.99). The difference in lumen diameter did not depend on our calcium grading (p = 0.484). Conclusions: There is insufficient evidence to suggest that intra-arterial hand-injection contributes to vessel distention and underestimation of percent stenosis during CA in this study. Mural plaque calcium does not affect the degree of stenosis on CTA.

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The History of Poiseuille's Law

Cited by 726 publications

References 12 publications

Pressure and motion of dry sand: translation of Hagen’s paper from 1852

Pressure and motion of dry sand: translation of Hagen’s paper from 1852

Saturated hydraulic conductivity model computed from bimodal water retention curves for a range of New Zealand soils

Should We Be Concerned? Comparison of Catheter and CT Angiogram for Arterial Distensibility at the Site of Carotid Stenosis during Catheter Angiography

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