The History of Poiseuille's Law

Sutera, Salvatore P.

doi:10.1146/annurev.fluid.25.1.1

Cited by 172 publications

(204 citation statements)

References 10 publications

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“…3 The effect of oil on the thickness of asphaltene deposit versus time in pipeline for laminar flow. q = 220 cc/min, T oil = 50°C, For calculating the laminar flow inside the pipe, the following Hagen Poiseuille equation (Sutera and Skalak 1993) was used:…”

Section: Resultsmentioning

confidence: 99%

Investigation of asphaltene deposition under dynamic flow conditions

Salimi

Abdollahifar

2016

Pet. Sci.

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Asphaltene deposition is one of the most serious problems, which usually occurs in oil wells, petroleum production, oil processing, and transportation facilities. Deposition of heavy organic components, especially asphaltene, can lead to wellbore blockage and impacts well economics due to reduction in oil production. Therefore, it is necessary to pay more attention to finding some solution to overcome this problem. In this study, a pipe-loop apparatus for investigation of oil stability was employed to measure deposition thickness using a thermal method. The effects of many factors such as oil type, oil temperature, oil velocity, inhibitors, and solvents on asphaltene deposition were investigated. The results showed that the deposition increased with the increasing value of the colloidal instability index. Besides, the deposition thickness increased with the decreasing velocity of oil, but did not change with oil temperature. In addition, n-heptane could result in more deposition; however, toluene had no effect on the deposition. Branched dodecyl benzene sulfonic acid (Branched DBSA) and Linear DBSA as inhibitors decreased the rate of asphaltene deposition.

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Section: Resultsmentioning

confidence: 99%

Investigation of asphaltene deposition under dynamic flow conditions

Salimi

Abdollahifar

2016

Pet. Sci.

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“…5. The complex story of Poiseuille's research and publications is nicely described in a review paper by Sutera and Skalk (1993), which in turn draws on the classical memoir by Bingham (1940).…”

Section: Poiseuille Flowmentioning

confidence: 99%

Knudsen-Like Scaling May Be Inappropriate for Gas Shales

Patzek

2017

Day 3 Wed, October 11, 2017

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SummaryWe assert that a classification of gas flow regimes in shales that is widely accepted in the petroleum industry, may be inconsistent with the physics of high-pressure gas flow in capillaries. This classification follows from the 1946 work by Brown et al. (1946) that deals with the flow of gases in large industrial metal pipes, elbows and orifices under vacuum, with gas pressures of the order of 1 mm Hg or less. In another pioneering paper that year, Tsien (1946) analyzed the hypersonic flight of rockets in the thermosphere (above 50 miles of altitude), and established the widely accepted Knudsen flow regimes for the high-Reynolds, high-Mach flow of rarified gases. We show why both these papers are not quite applicable to flow of compressed gas in the hot, high-pressure shale pores with rough surfaces. In addition, it may be inappropriate to use the capillary tube metaphor to describe shale micropores or microcracks, simply because each is fed with gas by dozens or hundreds of intricately connected nanopores, which themselves may be slits rather than circular cylinders, and are charged with the dense, liquid-like gas.In the small-scale, low-velocity flows of gases, failure of the standard Navier-Stokes description (the standard Darcy law in petroleum engineering) can be quantified by the Knudsen number, ratio of the mean free path, λ, of gas molecules at the reservoir pressure and temperature to the characteristic pore radius, R. We carefully enumerate the multiple restrictive conditions that must hold for the slip-flow boundary condition to emerge. We also describe the dependence of the slip correction factor on the gas pressure and temperature, as well as the median pore size and rock roughness. In the derivation, we revisit the original approaches of Helmholtz and von Piotrowski (1860) and Maxwell, Niven (1890), which were somehow lost in the multiple translations from physics to petroleum engineering.For example, in Barnett mudrocks, naturally occurring pores are predominantly associated with organic matter and pyrite framboids. In organic matter, the median pore length is 100 nm, Loucks et al. (2009), and the pore radii are likely to be between 1 and 10 nm, Clarkson et al. (2013). Other thermally mature mudrocks may be similar, Bustin (2009), or not, Clarkson et al. (2013). With R = 50 nm, the ratio of λ/R is less than 0.1 for pressures exceeding 60 bars. When we compare the actual slip-flow correction with the accepted classification of gas flow regimes, there is an order of magnitude discrepancy. It appears that our new classification is conservative for pores larger than 5 nm in radius. Therefore, unless the fraction of gas molecules that are bounced off diffusively from the rough pore walls is very low, slip flow is unlikely to dominate in shales. SPE 187068-MSThe generally accepted "Knudsen-diffusion" in shales is based on a mistranslation of the flow physics and may give theoretically unsound predictions of the increased permeability of shales to gas flow. This increase of permeability is real...

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“…The single-capillary viscometer is based on Poiseuille's law 6 which describes isothermal, slip-free laminar flow of an incompressible Newtonian fluid in a long straight cylindrical tube. In this situation, the viscosity η is given by the relation…”

Section: Principlementioning

confidence: 99%

Viscosities of Liquid Cyclohexane and Decane at Temperatures between (303 and 598) K and Pressures up to 4 MPa Measured in a Dual-Capillary Viscometer

Liu

Trusler

2015

J. Chem. Eng. Data

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The viscosities of cyclohexane and decane are reported at temperatures between (303.15 and 598.15) K and at pressures of (0.1, 1, 2, 3 and 4) MPa. The experiments were carried out with a dual-capillary viscometer that measures the ratio of the viscosities at temperature T and pressure p to that at a reference temperature of 298.15 K and the same pressure. Absolute values of the viscosity were then obtained with an expanded relative uncertainties at 95 % confidence of 3.0 % by combining the measured ratios with literature values of the viscosity at the reference temperature.

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The History of Poiseuille's Law

Cited by 172 publications

References 10 publications

Investigation of asphaltene deposition under dynamic flow conditions

Investigation of asphaltene deposition under dynamic flow conditions

Knudsen-Like Scaling May Be Inappropriate for Gas Shales

Viscosities of Liquid Cyclohexane and Decane at Temperatures between (303 and 598) K and Pressures up to 4 MPa Measured in a Dual-Capillary Viscometer

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