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Reynold's equation

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Journal Article
Journal: GSA Bulletin
Published: 01 March 1967
GSA Bulletin (1967) 78 (3): 385–404.
... of experimental conditions was from a Reynolds number of 0.02 to 30.1. Results obtained in terms of Reynolds number are: (1) upper limit of Stokes' equation is 0.02; (2) upper limit of Oseen's equation is 2.0; (3) limit of Rubey's equation is between 2 and 12; (4) Wadell's equation is not found to be applicable...
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Dependence of shape factors on particle Reynolds number shows a negative natural logarithmic relationship (equation 22).
Published: 01 May 2001
Figure 9 Dependence of shape factors on particle Reynolds number shows a negative natural logarithmic relationship ( equation 22 ).
Journal Article
Published: 08 April 2019
Quarterly Journal of Engineering Geology and Hydrogeology (2019) 52 (4): 519–528.
...) is a dimensionless number defined as a measure of the ratio of inertial forces to viscous forces. Using the following equation, the Reynolds numbers were calculated for fluid flow through fractured media ( Wittke 1990 ; Brush & Thomson 2003 ): Re = 2 ρ u e μ = 2 ρ Q μ w (7...
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Journal Article
Journal: Geophysics
Published: 01 July 1986
Geophysics (1986) 51 (7): 1499–1501.
...Kenneth D. Mahrer Abstract One of the persistent problems with numerical solutions to the elastic wave equation is the finite size of the numerical grid. As with a physical body, the grid boundaries will reflect incident energy. If not eliminated or reduced substantially, these reflections...
Journal Article
Journal: Lithosphere
Publisher: GSW
Published: 27 June 2022
Lithosphere (2022) 2022 (Special 10): 5775275.
... is better than that of the linear LCL equation which is based on Darcy’s law. The corresponding critical Reynolds number at which the nonlinear flow begins to dominate in rough SF-ACs is around 300~ 500 The data used to support the findings of this study are available from the corresponding author...
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Journal Article
Published: 01 July 1991
Journal of Sedimentary Research (1991) 61 (4): 583–589.
... kg m (super -3) of suspension. Particle Reynolds numbers in the polydisperse suspensions range from less than 0.1 up to 100. Settling velocities of all size classes in the sediment are reduced by an increase in sediment concentration. The empirical equations of Richardson and Zaki appear useful...
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Contact area coefficient of spheres as a function of particle Reynolds number. CD values are estimated with Equations 5, 6, and 23 by a trial-and-error method.
Published: 01 September 2003
Figure 1 Contact area coefficient of spheres as a function of particle Reynolds number. C D values are estimated with Equations 5 , 6 , and 23 by a trial-and-error method.
Journal Article
Published: 01 March 1981
Journal of Sedimentary Research (1981) 51 (1): 121–128.
... equation W s = [1]/[18] [1]/[mu ](rho s - rho )gD n 2 (0.672 + 0.318E) for particles having Reynolds numbers less than 0.5, where rho s and rho are respectively the particle and fluid densities, D n is the grain nominal diameter, mu the fluid viscosity, and E is the grain shape factor. A more complex...
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Variation in nondimensional drag coefficient CD as a function of particle Reynolds number Rep (Equation 29, R2 = 0.998, which is significant at the 0.001 level).
Published: 01 September 2003
Figure 4 Variation in nondimensional drag coefficient C D as a function of particle Reynolds number Re p ( Equation 29 , R 2 = 0.998, which is significant at the 0.001 level).
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Box plots of field saturated hydraulic conductivities obtained with the single-ring infiltrometer at the locations of Las Cardas (LCA), El Romeral (ROM), and Quebrada de Talca (QDT) and determined using various calculation techniques: RE, Reynolds and Elrick (1990); WU, stationary Wu et al. (1997); KQ, simplified Reynolds et al. (2002); YG, Youngs (1987); BR, Brutsaert (1977); SW, Swartzendruber (1987); PH, Philip (1957) equation; WUT, transient Wu et al. (1997); and HR, Horton (1939) infiltration model.
Published: 01 May 2010
et al. (1997) ; KQ, simplified Reynolds et al. (2002) ; YG, Youngs (1987) ; BR, Brutsaert (1977) ; SW, Swartzendruber (1987) ; PH, Philip (1957) equation; WUT, transient Wu et al. (1997) ; and HR, Horton (1939) infiltration model.
Series: Clay Minerals Society Workshop Lectures
Published: 01 January 1993
DOI: 10.1346/CMS-WLS-5.2
EISBN: 9781881208259
... Abstract We have developed a computer program, MatchMod, which inverts the NEWMOD® forward modeling program of Reynolds (1985a) and provides a “match” for a given experimental X-ray diffraction (XRD) pattern. As used here, a forward model is a set of equations, based on first principles, which...
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Conceptual schematics illustrating the use of the pore-throat distribution to identify flow regimes in experiments with gaseous flow using steps of increased discharge and pressure as suggested in Klinkenberg’s procedure. The q is specific discharge (mean discharge/cross-sectional area [Q/A]) and related to the Reynolds (Re) number (equation 1). The Pm is mean pressure (Pm = (Pupstream – Pdownstream)/2) and related to the Knudsen (Kn) number (equation 2).
Published: 01 July 2021
area [ Q/A ]) and related to the Reynolds ( Re ) number ( equation 1 ). The P m is mean pressure ( P m = ( P upstream – P downstream )/2) and related to the Knudsen ( Kn ) number ( equation 2 ).
Series: SEPM Special Publication
Published: 01 January 2012
DOI: 10.2110/pec.12.102.0139
EISBN: 9781565763135
... diagrams with an emphasis on those studies that have considered high-viscosity fluids. For the case of viscous Martian brines, we find that ripples are stable under modest Shields numbers and low particle Reynolds numbers. These conditions translate into sediment sizes ranging from sand to gravel...
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Journal Article
Published: 01 September 2003
Journal of Sedimentary Research (2003) 73 (5): 714–719.
...Figure 1 Contact area coefficient of spheres as a function of particle Reynolds number. C D values are estimated with Equations 5 , 6 , and 23 by a trial-and-error method. ...
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Reconstruction of SST from data summarized in Figures 4 and 6. The lowest and highest SST estimate at each site are plotted from Figure 4 (grey area) and the warmest SST estimate using the Erez & Luz (1983) equation is indicated by the thin dotted line. In (a) the bold line represents modern SST based on data from Smith & Reynolds (1998) and Reynolds & Smith (1995). In (b) the thick dotted line is the SST predicted from the coupled ocean atmosphere model. Note that at ODP Site 659 the total dataset probably includes horizons older and younger than the Kaena Subchron. The relative position of the modern Polar, Arctic and Antarctic Polar fronts are marked in relation to ODP sites 704 and 907.
Published: 01 July 2005
Figure 7. Reconstruction of SST from data summarized in Figures 4 and 6 . The lowest and highest SST estimate at each site are plotted from Figure 4 (grey area) and the warmest SST estimate using the Erez & Luz (1983) equation is indicated by the thin dotted line. In (a) the bold line
Journal Article
Published: 01 April 2008
Journal of Sedimentary Research (2008) 78 (4): 245–257.
...Sadia M. Khan; Jasim Imran Abstract Numerical investigation of the dynamics of turbidity currents flowing through a series of minibasins is conducted. A two-dimensional vertical-structure-resolving finite-volume model is developed to solve the Reynolds-averaged Navier-Stokes equations along...
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Journal Article
Published: 01 August 1998
American Mineralogist (1998) 83 (7-8): 669–684.
... or martian basalts) strongly covaries with the ratio of non-bridging oxygens to tetrahedrally coordinated cations (NBO/T) (Mysen 1983) and can be estimated using the equation D (super (ol/liq)) (sub Cr3+) = -0.39.NBO/T+1.29. This relationship appears to be valid over the entire pressure range of olivine...
Journal Article
Published: 01 June 1977
Journal of Sedimentary Research (1977) 47 (2): 753–770.
...R. L. Slingerland Abstract A semi-empirical critical velocity equation and critical suspension velocity equation have been developed to explain the settling velocity relationships and concentrations of light and heavy minerals in sands. Based on solutions to these equations and supporting...
Journal Article
Published: 01 August 2014
Journal of Sedimentary Research (2014) 84 (8): 718–727.
.... A modification of the general settling-velocity equation of Ferguson and Church (2004) , involving a dependence of the drag coefficient-related constant, C 2 , on grain size, produces a satisfactory fit to the experimental observations. For a given grain size and at Reynolds numbers greater than ∼ 220, maërl...
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Plot of the difference between the values of logf(O2) calculated using Equation 11 and Table 2 for the experimental data using for calibration, and the reported values as a function of total Cr in glass. Data are from: MC86: Murck & Campbell (1986), B86: Barnes (1986), RR91: Roeder & Reynolds (1991), FF94: Forsythe & Fisk (1994).
Published: 01 April 2001
F ig . 5. Plot of the difference between the values of log f (O 2 ) calculated using Equation 11 and Table 2 for the experimental data using for calibration, and the reported values as a function of total Cr in glass. Data are from: MC86: Murck & Campbell (1986) , B86: Barnes (1986