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TECHNICAL PAPERS

Darcy’s Experiments and the Deviation to Nonlinear Flow Regime

[+] Author and Article Information
J. L. Lage

Mechanical Engineering Department, Southern Methodist University, P.O. Box 750337, Dallas, TX 75275-0337

B. V. Antohe

MicroFab Technologies Inc., Plano, TX 75074

J. Fluids Eng 122(3), 619-625 (Apr 26, 2000) (7 pages) doi:10.1115/1.1287722 History: Received August 27, 1998; Revised April 26, 2000
Copyright © 2000 by ASME
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References

Figures

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Normalization results of data in Table 1—continuous lines are for quadratic y-x relation; dashed lines are for linear y-x relation. Upper graph: k=3.30×10−8 m3s/kg obtained from a single data point. Lower graph: k=3.00×10−8 m3s/kg from best linear fit of five points.
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Residuals between the experimental pressure drop of Table 1 and the theoretical pressure drop obtained from the quadratic Eq. (4) with K/μ=k=3.385×10−8 m3s/kg, and C=1.1689×106 m
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Variance of the residuals between the experimental pressure drop of Table 1 and the theoretical pressure drop obtained from the quadratic Eq. (4)
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Darcy experimental data of Table 2, and least-square linear and quadratic curve fits
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Residuals between the experimental pressure drop of Table 2 and the theoretical pressure drop obtained from the Darcy Eq. (1) with k=2.809×10−8 m3s/kg.
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Variance of the residuals between the experimental pressure drop of Table 2 and the theoretical pressure drop obtained from the Darcy Eq. (1)
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Residuals between the experimental pressure drop of Table 2 and the theoretical pressure drop obtained from the quadratic Eq. (4) with K/μ=k=2.909×10−8 m3s/kg, and C=0.4293×106 m
Grahic Jump Location
Variance of the residuals between the experimental pressure drop of Table 2 and the theoretical pressure drop obtained from Eq. (4)
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Darcy experimental data of Table 1, and least-square linear and quadratic curve fits

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