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Journal articles on the topic 'STOKES LAW'

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Published: 4 June 2021

Last updated: 5 February 2022

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1

Cartwright, Julyan H. E. "Stokes' law, viscometry, and the Stokes falling sphere clock." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2179 (August 3, 2020): 20200214. http://dx.doi.org/10.1098/rsta.2020.0214.

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Clocks run through the history of physics. Galileo conceived of using the pendulum as a timing device on watching a hanging lamp swing in Pisa cathedral; Huygens invented the pendulum clock; and Einstein thought about clock synchronization in his Gedankenexperiment that led to relativity. Stokes derived his law in the course of investigations to determine the effect of a fluid medium on the swing of a pendulum. I sketch the work that has come out of this, Stokes drag, one of his most famous results. And to celebrate the 200th anniversary of George Gabriel Stokes’ birth I propose using the time of fall of a sphere through a fluid for a sculptural clock—a public kinetic artwork that will tell the time. This article is part of the theme issue ‘Stokes at 200 (part 2)’.

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2

Auerbach, David. "Some limits to Stokes’ law." American Journal of Physics 56, no. 9 (September 1988): 850–51. http://dx.doi.org/10.1119/1.15442.

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3

Nasyrov, V. V., and M. G. Nasyrova. "About the Stokes law applicability." Mathematical Structures and Modeling, no. 2 (54) (October 5, 2020): 40–48. http://dx.doi.org/10.24147/2222-8772.2020.2.40-48.

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We find the correction coefficient for the Stokes law that permit to use this formula in case of a spherical body in a tube with the glycerol. An interpolation formula for the correction coefficient for a motion with low-Reynolds-number is obtained.

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4

Nabarro, F. R. N. "Cottrell-stokes law and activation theory." Acta Metallurgica et Materialia 38, no. 2 (February 1990): 161–64. http://dx.doi.org/10.1016/0956-7151(90)90044-h.

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5

Schiller, Robert. "The Stokes-Einstein law by macroscopic arguments." International Journal of Radiation Applications and Instrumentation. Part C. Radiation Physics and Chemistry 37, no. 3 (1991): 549–50. http://dx.doi.org/10.1016/1359-0197(91)90033-x.

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6

Greenwood, Margaret Stautberg, Frances Fazio, Marie Russotto, and Aaron Wilkosz. "Using the Atwood machine to study Stokes’ law." American Journal of Physics 54, no. 10 (October 1986): 904–6. http://dx.doi.org/10.1119/1.14786.

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7

Marušić-Paloka, E. "On the Stokes Paradox for Power-Law Fluids." ZAMM 81, no. 1 (January 2001): 31–36. http://dx.doi.org/10.1002/1521-4001(200101)81:1<31::aid-zamm31>3.0.co;2-g.

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8

Barton, I. E. "Exponential-Lagrangian Tracking Schemes Applied to Stokes Law." Journal of Fluids Engineering 118, no. 1 (March 1, 1996): 85–89. http://dx.doi.org/10.1115/1.2817520.

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The exponential-Lagrangian tracking scheme applied to Stokes Law is developed by introducing a predictor-corrector formulation. The new predictor-corrector schemes are more accurate than the original scheme and are estimated to give a better performance taking into account the increased computational effort. The schemes are tested on two simple problems and the results are compared with the analytical solutions.

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9

Hu, Yuxi, and Reinhard Racke. "Compressible Navier–Stokes Equations with Revised Maxwell’s Law." Journal of Mathematical Fluid Mechanics 19, no. 1 (May 21, 2016): 77–90. http://dx.doi.org/10.1007/s00021-016-0266-5.

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10

Hong, Sun Ig, and Campbell Laird. "Deviations from Cottrell-Stokes law in cyclic deformation." Scripta Metallurgica et Materialia 26, no. 7 (April 1992): 1113–18. http://dx.doi.org/10.1016/0956-716x(92)90239-b.

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11

Bochniak, W. "The cottrell-stokes law for F.C.C. single crystals." Acta Metallurgica et Materialia 41, no. 11 (November 1993): 3133–40. http://dx.doi.org/10.1016/0956-7151(93)90043-r.

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12

Straub, Dieter, and Michael Lauster. "Angular momentum conservation law and Navier-Stokes theory." International Journal of Non-Linear Mechanics 29, no. 6 (November 1994): 823–33. http://dx.doi.org/10.1016/0020-7462(94)90055-8.

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13

Wojnar, Ryszard. "Heuristic derivation of Brinkman's seepage equation." Technical Sciences 4, no. 20 (August 16, 2017): 359–74. http://dx.doi.org/10.31648/ts.5433.

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Brinkman’s law is describing the seepage of viscous fluid through a porous medium and is more acurate than the classical Darcy’s law. Namely, Brinkman’s law permits to conform the flow through a porous medium to the free Stokes’ flow. However, Brinkman’s law, similarly as Schro¨dinger’s equation was only devined. Fluid in its motion through a porous solid is interacting at every point with the walls of pores, but the interactions of the fluid particles inside pores are different than the interactions at the walls, and are described by Stokes’ equation. Here, we arrive at Brinkman’s law from Stokes’ flow equation making use of successive iterations, in type of Born’s approximation method, and using Darcy’s law as a zero-th approximation.

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14

Pau, Paul Chi Fu, J. O. Berg, and W. G. McMillan. "Application of Stokes' law to ions in aqueous solution." Journal of Physical Chemistry 94, no. 6 (March 1990): 2671–79. http://dx.doi.org/10.1021/j100369a080.

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15

Pritchard, David, Catriona R. McArdle, and Stephen K. Wilson. "The Stokes boundary layer for a power-law fluid." Journal of Non-Newtonian Fluid Mechanics 166, no. 12-13 (July 2011): 745–53. http://dx.doi.org/10.1016/j.jnnfm.2011.04.011.

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16

Carlson, Edward H. "A microscopic picture of Reynolds number and Stokes’ law." American Journal of Physics 56, no. 11 (November 1988): 1045–46. http://dx.doi.org/10.1119/1.15341.

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17

Bar-Ziv, Ezra, Bin Zhao, Elaad Mograbi, David Katoshevski, and Gennady Ziskind. "Experimental validation of the Stokes law at nonisothermal conditions." Physics of Fluids 14, no. 6 (June 2002): 2015–18. http://dx.doi.org/10.1063/1.1476305.

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18

Voronel, A., E. Veliyulin, V. Sh Machavariani, A. Kisliuk, and D. Quitmann. "Fractional Stokes-Einstein Law for Ionic Transport in Liquids." Physical Review Letters 80, no. 12 (March 23, 1998): 2630–33. http://dx.doi.org/10.1103/physrevlett.80.2630.

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19

Boukrouche, Mahdi, Imane Boussetouan, and Laetitia Paoli. "Unsteady 3D-Navier–Stokes system with Tresca’s friction law." Quarterly of Applied Mathematics 78, no. 3 (November 22, 2019): 525–43. http://dx.doi.org/10.1090/qam/1563.

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20

Gorski, Patrick R., and Stanley I. Dodson. "Free-swimming Daphnia pulex can avoid following Stokes' law." Limnology and Oceanography 41, no. 8 (December 1996): 1815–21. http://dx.doi.org/10.4319/lo.1996.41.8.1815.

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21

Darvell, B. W., and N. B. Wong. "Viscosity of dental waxes by use of Stokes' Law." Dental Materials 5, no. 3 (May 1989): 176–80. http://dx.doi.org/10.1016/0109-5641(89)90009-2.

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22

Tanner, R. I. "Stokes paradox for power-law flow around a cylinder." Journal of Non-Newtonian Fluid Mechanics 50, no. 2-3 (December 1993): 217–24. http://dx.doi.org/10.1016/0377-0257(93)80032-7.

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23

Borggaard, Jeff, Traian Iliescu, and John Paul Roop. "An improved penalty method for power-law Stokes problems." Journal of Computational and Applied Mathematics 223, no. 2 (January 2009): 646–58. http://dx.doi.org/10.1016/j.cam.2008.02.002.

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24

McKenna, Brian. "Outsourcing stokes financial crime threat." Computer Fraud & Security 2004, no. 12 (December 2004): 1–2. http://dx.doi.org/10.1016/s1361-3723(05)70177-9.

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25

Rana, Anirudh Singh, Vinay Kumar Gupta, and Henning Struchtrup. "Coupled constitutive relations: a second law based higher-order closure for hydrodynamics." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2218 (October 2018): 20180323. http://dx.doi.org/10.1098/rspa.2018.0323.

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In the classical framework, the Navier–Stokes–Fourier equations are obtained through the linear uncoupled thermodynamic force-flux relations which guarantee the non-negativity of the entropy production. However, the conventional thermodynamic descrip- tion is only valid when the Knudsen number is sufficiently small. Here, it is shown that the range of validity of the Navier–Stokes–Fourier equations can be extended by incorporating the nonlinear coupling among the thermodynamic forces and fluxes. The resulting system of conservation laws closed with the coupled constitutive relations is able to describe many interesting rarefaction effects, such as Knudsen paradox, transpiration flows, thermal stress, heat flux without temperature gradients, etc., which cannot be predicted by the classical Navier–Stokes–Fourier equations. For this system of equations, a set of phenomenological boundary conditions, which respect the second law of thermodynamics, is also derived. Some of the benchmark problems in fluid mechanics are studied to show the applicability of the derived equations and boundary conditions.

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26

Yang, Hailing, and Yi Xia. "Hydrodynamic instability of nanofluids in round jet for small Stokes number." Modern Physics Letters B 33, no. 33 (November 30, 2019): 1950419. http://dx.doi.org/10.1142/s0217984919504190.

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The flow instability of particle-laden jet has been widely studied for large Stokes numbers. However, there is little attention on the case with small Stoke number, which often occurs in practical applications with nanoparticle-laden fluid. In this paper, the instability of nanofluids in round jet is studied numerically for [Formula: see text]. The results show that the law of nanofluids instability is quite similar to regular particle instability for axisymmetric azimuthal mode [Formula: see text]. However, for asymmetric azimuthal mode [Formula: see text], the regular pattern of instability is quite complex and different compared to common particle instability. The variations of wave amplification with wave number for different jet parameter [Formula: see text], Reynolds number Re, particle mass loading [Formula: see text], Knudsen number Kn, Stokes number St and the azimuthal modes [Formula: see text] are given. The flow usually gets more unstable as Knudsen number Kn increases, but the varying law gets inverse at high Reynolds number and at [Formula: see text]. The flow gets more unstable as Stokes number St increases at [Formula: see text] but gets more stable at [Formula: see text]. The decreases in wave number stimulate the flow instability at [Formula: see text] which shows distinct difference for the case at [Formula: see text]. Some unusual results of the effect of B, Re, Z on the flow instability are also discussed.

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27

Neumann, Wladimir, Doris Breuer, and Tilman Spohn. "Water-Rock Differentiation of Icy Bodies by Darcy law, Stokes law, and Two-Phase Flow." Proceedings of the International Astronomical Union 11, A29A (August 2015): 261–66. http://dx.doi.org/10.1017/s174392131600301x.

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AbstractThe early Solar system produced a variety of bodies with different properties. Among the small bodies, objects that contain notable amounts of water ice are of particular interest. Water-rock separation on such worlds is probable and has been confirmed in some cases. We couple accretion and water-rock separation in a numerical model. The model is applicable to Ceres, icy satellites, and Kuiper belt objects, and is suited to assess the thermal metamorphism of the interior and the present-day internal structures. The relative amount of ice determines the differentiation regime according to porous flow or Stokes flow. Porous flow considers differentiation in a rock matrix with a small degree of ice melting and is typically modelled either with the Darcy law or two-phase flow. We find that for small icy bodies two-phase flow differs from the Darcy law. Velocities derived from two-phase flow are at least one order of magnitude smaller than Darcy velocities. The latter do not account for the matrix resistance against the deformation and overestimate the separation velocity. In the Stokes regime that should be used for large ice fractions, differentiation is at least four orders of magnitude faster than porous flow with the parameters used here.

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28

Robbins, M. L., R. Varadaraj, J. Bock, and S. J. Pace. "EFFECT OF STOKES’ LAW SETTLING ON MEASURING OIL DISPERSION EFFECTIVENESS." International Oil Spill Conference Proceedings 1995, no. 1 (February 1, 1995): 191–96. http://dx.doi.org/10.7901/2169-3358-1995-1-191.

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ABSTRACT Industry laboratory tests to measure dispersion effectiveness for oil spills on water measure only the volume percentage of oil dispersed and not the dispersed particle size. The effect of particle size on settling behavior is particularly pronounced in tests that use long settling times to superimpose a dispersion stability criterion on the effectiveness rating. The authors have studied the effect of settling time on the volume cumulative particle size distribution measured by the Coulter Multisizer II. Using Stokes’ law settling to analyze the results, we have demonstrated the effects of settling flask geometry and sample volume on measured effectiveness. These arbitrary test variables control the settling path height and vary markedly from test to test. The intrinsic variables that control settling vs time—initial particle size distribution, aqueous viscosity, and aqueous and oil densities—are functions of aqueous, oil, and dispersant compositions; temperature; and dispersion energy. The author's analysis shows that the effect of settling variables is to cut off the initial cumulative particle size distribution above a certain particle size, thereby fixing measured effectiveness. Stokes’ law provides a measure of this cutoff size. Experimental data have been developed to support this theoretical analysis. This analysis points to the variables that must be considered with different laboratory tests to rank dispersants when settling is part of the test procedure. Even with a single test, ranking may change with settling time given an initially large fraction of large particles and a sufficiently large difference between the densities of water and oil.

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29

Walser, Regula, Alan E. Mark, and Wilfred F. van Gunsteren. "On the validity of Stokes' law at the molecular level." Chemical Physics Letters 303, no. 5-6 (April 1999): 583–86. http://dx.doi.org/10.1016/s0009-2614(99)00266-3.

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30

Pearson, Joseph, Tich Lam Nguyen, Helmut Cölfen, and Paul Mulvaney. "Sedimentation of C60and C70: Testing the Limits of Stokes’ Law." Journal of Physical Chemistry Letters 9, no. 21 (October 16, 2018): 6345–49. http://dx.doi.org/10.1021/acs.jpclett.8b02703.

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31

Wei, Dongming. "PENALTY APPROXIMATIONS TO THE STATIONARY POWER-LAW NAVIER–STOKES PROBLEM." Numerical Functional Analysis and Optimization 22, no. 5-6 (August 31, 2001): 749–65. http://dx.doi.org/10.1081/nfa-100105316.

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32

Feireisl, Eduard. "Compressible Navier–Stokes Equations with a Non-Monotone Pressure Law." Journal of Differential Equations 184, no. 1 (September 2002): 97–108. http://dx.doi.org/10.1006/jdeq.2001.4137.

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33

Wadhwa, Ajay. "An innovative method to study Stokes’ law in the laboratory." Physics Education 43, no. 3 (April 15, 2008): 301–4. http://dx.doi.org/10.1088/0031-9120/43/3/008.

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34

BOURGEAT, ALAIN, EDUARD MARUŠIĆ-PALOKA, and ANDRO MIKELIĆ. "WEAK NONLINEAR CORRECTIONS FOR DARCY’S LAW." Mathematical Models and Methods in Applied Sciences 06, no. 08 (December 1996): 1143–55. http://dx.doi.org/10.1142/s021820259600047x.

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We consider the Navier-Stokes system in a periodic porous medium Ωε where ε is the characteristic pore size. The viscosity is of order εβ with 0≤β<3/2, sufficiently close to the critical exponent β=3/2. An asymptotic expansion for the velocity and the pressure, in terms of the local Reynolds number Reε=ε3−2βis set and a second-order error estimate is proved.

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35

Hu, Yuxi, and Reinhard Racke. "Compressible Navier–Stokes Equations with hyperbolic heat conduction." Journal of Hyperbolic Differential Equations 13, no. 02 (June 2016): 233–47. http://dx.doi.org/10.1142/s0219891616500077.

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We investigate the system of compressible Navier–Stokes equations with hyperbolic heat conduction, i.e. replacing the Fourier’s law by Cattaneo’s law. First, by using Kawashima’s condition on general hyperbolic parabolic systems, we show that for small relaxation time [Formula: see text], global smooth solution exists for small initial data. Moreover, as [Formula: see text] goes to zero, we obtain the uniform convergence of solutions of the relaxed system to that of the classical compressible Navier–Stokes equations.

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36

Wang, Zhi-Chang. "Relationship Among the Raoult Law, Zdanovskii−Stokes−Robinson Rule, and Two Extended Zdanovskii−Stokes−Robinson Rules of Wang†." Journal of Chemical & Engineering Data 54, no. 2 (February 12, 2009): 187–92. http://dx.doi.org/10.1021/je800492w.

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37

Palaniappan, D., S. D. Nigam, and T. Amaranath. "Shear-free boundary in Stokes flow." International Journal of Mathematics and Mathematical Sciences 19, no. 1 (1996): 145–50. http://dx.doi.org/10.1155/s016117129600021x.

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A theorem of Harper for axially symmetric flow past a sphere which is a stream surface, and is also shear-free, is extended to flow past a doubly-body𝔅consisting of two unequal, orthogonally intersecting spheres. Several illustrative examples are given. An analogue of Faxen's law for a double-body is observed.

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38

Lushnikov, Pavel M. "Structure and location of branch point singularities for Stokes waves on deep water." Journal of Fluid Mechanics 800 (July 12, 2016): 557–94. http://dx.doi.org/10.1017/jfm.2016.405.

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The Stokes wave is a finite-amplitude periodic gravity wave propagating with constant velocity in an inviscid fluid. The complex analytical structure of the Stokes wave is analysed using a conformal mapping of a free fluid surface of the Stokes wave onto the real axis with the fluid domain mapped onto the lower complex half-plane. There is one square root branch point per spatial period of the Stokes wave located in the upper complex half-plane at a distance $v_{c}$ from the real axis. The increase of Stokes wave height results in $v_{c}$ approaching zero with the limiting Stokes wave formation at $v_{c}=0$. The limiting Stokes wave has a $2/3$ power-law singularity forming a $2{\rm\pi}/3$ radians angle on the crest which is qualitatively different from the square root singularity valid for arbitrary small but non-zero $v_{c}$, making the limit of zero $v_{c}$ highly non-trivial. That limit is addressed by crossing a branch cut of a square root into the second and subsequently higher sheets of the Riemann surface to find coupled square root singularities at distances $\pm v_{c}$ from the real axis at each sheet. The number of sheets is infinite and the analytical continuation of the Stokes wave into all of these sheets is found together with the series expansion in half-integer powers at singular points within each sheet. It is conjectured that a non-limiting Stokes wave at the leading order consists of an infinite number of nested square root singularities which also implies the existence in the third and higher sheets of additional square root singularities away from the real and imaginary axes. These nested square roots form a $2/3$ power-law singularity of the limiting Stokes wave as $v_{c}$ vanishes.

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39

Singh, Beer Pal, Ravish Kumar Upadhyay, Rakesh Kumar, Kamna Yadav, and Hector I. Areizaga-Martinez. "Infrared Radiation Assisted Stokes’ Law Based Synthesis and Optical Characterization of ZnS Nanoparticles." Advances in Optical Technologies 2016 (February 21, 2016): 1–6. http://dx.doi.org/10.1155/2016/8230291.

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The strategy and technique exploited in the synthesis of nanostructure materials have an explicit effect on the nucleation, growth, and properties of product materials. Nanoparticles of zinc sulfide (ZnS) have been synthesized by new infrared radiation (IR) assisted and Stokes’ law based controlled bottom-up approach without using any capping agent and stirring. IR has been used for heating the reaction surface designed in accordance with the well-known Stokes law for a free body falling in a quiescent fluid for the synthesis of ZnS nanoparticles. The desired concentration of aqueous solutions of zinc nitrate (Zn(NO3)2·4H2O) and thioacetamide (CH3CSNH2) was reacted in a controlled manner by IR radiation heating at the reaction area (top layer of reactants solution) of the solution which results in the formation of ZnS nanoparticles at ambient conditions following Stokes’ law for a free body falling in a quiescent fluid. The phase, crystal structure, and particle size of as-synthesized nanoparticles were studied by X-ray diffraction (XRD). The optical properties of as-synthesized ZnS nanoparticles were studied by means of optical absorption spectroscopic measurements. The optical energy band gap and the nature of transition have been studied using the well-known Tauc relation with the help of absorption spectra of as-synthesized ZnS nanoparticles.

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40

Shoji, Tetsuya, Munekazu Ohno, Seiji Miura, and Tetsuo Mohri. "Transient Behavior of a Stress-Strain Curve within Cottrell-Stokes Law." Materials Transactions, JIM 40, no. 9 (1999): 875–78. http://dx.doi.org/10.2320/matertrans1989.40.875.

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41

Jakse and Pasturel. "Stokes-Einstein relation and excess entropy scaling law in liquid Copper." Condensed Matter Physics 18, no. 4 (December 2015): 43603. http://dx.doi.org/10.5488/cmp.18.43603.

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42

Schmidt, J. R., and J. L. Skinner. "Brownian Motion of a Rough Sphere and the Stokes−Einstein Law†." Journal of Physical Chemistry B 108, no. 21 (May 2004): 6767–71. http://dx.doi.org/10.1021/jp037185r.

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43

Andreozzi, L., A. Di Schino, M. Giordano, and D. Leporini. "A study of the Debye - Stokes - Einstein law in supercooled fluids." Journal of Physics: Condensed Matter 8, no. 47 (November 18, 1996): 9605–8. http://dx.doi.org/10.1088/0953-8984/8/47/070.

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44

Shatalov, A., and M. Hafez. "Numerical solutions of incompressible Navier-Stokes equations using modified Bernoulli's law." International Journal for Numerical Methods in Fluids 43, no. 9 (2003): 1107–37. http://dx.doi.org/10.1002/fld.529.

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45

Yih, Chia‐Shun. "Movement of liquid inclusions in soluble solids: An inverse Stokes’ law." Physics of Fluids 29, no. 9 (September 1986): 2785–87. http://dx.doi.org/10.1063/1.865474.

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46

Chakraborti, Rajat Kanti, and Jagjit Kaur. "Noninvasive Measurement of Particle-Settling Velocity and Comparison with Stokes’ Law." Journal of Environmental Engineering 140, no. 2 (February 2014): 04013008. http://dx.doi.org/10.1061/(asce)ee.1943-7870.0000790.

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47

Kim, Joohyun, and T. Keyes. "On the Breakdown of the Stokes−Einstein Law in Supercooled Liquids†." Journal of Physical Chemistry B 109, no. 45 (November 2005): 21445–48. http://dx.doi.org/10.1021/jp052338r.

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48

Schofield, Jeremy, and Irwin Oppenheim. "Mode coupling and tagged particle correlation functions: the Stokes-Einstein law." Physica A: Statistical Mechanics and its Applications 187, no. 1-2 (August 1992): 210–42. http://dx.doi.org/10.1016/0378-4371(92)90419-q.

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49

Guo, Xiaoyi. "New Exact Solutions for Stokes First Problem of a Generalized Jeffreys Fluid in a Porous Half Space." Applied Mechanics and Materials 477-478 (December 2013): 246–53. http://dx.doi.org/10.4028/www.scientific.net/amm.477-478.246.

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The fractional calculus approach has been taken into account in the Darcys law and the constitutive relationship of fluid model. Based on a modified Darcys law for a viscoelastic fluid, Stokes first problem is considered for a generalized Jeffreys fluid in a porous half space. By using the Fourier sine transform and the Laplace transform, two forms of exact solutions of Stokes first problem for a generalized Jeffreys fluid in the porous half space are obtained in term of generalized Mittag-Leffler function, and one of them is presented as the sum of the similar Newtonian solution and the corresponding non-Newtonian contributions. As the limiting cases, solutions of the Stokes first problem for the generalized second fluid, the fractional Maxwell fluid and the Newtonian fluid in the porous half space are also obtained.

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50

Saeger, R. B., L. E. Scriven, and H. T. Davis. "Transport processes in periodic porous media." Journal of Fluid Mechanics 299 (September 25, 1995): 1–15. http://dx.doi.org/10.1017/s0022112095003399.

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The Stokes equation system and Ohm's law were solved numerically for fluid in periodic bicontinuous porous media of simple cubic (SC), body-centred cubic (BCC) and face-centred cubic (FCC) symmetry. The Stokes equation system was also solved for fluid in porous media of SC arrays of disjoint spheres. The equations were solved by Galerkin's method with finite element basis functions and with elliptic grid generation. The Darcy permeability k computed for flow through SC arrays of spheres is in excellent agreement with predictions made by other authors. Prominent recirculation patterns are found for Stokes flow in bicontinuous porous media. The results of the analysis of Stokes flow and Ohmic conduction through bicontinuous porous media were used to test the permeability scaling law proposed by Johnson, Koplik & Schwartz (1986), which introduces a length parameter Λ to relate Darcy permeability k and the formation factor F. As reported in our earlier work on the SC bicontinuous porous media, the scaling law holds approximately for the BCC and FCC families except when the porespace becomes nearly spherical pores connected by small orifice-like passages. We also found that, except when the porespace was connected by the small orifice-like passages, the permeability versus porosity curve of the bicontinuous media agrees very well with that of arrays of disjoint and fused spheres of the same crystallographic symmetry.

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