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Tensor Darcy law for tissue screens of dense type. (English. Russian original) Zbl 0603.76099

Fluid Dyn. 20, 559-566 (1985); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1985, No. 4, 77-85 (1985).
This paper gives a theoretical derivation of equations required to calculate the hydraulic drag of tissue screens of the dense type in an arbitrary direction in a region where Darcy’s law holds, i.e., where the pressure drop depends linearly on the velocity of the free stream. The derivation is based on the application to the screens of what is called Happel’s cellular porous medium flow model. It should be noted that the cellular model makes it possible to obtain good agreement with experiment for a number of porous materials.

MSC:

76S05 Flows in porous media; filtration; seepage
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[1] ?SS/RCS surface tension propellant acquisition/expulsion tancage technology,? NASA CR 144 412 (1978).
[2] M. H. Blatt and J. C. Aydelott, ?Capillary device passive thermal conditioning,? J. Spacecr. Rockets,15, 236 (1978). · doi:10.2514/3.57310
[3] S. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics, Prentice-Hall, Englewood Cliffs (1965). · Zbl 0612.76032
[4] M. É. Aérov and O. M. Todes, The Hydraulic and Thermal Foundations of the Working of Devices with a Stationary and Fluidized Bed [in Russian], Khimiya, Leningrad (1968).
[5] J. E. Eninger, ?Capillary flow through heat pipe wicks,? AIAA Pap., No. 661, 10 (1975).
[6] A. V. Kurpatenkov, V. M. Polyaev, and A. L. Sintsov, ?The heat exchange coefficient in a packet of screens. The geometric model of a screen. Porosity, specific surface,? Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 11, 45 (1983).
[7] J. C. Armour and J. N. Cannon, ?Fluid flow through woven screens,? AIChE J.,14, 415 (1968). · doi:10.1002/aic.690140315
[8] M. Ludewig, S. Omori, and G. L. Rao, ?Pressure drop woven screens? under uniform and nonuniform flow conditions,? NASA CR 120 559, 143 (1974).
[9] F. T. Dodge and R. E. Ricker, ?Flow of liquid jets through closely woven screens,? J. Spacecr. Rockets,15, 213 (1978). · doi:10.2514/3.28007
[10] E. Kady, ?Study of thermodyhamic vent and screen buffle integration for orbital storage transfer of liquid hydrogen,? NASA CR 134 748, 11 (1974).
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