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Tangential friction on the wall of a container with a spherical charge and fluid motion through the charge

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Abstract

Viscous tangential stress on the interior wall of a container with a spherical charge, that develops in filtration of an incompressible fluid through the charge is investigated. Based on an analysis of an experimental dependence of the dimensionless stress on the Reynolds number, two critical Reynolds numbers are determined: the first number corresponds to the beginning of an abrupt drop in the stress, and the second number, to its reaching a regime that is self-similar in velocity. Comparison with the theory permits interpretation of the effects of pseudoturbulence and turbulence, respectively.

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Abbreviations

x :

longitudinal coordinate

y :

transverse coordinate

P :

pressure

ρ:

density

μ, μeff :

coefficient and effective coefficient of dynamic viscosity of liquid

d :

sphere diameter

D :

tube diameter

U :

filtering rate

U m :

rate of filtering away from a wall

Re:

Reynolds number

ht* :

viscous tangential stress on wall

U′ (0):

dimensionless stress

k :

permeability

ε:

porosity of charge

a1, a2, q :

constants

«AxAy», «u′v′» :

pseudoturbulent and turbulent components of transverse momentum transfer

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Authors and Affiliations

  1. Institute of Radiation Physicochemical Problems of the Academy of Sciences of Belarus, Minsk

    V. V. Sorokin

Authors
  1. V. V. Sorokin
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 70, No. 1, pp. 50–54, January–February, 1997.

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Sorokin, V.V. Tangential friction on the wall of a container with a spherical charge and fluid motion through the charge. J Eng Phys Thermophys 70, 51–55 (1997). https://doi.org/10.1007/s10891-997-0010-3

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  • DOI: https://doi.org/10.1007/s10891-997-0010-3

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