Viscous flow through straight pore channels

A. R. Kacimov, I. R. Kayumov

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Steady laminar viscous 2-D flow through straight cylindrical tubes is studied. By comparison of the film-type Averyanov flow in an annular domain and the common Poiseuille flow in a circular tube, it is deduced why at high suctions sands are less conductive than clays. Flows in noncircular tubes with cusps modeling contact zones of solid particles are considered. Using conformal mappings, the Poisson equation in the physical plane is reduced to the Laplace equation in an auxiliary disk. The Dirichlet problem in this disk is solved by the Poisson integral formula. The value of maximal velocity at the center of the tube and the total flow rate (conductivity) are calculated.

Original languageEnglish
Pages (from-to)199-208
Number of pages10
JournalJournal of Porous Media
Volume5
Issue number3
Publication statusPublished - 2002

Fingerprint

Conformal mapping
Laplace equation
Poisson equation
viscous flow
Viscous flow
Viscous Flow
Straight
Tube
Clay
Sand
Flow rate
tubes
porosity
Dirichlet problem
circular tubes
conformal mapping
suction
Annular Domains
cusps
laminar flow

ASJC Scopus subject areas

  • Mechanical Engineering
  • Materials Science(all)
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes
  • Catalysis

Cite this

Viscous flow through straight pore channels. / Kacimov, A. R.; Kayumov, I. R.

In: Journal of Porous Media, Vol. 5, No. 3, 2002, p. 199-208.

Research output: Contribution to journalArticle

Kacimov, AR & Kayumov, IR 2002, 'Viscous flow through straight pore channels', Journal of Porous Media, vol. 5, no. 3, pp. 199-208.
Kacimov, A. R. ; Kayumov, I. R. / Viscous flow through straight pore channels. In: Journal of Porous Media. 2002 ; Vol. 5, No. 3. pp. 199-208.
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