Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2014-2pp.121-125

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V.N. Bakulin, B.V. Boshenyatov, and V.V. Popov, "A model of the gas flow in hollow fibres with permeable walls," J. Appl. Math. Mech. 78 (2), 121-125 (2014)
Year 2014 Volume 78 Issue 2 Pages 121-125
Title A model of the gas flow in hollow fibres with permeable walls
Author(s) V.N. Bakulin (Moscow, Russia, vbak@yandex.ru)
B.V. Boshenyatov (Moscow, Russia, bosbosh@mail.ru)
V.V. Popov (Moscow, Russia, jpopov@inbox.ru)
Abstract A model of the isothermal flow of a viscous ideal gas in long tubes (hollow fibres) with permeable walls is constructed. Analytical relations are derived for the relative flow rate of the gas through the permeable walls of tubes made of porous and non-porous materials. It is established that, for a specified pressure drop, there is an optimum length of the tube when the gas flow rate through its walls reaches a maximum value. A formula is derived for calculating the characteristic fibre length for which the gas flow rate through the tube walls becomes predominant in the overall balance of the gas flow rate entering the input section of the fibre. A single universal dimensionless relation, describing the balance of the gas flow rates for fibres having different permeability mechanisms, is proposed.
Received 01 June 2013
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