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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 3, Pages 48–55
(Mi pmtf1363)
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Filtration model of longitudinal flow in a finned cylindrical channel
E. V. Mosina, I. V. Chernyshev Volgograd State University, Volgograd, 400062, Russia
Abstract:
The problem of laminar flow of a viscous incompressible fluid in a finned circular tube is considered. A solution is obtained in the form of series in eigenfunctions of the Laplace operator; the coefficients in the series are found numerically. For the same problem, a simpler filtration approximation is proposed in which the system of fins is modeled by a radially inhomogeneous porous layer, and fluid flow in it is described by the Brinkman equation. A formula for the effective permeability of the porous medium is obtained by varying the number and height of fins. The formula provides an accurate evaluation of the mean flow velocity and viscous drag coefficient in finned channels.
Keywords:
finned channel, filtration approximation, Brinkman equation, effective permeability, drag coefficient.
Received: 25.04.2011 Accepted: 06.10.2011
Citation:
E. V. Mosina, I. V. Chernyshev, “Filtration model of longitudinal flow in a finned cylindrical channel”, Prikl. Mekh. Tekh. Fiz., 53:3 (2012), 48–55; J. Appl. Mech. Tech. Phys., 53:3 (2012), 349–355
Linking options:
https://www.mathnet.ru/eng/pmtf1363 https://www.mathnet.ru/eng/pmtf/v53/i3/p48
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Abstract page: | 24 | Full-text PDF : | 5 |
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