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Bernoulli correction to viscous losses: Radial flow between two parallel discs

For a massless fluid (density = 0), the steady flow along a duct is governed exclusively by viscous losses. In this paper, we show that the velocity profile obtained in this limit can be used to calculate the pressure drop up to the first order in density. This method has been applied to the particular case of a duct, defined by two plane-parallel discs. For this case, the first-order approximation results in a simple analytical solution which has been favorably checked against numerical simulations. Finally, an experiment has been carried out with water flowing between the discs. The experimental results show good agreement with the approximate solution

© American Journal of Physics, 2008, vol. 76, núm. 8, p. 730-737

American Association of Physics Teachers

Author: Armengol Masferrer, Jordi
Calbó Angrill, Josep
Pujol i Sagaró, Toni
Roura Grabulosa, Pere
Date: 2008
Abstract: For a massless fluid (density = 0), the steady flow along a duct is governed exclusively by viscous losses. In this paper, we show that the velocity profile obtained in this limit can be used to calculate the pressure drop up to the first order in density. This method has been applied to the particular case of a duct, defined by two plane-parallel discs. For this case, the first-order approximation results in a simple analytical solution which has been favorably checked against numerical simulations. Finally, an experiment has been carried out with water flowing between the discs. The experimental results show good agreement with the approximate solution
Format: application/pdf
ISSN: 0002-9505
Document access: http://hdl.handle.net/10256/8487
Language: eng
Publisher: American Association of Physics Teachers
Collection: Versió preprint del document publicat a: http://dx.doi.org/10.1119/1.2897290
Articles publicats (D-F)
Is part of: © American Journal of Physics, 2008, vol. 76, núm. 8, p. 730-737
Rights: Tots els drets reservats
Subject: Dinàmica de fluids
Fluid dynamics
Bernoulli, Funcions de
Bernoulli’s functions
Title: Bernoulli correction to viscous losses: Radial flow between two parallel discs
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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