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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

Autor: Armengol Masferrer, Jordi
Calbó Angrill, Josep
Pujol i Sagaró, Toni
Roura Grabulosa, Pere
Data: 2008
Resum: 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
Accés al document: http://hdl.handle.net/10256/8487
Llenguatge: eng
Editor: American Association of Physics Teachers
Col·lecció: Versió preprint del document publicat a: http://dx.doi.org/10.1119/1.2897290
Articles publicats (D-F)
És part de: © American Journal of Physics, 2008, vol. 76, núm. 8, p. 730-737
Drets: Tots els drets reservats
Matèria: Dinàmica de fluids
Fluid dynamics
Bernoulli, Funcions de
Bernoulli’s functions
Títol: Bernoulli correction to viscous losses: Radial flow between two parallel discs
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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