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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 Association of Physics Teachers

Autor: Armengol Masferrer, Jordi
Calbó Angrill, Josep
Pujol i Sagaró, Toni
Roura Grabulosa, Pere
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
Accés al document: http://hdl.handle.net/2072/219210
Llenguatge: eng
Editor: American Association of Physics Teachers
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: Recercat

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