The laminar hole pressure for Newtonian fluids

The laminar hole pressure for Newtonian fluids For flows with wall turbulence the hole pressure, P H , was shown empirically by Franklin and Wallace (J Fluid Mech, 42, 33–48, 1970) to depend solely on R +, the Reynolds number constructed from the friction velocity and the hole diameter b. Here this dependence is extended to the laminar regime by numerical simulation of a Newtonian fluid flowing in a plane channel (gap H) with a deep tap hole on one wall. Calculated hole pressures are in good agreement with experimental values, and for two hole sizes are well represented by: (P H −P HS )/τ w = √(k 2 + c 2 R + 2 )−k, where the Stokes hole pressure P HS /τ w = s (b/H)3, k, c, s are fitted constants, and τ w is the wall shear stress. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Experiments in Fluids Springer Journals

The laminar hole pressure for Newtonian fluids

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer-Verlag
Subject
Engineering; Engineering Fluid Dynamics; Fluid- and Aerodynamics; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0723-4864
eISSN
1432-1114
D.O.I.
10.1007/s00348-008-0468-6
Publisher site
See Article on Publisher Site

Abstract

For flows with wall turbulence the hole pressure, P H , was shown empirically by Franklin and Wallace (J Fluid Mech, 42, 33–48, 1970) to depend solely on R +, the Reynolds number constructed from the friction velocity and the hole diameter b. Here this dependence is extended to the laminar regime by numerical simulation of a Newtonian fluid flowing in a plane channel (gap H) with a deep tap hole on one wall. Calculated hole pressures are in good agreement with experimental values, and for two hole sizes are well represented by: (P H −P HS )/τ w = √(k 2 + c 2 R + 2 )−k, where the Stokes hole pressure P HS /τ w = s (b/H)3, k, c, s are fitted constants, and τ w is the wall shear stress.

Journal

Experiments in FluidsSpringer Journals

Published: Feb 14, 2008

References

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