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Experiments in Fluids

, Volume 45, Issue 1, pp 123–129 | Cite as

The laminar hole pressure for Newtonian fluids

  • Vasileios Symeonidis
  • Bruce Caswell
Research Article
  • 93 Downloads

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 w s (b/H)3, k, c, s are fitted constants, and τ w is the wall shear stress.

Keywords

Reynolds Number Wall Pressure Stoke Flow Hole Size Disturbance Pressure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was supported by NSF (grant number CTS-0326702). The authors gratefully acknowledge the advice and guidance of George Em Karniadakis during the course of this work.

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.Division of EngineeringBrown UniversityProvidenceUSA

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