Reynolds Model Law

When the predominant force is viscous force, Reynolds number should be same for model and prototype.
∴ (Re)m = (Re)p
or Reynolds Model Law
or Reynolds Model Law
or Reynolds Model Law
Time scale ratio, Reynolds Model Law
Acceleration scale ratio, ar = Vr/Tr
Discharge scale ratio,
Qr = ρrArV= ρrLr2Vr
Force scale ratio Fr = mr × ar
where quantities with subscript r represent the corresponding scale ratios.

Areas where Reynolds model law can be applied are,

  • Motions of air planes
  • Flow of incompressible fluids in closed pipes
  • Motion of Submarines completely under water, etc.
The document Reynolds Model Law is a part of the Civil Engineering (CE) Course Irrigation Engineering.
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