Sunday, January 4, 2009

Insainly low Reynolds Number

The video below is an example of Stokes Flow. I happened to come across it and found that it was mislabeled as reversed laminar flow. This is not correct.

Whether the flow is laminar, turbulent or Stokes is often decided by the flows Reynolds Number. This number is dimensionless and is the measure of the ratio of inertial forces to viscous forces. Reynolds numbers less than 500 are generally considered to be laminar flow and a Reynolds number less than 1 is considered to by Stokes.

At very low Reynolds number, the inertial terms (nonlinear terms) become insignificant and the equation of motion is completely linear (pressure and viscous forces balance with inertial terms negligible), meaning that time can be reversed and you will get right back were you started.

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