In non-dimensionalizing the N-S equations, are the choices of the characteristic variable important? I am currently reading the Stokes approximation to the N-S equation and find two versions of Stokes equations. They have used different scaling in their derivation and I find no clue in understanding the importance of scaling and am wondering if someone here can help me out.(adsbygoogle = window.adsbygoogle || []).push({});

Please kindly read the figure attached.

While the version 1 has characterise the time by U and L, version2 uses the kinemtic viscosity to scale the time. Are there any difference between these two approaches? I don't know what kind of difference will be produced and what effect would different choice of scales bring out. Could anyone explain clearly?

And are the two versions of Stokes equation the same? If not, what are the differences?

I find no clue in non-dimensionalization....

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Non-dimensionalizing the N-S equations

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for dimensionalizing equations |
---|

Filling and emptying a barrel -- Bernoulli |

Jacobian matrix and Navier Stokes equation |

Airy Stress Func. Polynomial order to satisfy the biharmonic equation |

What is the equation of this stress-strain curve? |

Automotive Equation of motion for a driving wheel |

**Physics Forums | Science Articles, Homework Help, Discussion**