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Confusion about non-dimensionalization of NS eqns |
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November 17, 2010, 08:40 |
Confusion about non-dimensionalization of NS eqns
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#1 |
Senior Member
TWB
Join Date: Mar 2009
Posts: 402
Rep Power: 19 |
Hi,
It seems that depending on how the NS equations are non-dimensionalized, I can end up with 2 different eqns. (*) denotes non-dimension If I use 1. u(*)=u/(u infinity) 2. x(*)=x/c, c=chord length 3. p(*)=p/(rho*(u infinity)^2) and either t(*)=t*(u infinity)/c or t(*)=t*f where f=frequency I get 2 different forms of the final eqns ending with either Re or St and Re. where St=f*c/(u infinity) and Re=(u infinity)*c/v So how will this 2 eqns influence my simulation results? If I use different St, it will not appear in the 1st eqn because there is no St in the equation. Or it does not matter? The results will be different but as long as I'm comparing against the same non-dimensionalization, it is fine. Thanks! |
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