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Gordon December 17, 2002 02:39

developed turbulent flow ??
 
Hi I have a tube (nozzle) of 9.6 mm dia all along 200 mm in length.

At one edge the liquid is entering at 3 m/sec (velocity inlet, equal all along the radius).

Can I expect fully developed turbulent flow when it exit at the other end of the pipe (nozzle)??

Thanks in advance.

Gordon

Smith December 17, 2002 04:11

Re: developed turbulent flow ??
 
You neglect to say what 'liquid' you are using. assuming water at 20 degC, the Reynolds number for this flow field will be 28.7. Far too low for turbulent flow to develop. Viscous forces are dominating and will damp out any turbulent motion

Gordon December 17, 2002 04:42

Re: developed turbulent flow ??
 
I used d*v*ro/mu and got 28662, how did u calculate reynoulds number?

For case of water, with that 200 mm pipe (nozzle) is the flow developed ? I mean, should I expect any difference (specially turbulence parameters) at the exit if the pipe is 500mm?

Gordon

Smith December 17, 2002 09:24

Re: developed turbulent flow ??
 
Whoops! I used the wrong viscosity (kinematic instead of dynamic) OK, using the right numbers, yes you get Re=2.8e4 which puts you in the transitional zone for a a hydraulically smooth pipe.Which means you need to predict the point of transition - which is a bit tricky

wei December 17, 2002 14:39

Re: developed turbulent flow ??
 
The hydrodynamic entrance length has a relation of L/D=1.359*Re^0.25. Then L is about 170mm. So, after that length, the turbulent flow is fully developed.

Gordon December 17, 2002 16:32

Re: developed turbulent flow ??
 
Hi Wei, Is that applicable for a capillary flow as well?

Gordon

chidu December 18, 2002 09:23

Re: developed turbulent flow ??
 
i guess it would not be applicable for capillary flows! but 9.6 mm diameter would still be in a low Knudsen number regime by far.

Chidu...


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