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how can we know whether the flow of liquid is steady or not from its velocity?

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- Thread starter varunika
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how can we know whether the flow of liquid is steady or not from its velocity?

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Check if dv/dt is zero?

Zz.

Zz.

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- #4

256bits

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Classification for types of flow:

http://www.efm.leeds.ac.uk/CIVE/CIVE1400/PDF/Notes/section3.pdf

http://www.efm.leeds.ac.uk/CIVE/CIVE1400/PDF/Notes/section3.pdf

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Qloq said:But how do you know it is laminar?

You can tell in a few ways. Probably the most canonical is to measure the time-varying velocity in the boundary layer at the point in question and look at the power spectrum. For a fully-developed, turbulent flow, there should be a very distinctive power spectrum for most flow classes. You can also determine this more qualitatively by comparing with the laminar regions of the same flow, e.g. if you had a sudden spike in heating rate or skin friction as you move downstream or the boundary layer abruptly rapidly grows in thickness, that can mean the flow has transitioned. Understanding some of the physics of a given flow helps immensely here, though, as sometimes you can be tricked by that approach.

Qluq said:In the real world v denotes a sort of average flow velocity, ignoring any turbulence.

This isn't true. In the real world, the [itex]\vec{v}[/itex] in the Navier-Stokes is the exact velocity at a given point in space and time and very well may be representative of a time-varying quantity. Now, if you make certain assumptions or models which involve averaging, then yes, it may well represent an average.

Qluq said:I think you should also check the Reynolds number. That will tell you something about the presence of turbulence.

This is also not true, or at the very least highly misleading. For pipe flow and pipe flow only, there is a fairly strong correlation between the diameter Reynolds number and the development of turbulence. That said, having a given Reynolds number in a pipe only means that turbulence will develop, not that it has already. Otherwise, for any other geometry, there is no hard and fast rule relating the Reynolds number to the onset of turbulence. Finding such a rule would be a major discovery and possibly even the sort of things that could garner Nobel contention, though who really knows.

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