Another Fluid Mechanics problem

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SUMMARY

The discussion centers on the concept of a material region in fluid mechanics, specifically addressing the relationship between surface velocity (W) and fluid velocity (V). It is established that for a material region to consistently contain the same fluid, W must equal V. The conversation suggests that defining W in a less restrictive manner may not maintain the integrity of the material region. The reference to control volume further emphasizes the importance of these definitions in fluid dynamics.

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I'm having problem understanding this one, can clarify and help answer?

A material region is defined as one where the surface velocity W is everywhere equal to the fluid velocity V. Such a region always contains the same fluid. Is it possible to define W in a less restrictive way and still have a region always containing the same material?

Thanks
 
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If the material region (sounds like 'control volume') is defined as that volume of fluid bounded by the surface and the material is fixed, then it stands that the surface velocity must be the same as the fluid velocity.

See this problem. - www.colorado.edu/ASEN/asen5227/hwk8extra.pdf[/URL]

[PLAIN]http://www.colorado.edu/ASEN/asen5227/ - notes
 
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