Another Fluid Mechanics problem

AI Thread Summary
The discussion revolves around the definition of a material region in fluid mechanics, where surface velocity W equals fluid velocity V. It questions whether W can be defined less restrictively while still ensuring the region contains the same fluid. Clarification is sought on the relationship between material regions and control volumes, emphasizing that if the material is fixed, surface and fluid velocities must match. The problem is linked to a specific homework assignment for further reference. Understanding these concepts is crucial for grasping fluid dynamics principles.
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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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