Boundary layers momentum deficit

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Momentum deficit refers to the reduced momentum within a boundary layer compared to the upstream flow, primarily due to shear stresses at the wall. This concept indicates that turbulent eddies in the boundary layer transfer this low-momentum fluid away from the surface. As a result, the boundary layer is replenished with higher momentum fluid from above. The discussion emphasizes that the term "deficit" highlights the relative lack of momentum in the boundary layer rather than an absolute shortage. Understanding this transfer process is crucial for comprehending turbulence dynamics in boundary layers.
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Lumley, turbulence textbook on boundary layers, introduction pages:

"The turbulent eddies transfer momentum deficit away from the surface".

Can anyone explain what this means, specifically what is momentum deficit? In my mind, the word "deficit" means a shortage of something, so how can one write that a shortage of something is transferred somewhere?

This lecture also has the phrase "momentum deficit" but doesn't explain it:
http://www.bakker.org/dartmouth06/engs150/11-bl.pdf
 
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Ok, well my interpretation of it is that quite simply, the momentum inside a boundary layer is called "momentum deficit", that is, relative to the upstream flow, there is less momentum in the boundary layer due to shear stresses at the wall. So the author, I believe, simply refers to all momentum in the boundary layer as "momentum deficit". In turbulent boundary layers, we then have significant transfer of momentum in all directions and I think this is what is implied by the author in the above quote.
 
The author means that the low momentum fluid is transported away from the surface and replaced by fluid with more momentum that came from above the surface.
 
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