On the self-constraint mechanism of the cross-stream secondary flow in a streamwise-rotating channel

2020
The mechanism underlying the magnitude-reverse phenomenon of the mean spanwise velocity with respect to an increasing rotation number in a streamwise-rotating channel flow is investigated through a budget balance analysis of Reynolds shear stress ⟨u2′u3′⟩. It is found that ⟨u2′u3′⟩ imposes a negative feedback to itself through the production term, which prevents its magnitude from increasing monotonically with an increasing rotation number. This behavior of ⟨u2′u3′⟩ further leads to the magnitude reverse in the spanwise wall shear stress and mean spanwise velocity in the near-wall region.
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