Derive the pde for the dimensionless mean enstrophy (leftlangle e^{2} ightangle) defined by (3.16) in homogeneous turbulence

Derive the pde for the dimensionless mean enstrophy \(\left\langle e^{2}\rightangle\) defined by (3.16) in homogeneous turbulence for an incompressible Newtonian fluid with constant viscosity \(\tilde{u}>0\), i.e. \(0

 Eq (3.16)

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