Scaling Laws in the Axisymmetric Wake of a Sphere
An axisymmetric turbulent wake is often assumed to be self-similar when the streamwise location x is sufficiently far from the wake generator. Thus, profiles of the single-point statistics have the local wake width, \(\delta (x)\), and the centerline streamwise mean defect velocity, \(U_0 (x)\), as the characteristic length and velocity scales. Under self-similarity, the evolution of the scaling parameters, \(U_0\) and \(\delta \), is described by power laws: \(U_0/U_\infty \sim x^m\) and \(\delta /D \sim x^n\) where D is a characteristic length scale of the body.
We are grateful to acknowledge the support of ONR Grant No. N00014-15-1-2718. Computational resources were provided by the Department of Defense High Performance Computing Modernization Program.
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