Conference Proceedings

Evolution of the Turbulent Far Wake of a Sphere

GM Skidmore, J Philip, JP Monty

Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018 | Australasian Fluid Mechanics Society | Published : 2018


The classic turbulent axisymmetric wake derivation for the spreading of wake half-width, δ, and maximum mean velocity, ūmax decay comes from arguments of a high local Reynolds number, Re, and thus negligible viscosity. If instead one assumes the local Reynolds number is small, then at some distance sufficiently far downstream the turbulent production term in the Reynolds shear stress equation will decay and a new similarity solution will arise: as shown by [2, 4]. This solution features the scaling of δ ∼ (x/d)1/2 and ūmax ∼ (x/d)−1. In other words, the turbulent wake is scaling itself at rates that match the theoretical laminar wake, yet with a local Reynolds number high enough for the turb..

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