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# Roshko number

In fluid mechanics, the Roshko number is a dimensionless number describing oscillating flow mechanisms. It is given as:

$\mathit{Ro} = {St} {Re} = {f L^{2}\over \nu}$

where Ro is the dimensionless Roshko number, St is the dimensionless Strouhal number, Re is the Reynolds number, f is the frequency of vortex shedding, L is the characteristic length (for example hydraulic diameter) and ν is the kinematic viscosity of the fluid.

## References

• Olim, A. M., Riethmuller, M. L., and Gameiro da Silva, M. C., 2002, "Flowfield characterization in the wake of a low-velocity heated sphere anemometer", Exp. Fluids, 32, pp. 645-651.
• Ormieres, D., and Provansal, M., 1999, “Transition to turbulence in the wake of a sphere”, Phys. Rev. Lett., 83, pp. 80-83.