Statistics of relative velocity for particles settling under gravity in a turbulent flow.

@article{Bhatnagar2020StatisticsOR,
  title={Statistics of relative velocity for particles settling under gravity in a turbulent flow.},
  author={Akshay Bhatnagar},
  journal={Physical review. E},
  year={2020},
  volume={101 3-1},
  pages={
          033102
        }
}
We study the joint probability distributions of separation R and radial component of the relative velocity V_{R} of particles settling under gravity in a turbulent flow. We also obtain the moments of these distributions and analyze their anisotropy using spherical harmonics. We find that the qualitative nature of the joint distributions remains the same as no-gravity case. Distributions of V_{R} for fixed values of R show a power-law dependence on V_{R} for a range of V_{R}; the exponent of the… 

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