## Abstract

Probability density functions (PDFs) give well-rounded statistical descriptions of stochastic quantities and therefore are fundamental to turbulence. Wall-bounded turbulent flows are of particular interest given their prevalence in a vast array of applications, but for these flows the scaling of velocity probability distribution is still far from being well founded. By exploiting the self-similarity in wall-bounded turbulent flows and modeling velocity fluctuations as results of self-repeating processes, we present a theoretical argument, supported by empirical evidence, for a universal velocity PDF scaling in high-Reynolds-number wall turbulence.

Original language | English (US) |
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Article number | 034101 |

Journal | Physical Review Fluids |

Volume | 4 |

Issue number | 3 |

DOIs | |

State | Published - Mar 2019 |

## All Science Journal Classification (ASJC) codes

- Computational Mechanics
- Modeling and Simulation
- Fluid Flow and Transfer Processes