### 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) |
---|---|

Article number | 034101 |

Journal | Physical Review Fluids |

Volume | 4 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1 2019 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Physical Review Fluids*,

*4*(3), [034101]. https://doi.org/10.1103/PhysRevFluids.4.034101

}

*Physical Review Fluids*, vol. 4, no. 3, 034101. https://doi.org/10.1103/PhysRevFluids.4.034101

**Velocity probability distribution scaling in wall-bounded flows at high Reynolds numbers.** / Ge, M. W.; Yang, Xiang; Marusic, Ivan.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Velocity probability distribution scaling in wall-bounded flows at high Reynolds numbers

AU - Ge, M. W.

AU - Yang, Xiang

AU - Marusic, Ivan

PY - 2019/3/1

Y1 - 2019/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85064005406&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064005406&partnerID=8YFLogxK

U2 - 10.1103/PhysRevFluids.4.034101

DO - 10.1103/PhysRevFluids.4.034101

M3 - Article

AN - SCOPUS:85064005406

VL - 4

JO - Physical Review Fluids

JF - Physical Review Fluids

SN - 2469-990X

IS - 3

M1 - 034101

ER -