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| Autori principali: | , , , |
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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2504.05060 |
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| _version_ | 1866908305060790272 |
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| author | Zeng, Yong-Ying Liao, Zi-Ju Li, Jun-Yi Su, Wei-Dong |
| author_facet | Zeng, Yong-Ying Liao, Zi-Ju Li, Jun-Yi Su, Wei-Dong |
| contents | Turbulence is a fundamental flow phenomenon, typically anisotropic at large scales and approximately isotropic at small scales. The classical Kolmogorov scaling laws (2/3, -5/3 and 4/5) have been well-established for turbulence without small-scale body forcing, describing second-order velocity structure functions, energy spectra, and third-order velocity structure functions in an intermediate small-scale range. However, their validity boundary remains unclear. Here, we identify new 1 and -2 scaling laws (replacing 2/3 and -5/3 laws) alongside the unchanged 4/5 law in the core region of boundary-driven turbulence, where energy is injected solely through viscous friction at moving boundaries. Local isotropy is recovered after high-pass filtering. Notably, odd-order velocity structure functions with and without absolute value exhibit distinct scaling exponents. A characteristic speed in the inertial range, derived from the constant ratio of third- to second-order structure functions, quantifies the time-averaged projectile speed at the bulk interface. Based on energy dissipation rate and the characteristic speed, a phenomenological framework for structure functions is developed together with a model for probability distributions of velocity increment at distinct small-scales. The universal scaling laws formulated can produce the full set of scaling exponents for low- and high-order velocity structure functions, including both the odd-orders' with and without absolute value, which are validated by direct numerical simulations and experimental datasets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05060 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal scaling laws of boundary-driven turbulence Zeng, Yong-Ying Liao, Zi-Ju Li, Jun-Yi Su, Wei-Dong Fluid Dynamics Turbulence is a fundamental flow phenomenon, typically anisotropic at large scales and approximately isotropic at small scales. The classical Kolmogorov scaling laws (2/3, -5/3 and 4/5) have been well-established for turbulence without small-scale body forcing, describing second-order velocity structure functions, energy spectra, and third-order velocity structure functions in an intermediate small-scale range. However, their validity boundary remains unclear. Here, we identify new 1 and -2 scaling laws (replacing 2/3 and -5/3 laws) alongside the unchanged 4/5 law in the core region of boundary-driven turbulence, where energy is injected solely through viscous friction at moving boundaries. Local isotropy is recovered after high-pass filtering. Notably, odd-order velocity structure functions with and without absolute value exhibit distinct scaling exponents. A characteristic speed in the inertial range, derived from the constant ratio of third- to second-order structure functions, quantifies the time-averaged projectile speed at the bulk interface. Based on energy dissipation rate and the characteristic speed, a phenomenological framework for structure functions is developed together with a model for probability distributions of velocity increment at distinct small-scales. The universal scaling laws formulated can produce the full set of scaling exponents for low- and high-order velocity structure functions, including both the odd-orders' with and without absolute value, which are validated by direct numerical simulations and experimental datasets. |
| title | Universal scaling laws of boundary-driven turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2504.05060 |