The scaling of the turbulent/non-turbulent interface at high Reynolds numbers
The scaling of the turbulent/non-turbulent interface at high Reynolds numbers
复制标题
DOI：
10.1017/jfm.2018.143
复制
发表时间：
2018-03
影响因子：
3.7
通讯作者：
Tiago S. Silva;Marco Zecchetto;C. B. da Silva
中科院分区：
文献类型：
--
作者：
Tiago S. Silva;Marco Zecchetto;C. B. da Silva
The scaling of the turbulent/non-turbulent interface (TNTI) at high Reynolds numbers is investigated by using direct numerical simulations (DNS) of temporal turbulent planar jets (PJET) and shear free turbulence (SFT), with Reynolds numbers in the range $142\leqslant Re_{\unicode[STIX]{x1D706}}\leqslant 400$ . For $Re_{\unicode[STIX]{x1D706}}\gtrsim 200$ the thickness of the TNTI ( $\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D714}}$ ), like that of its two sublayers – the viscous superlayer (VSL, $\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D708}}$ ) and the turbulent sublayer (TSL, $\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D70E}}$ ) – all scale with the Kolmogorov micro-scale $\unicode[STIX]{x1D702}$ , while the particular scaling constant depends on the sublayer. Specifically, for $Re_{\unicode[STIX]{x1D706}}\gtrsim 200$ while the VSL is always of the order of $\unicode[STIX]{x1D702}$ , with $4\leqslant \langle \unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D708}}\rangle /\unicode[STIX]{x1D702}\leqslant 5$ , the TSL and the TNTI are typically equal to $10\unicode[STIX]{x1D702}$ , with $10.4\leqslant \langle \unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D70E}}\rangle /\unicode[STIX]{x1D702}\leqslant 12.5$ , and $15.4\leqslant \langle \unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D714}}\rangle /\unicode[STIX]{x1D702}\leqslant 16.8$ , respectively.
The scaling of the turbulent/non-turbulent interface (TNTI) at high Reynolds numbers is investigated by using direct numerical simulations (DNS) of temporal turbulent planar jets (PJET) and shear free turbulence (SFT), with Reynolds numbers in the range $142\leqslant Re_{\unicode[STIX]{x1D706}}\leqslant 400$ . For $Re_{\unicode[STIX]{x1D706}}\gtrsim 200$ the thickness of the TNTI ( $\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D714}}$ ), like that of its two sublayers – the viscous superlayer (VSL, $\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D708}}$ ) and the turbulent sublayer (TSL, $\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D70E}}$ ) – all scale with the Kolmogorov micro-scale $\unicode[STIX]{x1D702}$ , while the particular scaling constant depends on the sublayer. Specifically, for $Re_{\unicode[STIX]{x1D706}}\gtrsim 200$ while the VSL is always of the order of $\unicode[STIX]{x1D702}$ , with $4\leqslant \langle \unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D708}}\rangle /\unicode[STIX]{x1D702}\leqslant 5$ , the TSL and the TNTI are typically equal to $10\unicode[STIX]{x1D702}$ , with $10.4\leqslant \langle \unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D70E}}\rangle /\unicode[STIX]{x1D702}\leqslant 12.5$ , and $15.4\leqslant \langle \unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D714}}\rangle /\unicode[STIX]{x1D702}\leqslant 16.8$ , respectively.