Scaling of acceleration in locally isotropic turbulence

• Published in: Journal of fluid mechanics Vol. 452; pp. 361 - 370
• Main Author: HILL, REGINALD J.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.02.2002
• Subjects: Acceleration; Exact sciences and technology; Fluid dynamics; Fluid mechanics; Fundamental areas of phenomenology (including applications); Isotropic turbulence; homogeneous turbulence; Physics; Reynolds number; Turbulence; Turbulent flows, convection, and heat transfer; Viscosity; Reynolds number; Scaling laws; Structure functions; Isotropic turbulence; Acceleration; Variance; Pressure gradients
• ISSN: 0022-1120; 1469-7645
• DOI: 10.1017/S0022112001007091

The variances of the fluid-particle acceleration and of the pressure-gradient and viscous force are given. The scaling parameters for these variances are velocity statistics measureable with a single-wire anemometer. For both high and low Reynolds numbers, asymptotic scaling formulas are given; these agree quantitatively with DNS data. Thus, the scaling can be presumed known for all Reynolds numbers. Fluid-particle acceleration variance does not obey K41 scaling at any Reynolds number; this is consistent with recent experimental data. The non-dimensional pressure-gradient variance named λT/λP is shown to be obsolete.