According to Kolmogorov’s hypothesis, at sufficiently high wave
numbers, the statistical structure of turbulence has a universal form; the
scaling parameters depend only upon H, the dissipation rate of TKE, and
upon Q, the kinematic viscosity. This hypothesis implies that at high wave
numbers the turbulence is locally isotropic. The one-dimensional velocity
spectrum in the inertia-viscous subrange that is taken by a sensor moving in
the x direction is as follows (Stewart and Grant, 1962):
Chapter 3: NEAR-SURFACE TURBULENCE
167
Figure 3-10. Theoretical spectrum of turbulence and its fit to the experimental spectrum using
the Stewart and Grant (1962) techniques. Dashed line is the Nasmyth turbulence spectrum, bold
line is the experimental velocity spectrum, and thin lines indicate 95% confidence limits. The
segment marked by a rectangle is shown in more detail. Adapted from Soloviev and Lukas
(2003) with permission from Elsevier.
numbers, the statistical structure of turbulence has a universal form; the
scaling parameters depend only upon H, the dissipation rate of TKE, and
upon Q, the kinematic viscosity. This hypothesis implies that at high wave
numbers the turbulence is locally isotropic. The one-dimensional velocity
spectrum in the inertia-viscous subrange that is taken by a sensor moving in
the x direction is as follows (Stewart and Grant, 1962):
Chapter 3: NEAR-SURFACE TURBULENCE
167
Figure 3-10. Theoretical spectrum of turbulence and its fit to the experimental spectrum using
the Stewart and Grant (1962) techniques. Dashed line is the Nasmyth turbulence spectrum, bold
line is the experimental velocity spectrum, and thin lines indicate 95% confidence limits. The
segment marked by a rectangle is shown in more detail. Adapted from Soloviev and Lukas
(2003) with permission from Elsevier.