Turbulence

according to Eq anemometer assumed assumption average Batchelor boundary layer boundary-layer flow condition consider const constant convection coordinate Corrsin curve decrease determined dissipation distance downstream dynamic equation eddy viscosity eddy-diffusion effect electric resistance energy spectrum Eulerian experimental expression flow field fluctuations Fluid Mech fluid particles follows Fourier Fourier transform Gaussian gradient grid heat Hence homogeneous turbulence hot wire increasing inertial subrange integral scale interaction isotropic turbulence k₁ kinetic energy Lagrangian mean velocity measurements molecular diffusion momentum obtained plane Prandtl pressure quantity relation respect Reynolds number scalar shear stress shown shows similar solution temperature tensor term theory transfer transport turbulence energy turbulence velocity turbulent flow turbulent motion u₁ u₂ velocity component velocity correlation velocity distribution viscous vorticity wake flow wall region wavenumber range x₁ yields zero ди др