Related Experiment Video
Updated: May 10, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Perturbative evaluation of universal numbers in homogeneous shear turbulence
1Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781 039, India. kishore_dutta@iitg.ac.in
Abstract:
We employ Leslie's perturbation scheme coupled with renormalization group calculations to obtain the anisotropic velocity correlation tensor in the inertial range of homogeneous shear turbulence. Hence we evaluate two universal numbers associated with the anisotropic part of the equal-time correlation tensor in the leading order of the perturbative scheme. Our theoretical results for these universal numbers are found to be in fairly good agreement with experimental values as well as estimates coming from direct numerical simulations.
Related Concept Videos
Dimensionless Groups in Fluid Mechanics
Singularity Functions for Shear
Thin-Walled Hollow Shafts
The Buckingham Pi Theorem
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first column of the Routh...
Turbulent Flow: Problem Solving
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures enhance...

