Explore the intricacies of turbulence energy spectrum in this 52-minute lecture by Jayanta K. Bhattacharjee from the International Centre for Theoretical Sciences. Delve into homogeneous isotropic turbulence, the universal range, and stochastic models. Examine the challenges of scale, eddy viscosity, and perturbation theory. Investigate the stably stratified fluid with Bolgiano-Obukhov scaling, energy balance, and the Bolgiano limit. Learn about Kolmogorov's argument, scalar models, and transfer integrals. Gain insights into the crossover phenomenon and infrared problem solutions in turbulence studies.
Turbulence Energy Spectrum by Jayanta K. Bhattacharjee
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Turbulence Energy Spectrum Jayanta K. Bhattacharyae
LENCE ENERGY
TURBULENCE ENERGY SPECTRUM
HOMOGENEOUS ISOTROPIC TURBULENCE
The Universal Range
A STOCHASTIC MODEL
The problem with scales
A Different Point of View
Eddy viscosity
Perturbation theory niceties
Perturbation theory parameter
The infrared problem is not real
Infrared cure
turbulence
THE STABLY STRATIFIED FLUID- BOLGIANO ,OBUKHOV SCALING
THE ENERGY BALANCE
THE BOLGIANO LIMIT
Kolmogorov Argument
A Scalar Model for Bolgiano limit
THE SCALAR MODEL WAVE NUMBER FREQUENCY SPACE
Transfer Integrals and scaling laws
The Crossover
Taught by
International Centre for Theoretical Sciences
