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Physics of Turbulence. Instructor: Prof. Mahendra k. Verma, Department of Physics, IIT Kanpur.
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Description
Turbulence is everywhere in the interiors and atmospheres of planets and stars, galaxies, biological systems including human body, engineering flows, etc. In this course, we will cover fundamental aspects of turbulence: Kolmogorov's theory of turbulence in spectral and real space; Two-dimensional turbulence; Energy transfers; Enstrophy and kinetic helicity cascades; more complex applications, such as passive scalar, Turbulent thermal convection, and Magnetohydrodynamic turbulence. (from nptel.ac.in)
Course content
- Lecture 01 – The Turbulence Problem Unlimited
- Lecture 02 – Basic Hydrodynamics: Governing Equations Unlimited
- Lecture 03 – Basic Hydrodynamics: Vorticity Unlimited
- Lecture 04 – Basic Hydrodynamics: Conservation Laws Unlimited
- Lecture 05 – Basic Hydrodynamics: Example Problems Unlimited
- Lecture 06 – Fourier Space Representation: Definitions Unlimited
- Lecture 07 – Fourier Space Representation: Flow Equations Unlimited
- Lecture 08 – Fourier Space Representation: Kinetic Energy Unlimited
- Lecture 09 – Fourier Space Representation: Vorticity, Kinetic Helicity, and Enstrophy Unlimited
- Lecture 10 – Fourier Space Representation: Examples Unlimited
- Lecture 11 – Fourier Space Representation: Examples (cont.) Unlimited
- Lecture 12 – Craya-Herring Basis: Definitions Unlimited
- Lecture 13 – Craya-Herring Basis: Equations of Motion for a Triad Unlimited
- Lecture 14 – Craya-Herring Basis: Equations of Motion for an Anticlockwise Triad Unlimited
- Lecture 15 – Thermal Instability Unlimited
- Lecture 16 – Thermal Instabilities (cont.) Unlimited
- Lecture 17 – Rotating Convection: Instability and Patterns Unlimited
- Lecture 18 – Magnetoconvection: Instability and Patterns Unlimited
- Lecture 19 – Nonlinear Saturation: Lorenz Equation Unlimited
- Lecture 20 – Patterns, Chaos, and Turbulence Unlimited
- Lecture 21 – Energy Transfers: Mode-to-Mode Energy Transfers Unlimited
- Lecture 22 – Energy Transfers: Mode-to-Mode Energy Transfers (cont.) Unlimited
- Lecture 23 – Energy Transfers: Examples Unlimited
- Lecture 24 – Energy Transfers: Spectral Energy Flux and Shell-to-Shell Energy Transfer Unlimited
- Lecture 25 – Energy Transfers: Fluid Simulations using Spectral Method Unlimited
- Lecture 26 – Energy Transfers: Fluid Simulations – Dealiasing Unlimited
- Lecture 27 – Kolmogorov’s Theory: Energy Spectrum and Flux Unlimited
- Lecture 28 – Kolmogorov’s Theory: Insights and its Verification with Direct Numerical Simulation Unlimited
- Lecture 29 – Kolmogorov’s Theory: Spectrum and Flux in Inertial-dissipation Range Unlimited
- Lecture 30 – Kolmogorov’s Four-Fifth Law: Isotropic Tensor and Correlations Unlimited
- Lecture 31 – Kolmogorov’s Four-Fifth Law: Derivation Unlimited
- Lecture 32 – Kolmogorov’s Four-Fifth Law: Derivation (Final Steps) Unlimited
- Lecture 33 – Energy Spectrum and Flux Unlimited
- Lecture 34 – Two-dimensional Turbulence Unlimited
- Lecture 35 – Helical Turbulence Unlimited
- Lecture 36 – Flow with a Scalar Unlimited
- Lecture 37 – Passive Scalar Turbulence Unlimited
- Lecture 38 – Stably Stratified Turbulence Unlimited
- Lecture 39 – Turbulent Thermal Convection Unlimited
- Lecture 40 – Flow with a Vector Unlimited
- Lecture 41 – MHD (MagnetoHydroDynamic) Turbulence: Formalism Unlimited
- Lecture 42 – MHD Turbulence: Energy Transfers Unlimited
- Lecture 43 – MHD Turbulence: Turbulence Models Unlimited
- Lecture 44 – MHD Turbulence: Dynamo Unlimited
Instructor
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