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Instability and Transition of Fluid Flows. Instructor: Prof. Tapan K. Sengupta, Department of Aerospace Engineering, IIT Kanpur. This course looks at fluid flow transition - the instabilities that lead the flow to a turbulent state.

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September 23, 2023

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September 23, 2023

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Description

Instability and Transition of Fluid Flows. Instructor: Prof. Tapan K. Sengupta, Department of Aerospace Engineering, IIT Kanpur. This course looks at fluid flow transition - the instabilities that lead the flow to a turbulent state.

Topics covered in the lectures include: introduction to instability and transition - dynamic stability of still atmosphere, Kelvin-Helmholtz instability; instability and transition in flows - inviscid instability theorems, viscous instability of parallel flows, properties of the Orr-Sommerfeld equation and boundary conditions, instability analysis from the solution of the Orr-Sommerfeld equation, receptivity Analysis of the shear layer, direct simulation of receptivity to free stream excitation; bypass transition; spatio-temporal instability and transition; nonlinear stability - Landau equation and multiple Hopf bifurcation and proper orthogonal decomposition of flow past a cylinder; turbulences - dynamics of turbulence, kinetic energy of fluctuations, Kolmogorov's scaling theory and turbulent length scales. (from nptel.ac.in)

Course Curriculum

  • Lecture 01 – Introduction to Transition and Turbulence Unlimited
  • Lecture 02 – Historical Introduction, Sensitive Dependence of Instability: Effect of Roughness Unlimited
  • Lecture 03 – Why We Study Instability? Dynamic Stability of Still Atmosphere Unlimited
  • Lecture 04 – Kelvin-Helmholtz Instability Unlimited
  • Lecture 05 – Kelvin-Helmholtz Instability (cont.) Unlimited
  • Lecture 06 – Parallel Flow Approximation and Inviscid Instability Theorems Unlimited
  • Lecture 07 – Inviscid Instability Theorems, Viscous Instability of Parallel Flows Unlimited
  • Lecture 08 – Viscous Instability of Parallel Flows (cont.) Unlimited
  • Lecture 09 – Properties of the Orr-Sommerfeld Equation and Boundary Conditions Unlimited
  • Lecture 10 – Compound Matrix Method (cont.) Unlimited
  • Lecture 11 – Instability Analysis from the Solution of the Orr-Sommerfeld Equation Unlimited
  • Lecture 12 – Instability Analysis from the Solution of the Orr-Sommerfeld Equation (cont.) Unlimited
  • Lecture 13 – Receptivity Analysis of the Shear Layer: Fourier and Laplace Transforms Unlimited
  • Lecture 14 – Fourier/Laplace Transforms (cont.) Unlimited
  • Lecture 15 – Receptivity to Wall Excitation and Impulse Response Unlimited
  • Lecture 16 – Receptivity to Wall Excitation and Impulse Response (cont.), Vibrating Ribbon at the Wall Unlimited
  • Lecture 17 – Vibrating Ribbon at the Wall (cont.), General Excitation and Upstream … Unlimited
  • Lecture 18 – Low Frequency Free Stream Excitation and the Klebanoff Mode Unlimited
  • Lecture 19 – Direct Simulation of Receptivity to Free Stream Excitation Unlimited
  • Lecture 20 – Direct Simulation of Receptivity to Free Stream Excitation (cont.) Unlimited
  • Lecture 21 – Bypass Transition Unlimited
  • Lecture 22 – Bypass Transition (cont.) Unlimited
  • Lecture 23 – Bypass Transition (cont.) Unlimited
  • Lecture 24 – Bypass Transition (cont.) Unlimited
  • Lecture 25 – Instability at the Attachment Line of Swept Wings (cont.) Unlimited
  • Lecture 26 – Spatio-Temporal Instability and Transition Unlimited
  • Lecture 27 – Spatio-Temporal Instability and Transition (cont.) Unlimited
  • Lecture 28 – Spatio-Temporal Instability and Transition (cont.) Unlimited
  • Lecture 29 – Nonlinear Stability: Landau Equation and Multiple Hopf Bifurcation Unlimited
  • Lecture 30 – Landau Equation and Multiple Hopf Bifurcation Unlimited
  • Lecture 31 – Landau Equation and Multiple Hopf Bifurcation (cont.) Unlimited
  • Lecture 32 – Proper Orthogonal Decomposition of Flow Past a Cylinder Unlimited
  • Lecture 33 – Dynamical System Approach to Flow Instability Unlimited
  • Lecture 34 – Turbulence Unlimited
  • Lecture 35 – Dynamics of Turbulence Unlimited
  • Lecture 36 – Dynamics of Turbulence (cont.), Kinetic Energy of Fluctuations Unlimited
  • Lecture 37 – Equilibrium Turbulence and Time Scales in Turbulence (cont.) Unlimited
  • Lecture 38 – Spectra, Kolmogorov’s Scaling Theory and Turbulent Length Scales (cont.) Unlimited
  • Lecture 39 – Kolmogorov’s Scaling Theory (cont.), 2D Turbulence Unlimited

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