# Instability and Transition of Fluid Flows

IIT Kanpur, , Prof. K. Sengupta

Updated On 02 Feb, 19

IIT Kanpur, , Prof. K. Sengupta

Updated On 02 Feb, 19

Introduction to Instability and Transition - Computing Transitional and Turbulent Flows - Fluid Dynamical Equations - Some Equilibrium Solutions of the Basic Equation - Boundary Layer Theory - Control Volume Analysis of Boundary Layers - Numerical Solution of the Thin Shear Layer (TSL) Equation - Laminar Mixing Layer - Plane Laminar Jet - Issues of Computing Space-Time Dependent Flows - Wave Interaction: Group Velocity and Energy Flux - Issues of SpaceTime Scale Resolution of Flows - Temporal Scales in Turbulent Flows - Computing Time-Averaged and Unsteady Flows - Computing Methods for Unsteady Flows: Dispersion Relation Preserving Methods - DRP Schemes: Parameter Ranges for Creating q-Waves

Instability and Transition in Flows - Introduction - Parallel Flow Approximation and Inviscid Instability Theorems - Viscous Instability of Parallel Flows - Properties of the OrrSommerfeld Equation and Boundary Conditions - Instability Analysis from the Solution of the OrrSommerfeld Equation - Receptivity Analysis of the Shear Layer - Receptivity by Linearized Approach: Connection to Stability Theory - Receptivity to Wall Excitation and Impulse Response - Vibrating Ribbon at the Wall - Receptivity to Free Stream Excitation - General Excitation and Upstream Propagating Modes - Low Frequency Free Stream Excitation and the Klebanoff Mode - Direct Simulation of Receptivity to Free Stream Excitation - Nonparallel and Nonlinear Effects on Instability and Receptivity - Bypass Transition: Theory, Computations, and Experiments - Spatio-Temporal Wave Front and Transition - Nonlinear Effects: Multiple Hopf Bifurcations and Proper Orthogonal Decomposition - Stability and Transition of Mixed Convection Flows - Instabilities of Three-Dimensional Flows - Analysis and Design of Natural Laminar Flow Airfoils

- On-demand Videos
- Login & Track your progress
- Full Lifetime acesses

4.1 ( 11 )

Instability and Transition of Fluid Flows by Prof. Tapan K. Sengupta, Department of Aerospace Engineering, IIT Kanpur. For more details on NPTEL visit httpnptel.iitm.ac.in

Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Dembe

March 29, 2019

Great course. Thank you very much.