Instability and Transition of Fluid Flows

Overview

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