Instabilities of Flows: With and Without Heat Transfer and Chemical Reaction (CISM International Centre for Mechanical Sciences, 517) 3709101263, 9783709101261

The articles in the book treat flow instability and transition starting with classical material dealt with in an innovat

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Table of contents :
Title Page
Copyright Page
Prefaces
Table of Contents
Chapter 1 GENERAL INTRODUCTION ON INSTABILITY AND TRANSITION
1.1 Introduction
1.2 What is Instability?
1.3 Temporal and Spatial Instability
1.4 Elements of Wave Mechanics
1.5 Some Instability Mechanisms
1.5.1 Dynamic Stability of Still Atmosphere
1.5.2 Kelvin - Helmholtz Instability
Chapter 2 INSTABILITY AND TRANSITION IN FLUID MECHANICS
2.1 Introduction
2.2 Parallel Flow Approximation and Inviscid Instability Theorems
2.2.1 Inviscid Instability Mechanism
2.3 Viscous Instability of Parallel Flows
2.3.1 Eigenvalue Formulation for Instability of Parallel Flows
2.3.2 Temporal and Spatial Ampli.cation of Disturbances
2.3.2.1 Temporal Ampli.cation Theory
2.3.2.2 Spatial Ampli.cation Theory
2.3.2.3 Relationship Between Temporal and Spatial Theories
2.4 Properties of Orr-Sommerfeld Equation and Boundary Conditions
2.4.1 Compound Matrix Method
2.5 Instability Analysis from Solution of Orr-Sommerfeld Equation
2.5.1 Local and Total Amplication of Disturbances
2.5.2 Effect of Mean Flow Pressure Gradient
2.5.3 Transition Prediction Based on Stability Calculation
2.5.4 Effects of Free Stream Turbulence
2.6 Receptivity Analysis of Shear Layer
2.6.1 Receptivity Mechanism by Linearized Approach: Connection to Stability Theory
2.6.1.1 A Brief Review of Laplace-Fourier Transform
2.6.1.2 Fourier and Laplace Transform
2.6.1.2(a) The Inversion Formula for Laplace Transform
2.6.1.3 A Short Tutorial on Fourier Integral and Transforms
2.6.1.4 Some Useful Fourier Transforms
2.6.2 Receptivity to Wall Excitation and Impulse Response
2.6.2.1 Near-Field Response Created by Localized Excitation
2.6.2.1a Outer Solution
2.6.2.1b Inner Solution
2.6.3 Vibrating Ribbon at The Wall
2.6.4 Receptivity to Free Stream Excitation
2.6.5 General Excitation and Upstream Propagating Mode
2.6.6 Low frequency freestream excitation and the Klebano. mode
2.7 Direct Simulation of Receptivity to Freestream Excitation:
2.7.1 Coupling Between Wall- and Freestream-Modes
2.7.2 Receptivity to Train of Convected Vortices in Freestream
2.7.3 Further Explanation of Freestream Periodic Excitation:
Chapter 3 BYPASS TRANSITION
3.1 Introduction
3.2 Transition via Growing Waves and Bypass Transition:
3.3 Visualization Study of Vortex-Induced Instability as Bypass Transition
3.4 Computations of Vortex-Induced Instability as A Precursor to Bypass Transition
3.5 The Instability Mechanism in Vortex-Induced Instability
3.6 Instability on The Attachment-Line of Swept Wings
Chapter 4 SPATIO-TEMPORAL INSTABILITY AND TRANSITION
4.1 Introduction
4.2 Transient Energy Growth
4.3 Energy-Based Receptivity Analysis
Chapter 5 LANDAU EQUATION AND MULTIPLE HOPF-BIFURCATION
5.1 Landau’s Equation and Its Application for Flow Past a Cylinder
5.2 Instability of Flow Past a Cylinder
5.3 Nonlinear Instability and Amplitude Equation
5.4 Numerical Simulation of Flow Past a Circular Cylinder
Chapter 6 STABILITY OF MIXED CONVECTION BOUNDARY LAYER
6.1 Introduction
6.2 The Governing Equations
6.3 Mean Flow Equations
6.4 Stability Equations and Numerical Method
6.4.1 Compound Matrix Method For The 6th Order System
6.4.2 Initial Conditions for The Induced System
6.4.3 Dispersion Relation
6.4.4 Eigen-function for The Mixed Convection Problem
6.5 Results and Discussion
6.5.1 Eigen-spectrum For Mixed Convection Problem
6.5.2 Neutral Curves For Mixed Convection Problem
6.5.3 Eigenfunctions of The Mixed Convection Problem
6.6 Conclusions and Outlook
Chapter 7 COMBUSTION AND CFD FOR COMBUSTION
7.1 Introduction
7.2 Combustion and Energy Production
7.3 Combustion and Optimization
7.4 Combustion and Instabilities
7.5 Turbulent Combustion
7.6 DNS, LES and RANS for Combustion
Chapter 8 WAVES IN REACTING FLOWS
8.1 Physical Waves In Reacting Flows
8.2 Numerical Waves in High-Fidelity Simulations of Reacting Flows
Chapter 9 LARGE EDDY SIMULATION OF REAL COMBUSTORS
9.1 Introduction
9.2 Case 1: Small Scale Gas Turbine Burner
Configuration and Boundary Conditions
Nonreacting Flow
Average Fields
Structure of Unsteady Swirling Nonreacting Flows
Coexistence of Acoustic Modes and Precessing Vortex Core
Stable Reacting Flow
9.3 Case 2: Self-Excited Staged Burner
Configuration
Stable Flow
Controlling Oscillations Through Boundary Conditions
Chapter 10 TWO-PHASE FLOW COMBUSTION
10.1 Equations
Carrier Phase
Dispersed Phase
Phase Exchange Source Terms
The Random Uncorrelated Motion (RUM)
LES Approach
Numerical Approach
10.2 Reacting Flow in An Aircraft Combustion Chamber
Configuration
Steady Spray Flame
Ignition Sequence
Chapter 11 THE GROWTH OF ROUNDING ERRORS IN LES
11.1 Introduction
11.2 Effects of The Number of Processors on LES
11.3 Sensitivity of LES in Laminar and Turbulent Flows
A Fully Deterministic LES?
Influence of Turbulence
Influence of Initial Conditions
Effects of Graph Ordering
Effects of Time Step
Effects of Machine Precision
11.4 Conclusions
Bibliography
Recommend Papers

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~ SpringerWienNewYork

CISM COURSES AND LECTURES

Series Editors: The Rectors Giulio Maier - Milan Franz G. Rammerstorfer - Wien Jean Salençon - Palaiseau

The Secretary General Bernhard Schrefler - Padua

Executive Editor Paolo Serafini - Udine

The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.

INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 517

INSTABILITIES OF FLOWS: WITH AND WITHOUT HEAT TRANSFER AND CHEMICAL REACTION

EDITED BY TAPAN K. SENGUPTA HIGH PERFORMANCE COMPUTING LABORATORY, DEPT. OF AEROSPACE ENGG. IIT KANPUR 208 016, INDIA

THIERRY POINSOT CNRS/INST. DE MECANIQUE DES FLUIDES DE TOULOUSE, TOULOUSE, FRANCE

This volume contains 133 illustrations

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2010 by CISM, Udine Printed in Italy SPIN 12822072

All contributions have been typeset by the authors.

ISBN 978-3-7091-0126-1 SpringerWienNewYork

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