Intermittency Equation for Transitional Flow

Preface
Contents
1 Introduction
	1.1 Transition Model
	1.2 Two-Equation Transition Model
	1.3 One-Equation Transition Model
	1.4 Zero-Equation or Algebraic Transition Model
	1.5 Transition Mechanisms in Transition Models
		1.5.1 Sensing Parameter for Transition-Onset Detection
		1.5.2 Mechanism for Transition-Process Regulation
	1.6 Outline of This Book
	References
2 Derivation of Intermittency Equation
	2.1 Basic Definition
	2.2 Decomposition of Variables
	2.3 Conditions for Derivation
	2.4 Derivation of Equation for γoverlineui uj
		2.4.1 Rate of Change
		2.4.2 Convection
		2.4.3 Pressure Gradient
		2.4.4 Diffusion
		2.4.5 Equation for γoverlineui uj
	2.5 Derivation of Equation for γ
	References
3 Modeling Concept and Formulation
	3.1 Closure Problem of Intermittency Equation
	3.2 Lower-Bound and Upper-Bound Limits of εγ
	3.3 Variation of εγ in Transition Zone
	3.4 Onset Location and Length of Transition
	3.5 Exchange of Source-Sink Roles
	3.6 Functional Form of fONSET
	3.7 Functional Form of fLENGTH
	3.8 Functional Forms of γeff and γsep
	3.9 Control of Base Turbulence Model
	3.10 A Complete Set of Intermittency Equation
	3.11 Boundary Conditions of Intermittency Equation
	References
4 Model Constant Calibration
	4.1 Experimental and DNS Data for Calibration
	4.2 Calibration for Bypass and Natural Transition
		4.2.1 Calibration of Ccrit
		4.2.2 Calibration of B
	4.3 Calibration of Separation-Induced Transition
		4.3.1 Calibration of Ccrit,sep
		4.3.2 Calibration of Bsep
		4.3.3 Calibration of CRµ
		4.3.4 Calibration of Csep
	4.4 Mechanism of γsep
	4.5 Summary
	References
5 Model Validation
	5.1 Effect of Free-Stream Turbulence
	5.2 Effect of Pressure Gradient
	5.3 Summary
	References
6 Application Test Case
	6.1 V103 Compressor Cascade
	6.2 S809 Wind Turbine Airfoil
	6.3 Summary
	References