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xv CHAPTER 1: GENERAL INTRODUCTION 1 Significance and Problem Definition 1 Objectives 2 Thesis Organization 2 CHAPTER 2: ANALYTICAL MODEL OF MIXING EFFICIENCY OF TURBULENCE IN A STRONGLY STRATIFIED FLOW 3 Abstract 3 Introduction 3 Theory 6 Results 10 One Active Scalar 10 Two Active Scalars 14 Discussion 16 Validity of Assumptions 16 Comparison with Experiments and Simulations 17 Application to Limnology and Oceanography 19 Conclusions 21 CHAPTER 3: NONLINEAR INTERACTIONS IN STRATIFIED TURBULENCE 22 Introduction 22 Initial Investigations 27 Addition of Nonlinear Term to RDT for Stratified Flow 32 Conclusions 49

Analytical evaluation of mixing efficiencies and nonlinear interactions of turbulence in a stratified flow