Fundamental Studies of Shock-Driven Hydrodynamic Instabilities

Description

This book illustrates the latest progress on the hydrodynamic instabilities induced by a shock wave, particularly RM (Richtmyer–Meshkov) instability. The hydrodynamic instabilities play crucial roles in various industrial and scientific fields, such as inertial confinement fusion, supersonic combustion, supernova explosion, etc. This book experimentally and theoretically explores the shock-driven instabilities of complex gas-gas and gas-liquid interfaces. The main difficulty in performing an experimental study on RM instability, especially in a shock-tube circumstance, lies in creating an idealized initial interface because the RM instability is extremely sensitive to the initial condition. This book introduces new experimental methods to generate shape-controllable two-dimensional gaseous interfaces, thickness-controllable gas layers, and water droplets embedded with a vapour bubble in the shock-tube experiments. It covers the latest experiments and theories on the shock-driven hydrodynamic instabilities of multi-mode, multi-layer, and multi-phase interfaces. It explores the effects of the mode-competition, interface-coupling, and phase-transition on interface evolution, respectively. This book establishes a universal nonlinear theory to predict the RM instability of a shocked multi-mode interface based on spectrum analysis. This book quantifies the effects of interface-coupling and reverberating waves on the hydrodynamic instabilities of a shocked multi-layer interface. This book provides the experimental studies of the interaction of a shock wave and a multi-phase droplet and proposes a modified Rayleigh-Plesset equation to predict the vapour bubble collapse inside a droplet. Supervisor’s Foreword Abstract Parts of this paper have been published in the following journal articles Acknowledgements Contents Abbreviations Physical Constants at 1 atm Pressure and 293.15 K List of Figures List of Tables 1 Introduction 1.1 Research Background 1.2 Research Progress 1.2.1 Study of Shock-Driven Single-Mode Interface Evolution 1.2.2 Study of Shock-Driven Multi-mode Interface Evolution 1.2.3 Study of Shock-Driven Three-Dimensional Interface Evolution 1.2.4 Study of Rippled-Shock-Driven Unperturbed Interface Evolution 1.2.5 Study of Shock-Driven Multi-layer Interface Evolution 1.2.6 Study of Shock-Driven Multi-phase Interface Evolution 1.3 Research Contents References 2 Shock-Driven Multi-mode Interface Evolution 2.1 Shock-Driven Single-Mode Interface Evolution 2.1.1 Experimental Method 2.1.2 Results and Discussion 2.2 Shock-Driven Quasi-single-mode Interface Evolution 2.2.1 Experimental Method 2.2.2 Qualitative Analysis 2.2.3 Quantitative Analysis 2.2.4 Theoretical Analysis 2.3 Shock-Driven Multi-mode Interface Evolution 2.3.1 Experimental Method 2.3.2 Qualitative Analysis 2.3.3 Linear and Nonlinear Theories 2.3.4 The Mixing Width Growth 2.4 Shock-Driven Three-Dimensional Interface Evolution 2.4.1 Experimental Method 2.4.2 Initial 3DMS Interface Configuration 2.4.3 Experimental Observation 2.4.4 Linear and Nonlinear Amplitude Growths 2.5 Conclusions References 3 Shock-Driven Multi-layer Interface Evolution 3.1 Shock-Driven Heavy Gas Layer Evolution 3.1.1 Experimental Method 3.1.2 One-Dimensional Experimental Results and Analysis 3.1.3 Two-Dimensional Experimental Results and Analysis 3.2 Shock-Driven Light Gas Layer Evolution 3.2.1 Experimental Method 3.2.2 One-Dimensional Experimental Results and Analysis 3.2.3 Two-Dimensional Experimental Results and Analysis 3.2.4 Comparison Between Light Gas Layer and Heavy Gas Layer 3.3 Shock-Driven Dual Layer Evolution 3.3.1 Linear Stability Analysis 3.3.2 Experimental Method 3.3.3 One-Dimensional Motions of Waves and Interfaces 3.3.4 Two-Dimensional Hydrodynamic Instabilities 3.4 Conclusions References 4 Shock-Driven Multi-phase Interface Evolution 4.1 Shock-Driven Multi-phase Droplet Interaction 4.1.1 Experimental Method 4.1.2 Qualitative Analysis 4.1.3 Droplet Deformation 4.1.4 Bubble Evolution 4.2 Conclusions References 5 Conclusions and Outlook 5.1 Conclusions 5.2 Innovations 5.3 Outlook References