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Introduction

Supersonic flow over airfoils is a complex phenomenon that has been studied extensively in the field of aerospace engineering. Understanding the behavior of airflow over airfoils at supersonic speeds is crucial for the design and optimization of high-speed aircraft. Computational fluid dynamics (CFD) has emerged as a powerful tool for analyzing and predicting the behavior of supersonic flow over airfoils, offering a cost-effective and efficient alternative to experimental testing.

This thesis presents a computational study of supersonic flow over airfoils, with a focus on the analysis of the aerodynamic performance of different airfoil shapes at high-speed conditions. The research aims to enhance our understanding of the factors influencing the aerodynamic characteristics of airfoils in supersonic flow, leading to the development of improved design methodologies for high-speed aircraft.

Chapter 1: Introduction
1.1 Introduction
1.2 Background of study
1.3 Problem Statement
1.4 Objective of study
1.5 Limitation of study
1.6 Scope of study
1.7 Significance of study
1.8 Structure of the Thesis
1.9 Definition of Terms

Chapter 2: Literature Review
2.1 Overview of Supersonic Flow
2.2 Airfoil Aerodynamics at High Speeds
2.3 Computational Fluid Dynamics in Aerospace Engineering
2.4 Previous Studies on Supersonic Flow over Airfoils
2.5 Impact of Airfoil Shape on Aerodynamic Performance
2.6 Design Optimization Techniques for Supersonic Airfoils
2.7 Transition and Shock Waves in Supersonic Flow
2.8 Boundary Layer Separation in High-Speed Flows
2.9 Simulation Methods for Supersonic Flow
2.10 Challenges and Future Directions in Supersonic Airfoil Research

Chapter 3: System Design and Methodology
3.1 Selection of Computational Tools
3.2 Geometry Modeling of Airfoils
3.3 Mesh Generation
3.4 Flow Solver Setup
3.5 Boundary Conditions Definition
3.6 Convergence Criteria
3.7 Validation of Computational Model
3.8 Sensitivity Analysis
3.9 Parameter Study
3.10 Numerical Experiments

Chapter 4: System Implementation
4.1 Implementation of Computational Model
4.2 Simulation Setup
4.3 Data Collection and Analysis
4.4 Post-Processing Techniques
4.5 Visualization of Results
4.6 Comparison with Experimental Data
4.7 Sensitivity Analysis Results
4.8 Discussion of Findings
4.9 Limitations of the Computational Model
4.10 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Research Findings
5.2 Contributions to the Field
5.3 Implications for Aircraft Design
5.4 Future Research Directions
5.5 Conclusion

Thesis Overview

This thesis presents a comprehensive computational study of supersonic flow over airfoils, focusing on the aerodynamic performance of different airfoil shapes at high-speed conditions. The research aims to enhance our understanding of the factors influencing the aerodynamic characteristics of airfoils in supersonic flow, leading to the development of improved design methodologies for high-speed aircraft.

Chapter 1 provides an introduction to the research topic, outlining the background of the study, problem statement, research objectives, limitations, scope, significance, structure of the thesis, and definition of key terms.

Chapter 2 reviews the relevant literature on supersonic flow, airfoil aerodynamics, computational fluid dynamics, previous studies on supersonic airfoils, impact of airfoil shape, design optimization techniques, transition and shock waves, boundary layer separation, simulation methods, and challenges in supersonic airfoil research.

Chapter 3 details the system design and methodology, including the selection of computational tools, geometry modeling, mesh generation, flow solver setup, boundary conditions definition, convergence criteria, validation, sensitivity analysis, and numerical experiments.

Chapter 4 describes the system implementation, including the computational model implementation, simulation setup, data collection and analysis, post-processing techniques, visualization of results, comparison with experimental data, sensitivity analysis, discussion of findings, limitations, and recommendations for future research.

Chapter 5 presents the conclusion and summary of the research findings, contributions to the field, implications for aircraft design, future research directions, and overall conclusion of the thesis.

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