致谢
NOMENCLATURE
LIST OF TABLES
LIST OF FIGURES
CHAPTER 1 INTRODUCTION
1.1 Background
1.2 Objective and significance of the object
CHAPTER 2 LITERATURE REVIEW
2.1 Literature review on Rayleigh-Bénard convection in Newtonian liquids in the absence of time-periodic body force
2.2 Literature review on Rayleigh-Bénard convection in hybrid nanoliquids in the presence of time-periodic body force
2.3 Main research content
2.4 Elementary knowledge
2.4.1 Basic concept
2.4.2 Boussinesq approximation
2.4.3 Governing equations of Rayleigh-Bénard convection
2.5 Summary
CHAPTER 3 REGULAR AND CHAOTIC RAYLEIGH-B(E)NARD CONVECTIVE MOTIONS
3.1 Mathematical formulation
3.2 Linear stability analysis
3.3 Weakly nonlinear stability analysis
3.3.1 Derivation of penta-modal Lorenz model
3.3.2 Derivation of coupled Ginzburg-Landau model
3.4 Dynamic behavior and estimation of heat transport
3.4.1 Dynamic behavior
3.4.2 Estimation of heat transport
3.5 Results and discussion
3.5.1 Onset of regular convective motion
3.5.2 Onset of chaotic motion
3.5.3 Results on heat transport
3.6 Summary
CHAPTER 4 EFFECT OF THREE TYPES OF TIME-PERIODIC BODY FORCE ON RARLRIGH-B(E)NARD CONVECTION
4.1 Mathematic formulation
4.2 Linear stability analysis
4.2.1 Derivation of amplitude equations
4.2.2 Expression of critical stationary Rayleigh number and its correction
4.3 Weakly nonlinear stability analysis
4.3.1 Derivation of Lorenz model
4.3.2 Derivation of Ginzburg-Landau model
4.4 Estimation of heat transport
4.5 Results and discussion
4.6 Summary
CONCLUSIONS
参考文献
AUTHOR’S PUBLICATIONS
声明
哈尔滨工业大学;
