NUMERICAL AND ANALYTIAL STUDIES OF LAMINAR TO TURBULENCE TRANSITION

IT IS PROPOSED HERE TO STUDY NONLINEAR DEVELOPMENT OF GORTLER AND CROSSFLOW VORTICES AND INVESTIGATE VARIOUS WAVE-INTERACTION MECHANISMS OPERATIVE IN TWO AND THREE-DIMENSIONAL BOUNDARY LAYERS. THE PROPOSED WORK WILL NUMERICALLY SIMULATE TRANSITION IN A THREEDIMENSIONAL BOUNDARY LAYER. THE OBJECTIVE OF THE RESEARCH IS TO FURTHER THE UNDERSTANDING OF LAMINAR/TURBULENT TRANSITION MECHANISMS AND GORTLER/TS AND CROSSFLOW/TS INTERACTION. WE WILL INVESTIGATE NUMERICALLY AND THEORETICALLY WHAT IMPACT THESE WAVE-INTERACTIONS MIGHT HAVE ON PRESENT DAY TRANSITION PREDICTION METHODOLOGY BASED UPON LINEAR STABILITY THEORY AND WILL SUGGEST IMPROVEMENTS IN THE PREDICTION TECHNIQUES. TRANSITION PREDICTION IS OF IMMENSE PRACTICAL SIGNIFICANCE AND UNDERSTANDING OF THE TRANSITION PROCESS IS ALSO OF RELEVANCE IN FURTHERING THE KNOWLEDGE OF TURBULENCE. TO ACHIEVE OUR GOAL, WE USE STATE OF THE ART SPECTRAL TECHNIQUES FOR NUMERICAL SIMULATION AND EVALUATE THEORIES BASED UPON TRIPLE-DECK APPROACH, METHOD OF MULTIPLE-SCALES AND FLOQUET ANALYSIS.