Hydrodynamic stability theory, equations for turbulent flows, free shear flows and boundary layers, homogeneous and isotropic turbulence, overview of turbulent combustion, reaction kinetics, energy equation, Favre averaging, Pdfs, premixed and nonpremixed flame modeling, and recent developments. Restricted to College of Engineering and Applied Science Graduate Students or BS/MS Mechanical Engineering Concurrent Degree students. Prerequisites: Restricted to College of Engineering and Applied Science Graduate Students or BS/MS Mechanical Engineering or Concurrent Degree students.