Advanced Fluid Mechanics

Course content

Introduction to Cartesian Tensors (refresher); definition, transformations, co and contra variant tensors, Kroenecker delta and antisymmetric tensor , invariants of 2. order tensors, jacobian, dilatation. Basic Notions of Fluid Mechanics; Reynolds transport theorm (re-visited), Mathematical Basis of Inviscid Flow; Gauss and Stokes Theorems as applied to Fluid flow problems and consequences,Helmholtz equations , connectivity, uniqueness theorems for ideal fluids Depending on the choice of the studying group one of the follwing paths is followed: 1: Mathematical basis of Panel Methods 2: Physics and Calculation of Turbulent Shear Flows. Some turbulence models are also used for illustration.