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COURSE PLAN
Week Topics
1 Basic concepts, definitions, continuum assumption, viscosity, some examples of viscous flows. Flow kinematics, material derivative. Classification of fluid motion. Vorticity.
2 Review of fundamental equations of viscous flows: Continuity Equation, Navier-Stokes equations. Energy Equation.
3 Mathematical characteristics of the basic equations. Dimensionless form of governing equations. Dimensionless parameters in viscous flows. Vorticity transport equation. Vorticity-Stream function formulation
4 Low-Reynolds number Flows (Creeping Flow): Stokes' solution past a sphere
5 Exact solution of viscous flow problems: Couette Flow, Poiseulle flow
6 Flow between concentric rotating cylinders, Stokes' first and second problems
7 Plane stagnation point flow, flow over a porous wall, flow near a rotating disk.
8 Laminar boundary layers, Origin of similarity transformation
9 Blasius solution. Falkner-Skan solutions
10 Momentum Integral formulation. Approximate solutions
11 Boundary layer separation, Laminar jets, free shear layers
12 Introduction to flow instability
13 Introduction to Turbulence
14 Turbulent boundary layers |