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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. (Midterm –1)
8 Eid ul Adha (Kurban Bayramı) 8 Nov 2011( 3rd day of Eid)
9 Laminar boundary layers, Origin of similarity transformation
10 Blasius solution. Falkner-Skan solutions
11 Momentum Integral formulation. Approximate solutions
12 Boundary layer separation, Laminar jets, free shear layers
13 Introduction to flow instability (Midterm-2)
14 Introduction to Turbulence
15 Turbulent boundary layers |