Fundamentals of Fluid Mechanics Syllabus  
Course Objectives, Policies, and Grading
08.01.19
Course Calendar — Weekly Schedule
1.  Ideal gas law, collision and attractive forces in fluids. Surface tension, pressure in droplets, capillary rise.
2.  Moments and forces in fluids at rest. Conservation of mass in integral form.
3.  Conservation of mass in differential form. Stresses in a fluid. Momentum equation in differential form.
4.  Momentum equation in integral form. Accelerating control volume.
5.  Derivation of stagnation pressure and importance in fluid dynamics. Pelton turbine.
6.  Effect of gravity on stagnation pressure. Dimensional analysis.
7.  Use of dimensional analysis to analyze capillary rise, prototypes in wind tunnels, drag force on sphere.
8.  Review problems (if time permits) and midterm exam.
9.  Rotational flow and vorticity. Irrotational vs rotational vortices. Circulation. Velocity potential and stream function for irrotational incompressible flow. Bernoulli's equation in potential flow.
10.  Fundamental solutions to the potential equation: uniform flow, potential vortex, source and sink, doublet.
11.  Potential flow around a cylinder, ovals, and wedges. Force computation. Method of images.
12.  Airfoil flow. Kutta condition. Source and vortex sheets. Linear airfoil theory. Computational potential flow.
13.  Potential equation for irrotational compressible flow. Linearized theory for supersonic flow.
14.  Pressure coefficient in irrotational supersonic flows. Lift and drag of arbitrary shapes in supersonic flows using potential theory.
15.  Review problems (if time permits) and final exam.
Course Website
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08.26.19
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