DAY Date
Topics discussed




1 Tue, Jan 17, 06
Motion of fluids: specification of instantaneous state of fluid by velocity, pressure, and density fields, conservation of mass ("equation of continuity"), material derivative, balance of momentum (Newton's 2nd law of motion).
2 Thu, Jan 19, 06
Review of vector differential operators (30min) and material derivative (20min). Hydrostatics. Air and Water.
3 Tue, Jan 24, 06
Limitations of snorkeling. Force required to separate Magdeberg hemispheres. Equations of state for ideal and perfect gases and for water. Incompressibility of water even at deepest ocean depths. Rigid rotation velocity field. Spinning bucket experiment: observe & measure shape of surface of spinning water.
4 Thu, Jan 26, 06
Blue muddiest-point cards. Use of momentum balance to predict deflection of surface of spinning water.
5 Tue, Jan 31, 06 HW#1 due Vorticity. Local motion as translation + deformation + rigid rotation. Thermodynamic state variables, adiabatic processes, ir/reversible processes, entropy, local thermodynamic state, isentropic flow.
6 Thu, Feb 2, 06
Meaning of entropy and enthalpy. Circulation. Rate of change of circulation around a closed material curve. Kelvin's circulation theorem: conservation of circulation for inviscid isentropic flow. Irrotational flow.
7 Tue, Feb 7, 06
Example of potential flow: gravity-driven waves in deep water.
8 Thu, Feb 9, 06 HW#2 due Free-surface BC for water waves. Dispersion relation: wavelength-dependent velocity. Video at Alumni Arena pool. Propagation of wave packets: group velocity half of phase velocity. Low-tech clickers.
9 Tue, Feb 14, 06
Particle paths in wave motion. Exam #1 preparation. Long gravity waves in channel: no dispersion. Sound: no dispersion, speed predicted.
10 Thu, Feb 16, 06
Exam #1.
11 Tue, Feb 21, 06
Exam comments: tornado and ocean-bulge problems. Potential flow around a cylinder.
12 Thu, Feb 23, 06
Vector differential operators in curvilinear coordinates. Conclusion of flow around cylinder.
13 Tue, Feb 28, 06
Force on cylinder: no drag, D'Alembert paradox. PART II: VISCOUS FLUIDS. Stress, stress tensor, symmetry of T.
14 Thu, Mar 2, 06 HW#3 due Momentum balance in terms of T. Constitutive law: T in terms of veocity gradient. Isotropy. Shear and bulk viscosities. Navier Stokes equations.
15 Tue, Mar 7, 06
Plane Couette flow. Plane Poiseiulle flow.
16 Thu, Mar 9, 06 HW#4 due Pipe flow experiment.

Tue, Mar 14, 06 Spring Recess

Thu, Mar 16, 06 Spring Recess
17 Tue, Mar 21, 06
Rayleigh impulsive flow: similarity solution. Impulsive stopping of uniformly rotating cylinder of fluid.
18 Thu, Mar 23, 06 HW#5 due Exam #2 preparation.
19 Tue, Mar 28, 06
Exam #2.
20 Thu, Mar 30, 06

21 Tue, Apr 4, 06
Linearized stress-strain relations for isotropic solid. Strain-stress relations.
22 Thu, Apr 6, 06 HW#6 due Strain-stress in terms of engineering constants. More on Young's modulus and Poisson ratio. Jello. Bulk and shear moduli.
23 Tue, Apr 11, 06
Equation of motion for elastic medium. Elasto-statics: Navier's equations, Beltrami-Michell equations. Exact solutions: pure bending.
24 Thu, Apr 13, 06

25 Tue, Apr 18, 06 HW#7 due
26 Thu, Apr 20, 06

27 Tue, Apr 25, 06 HW#8 due Exam #3 preparation.
28 Thu, Apr 27, 06
Exam #3