PHYSICS 220. Fluid Dynmaics

Semester: 

Spring
  • Professor: L Mahadevan
  • Term: Spring
  • Days: W, F
  • Time: 4:30-5:45PM
  • School: Faculty of Arts and Sciences
  • Course ID: 110144
  • Subject Area: Physics

From statistical to continuum mechanics. Geometry of motion. Strain, strain rate, polarity and nematicity. Vorticity. Conservation laws. Stress - passive and active. Symmetry, invariance and constitutive equations. Dimensional analysis and scaling. Navier-Stokes equations and their generalizations to active matter. Experimental hydrodynamics. Solutions for simple flow states. Boundary layers (and engineering flows). Rotating flows (and geophysics). Creeping flows (and biophysics). Thin film flows (and environmental physics). Similarity and singularity. Linear and nonlinear waves in passive and active fluids- acoustics, shocks, water waves, bird flocks. Flow instabilities. Mixing and turbulence.

Recommended Prep: Familiarity with dynamics, vectors, multivariable calculus, and partial differential equations. An undergraduate course in continuum or statistical mechanics, electrodynamics, or quantum mechanics is strongly recommended.