CATALOG DATA:
Properties and solutions of the Navier-Stokes equations, high and low Reynolds number approximations for steady and unsteady flows.TEXTBOOK:
Panton, R. L., Incompressible Flow, John Wiley, 2005.REFERENCES:
Batchelor,G. K., An Introduction to Fluid Dynamics, Cambridge University Press, 2000.GOALS:
This course is designed to introduce first year graduate students to the fundamentals of viscous fluid flows..PREREQUISITES:
AME 60635 (AME 538)Topics:
- Exact solutions of the Navier-Stokes equations: Stokes' first and second problems, pulse solutions, Couette flow, Poiseuille flow, starting transients for Couette flow, flow over a rotating disk, flow in rectangular and elliptic channels, decay of an Oseen vortex, associated temperature fields.
- Flows with temperature-dependent properties,
- Non-Newtonian flows, visco-elasticity, Maxwell materials, convected Jeffreys model, tensorial invariants, Jaumann derivatives, Couette flow solutions,
- Laminar boundary layers: similarity transformations, Blasius solution, Falkner-Skan flows, boundary layer separation, jets, shear layers,
- Compressible viscous flows: boundary layers, von Mises transformation, one-dimensional viscous shocks,
- Introduction to molecular collision theory: mean free path, ideal gas law, derivation of estimates for diffusive transport coefficients,
- Low Reynolds number flows: Stokes flow over a sphere, lubrication theory, Reynolds equation,
- Introduction to hydrodynamic stability: Kelvin-Helmholtz instability
ABET category content as estimated by faculty member who prepared the course description:
Engineering Science: 3.0 credits or 100%
Engineering Design: 0.0 credits or 0%
Prepared by: Professor Joseph M. Powers
Last Update: June 6, 2006
Direct comments, questions, and corrections to amedept@nd.edu