Stability of two-dimensional incompressible boundary layer. Thermal instability. Stability of flow between rotating cylinders. Introduction to nonlinear instability. Applications to ionosphere and oceans.
3 hr./wk.
An extension of classical thermodynamics to the treatment of irreversible processes. Entropy production. Forces and fluxes. Coupling of fluxes. Curie's principle. Reciprocal relations. Application to heat conduction, diffusion, momentum transfer, electrical conduction, chemical reaction, and their interaction.
3 hr./wk.
The application of perturbation methods in the solution of solid mechanics, fluid mechanics and heat transfer problems. Formulation of the mathematical techniques in perturbation theory. Topics include: regular and singular problems, the method of strained coordinates, and matched asymptotic expansions. Applications to viscous flow at low and high Reynolds numbers, mechanical vibrations, and celestial mechanics problems.
3 hr./wk.
Fundamental equations of the theory of elasticity. Uniqueness theorem. Formulation of torsion, flexure, plane stress and plane strain problems, and solution methods by means of complex variable and integral transforms. Three-dimensional problems. Displacement potentials and methods of Hankel transforms. Stress waves in solids.
3 hr./wk.