11/21/2014PHY 711 Fall Lecture 371 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 37 1.Continued discussion of the effects of viscosity in fluid motion (Chap. 12) a.Comment on Stokes’ viscosity b.Navier-Stokes equation 2.Comments on Exam 2

11/21/2014PHY 711 Fall Lecture 37211/22/2013PHY 711 Fall Lecture 342 Final grades due 12/17/2014

11/21/2014PHY 711 Fall Lecture 373

11/21/2014PHY 711 Fall Lecture 374 Comments on Stokes’ equation for viscous drag Plan: 1.Consider the general effects of viscosity on fluid equations 2.Consider the solution to the linearized equations for the case of steady-state flow of a sphere of radius R 3.Infer the drag force needed to maintain the steady-state flow u FDFD

11/21/2014PHY 711 Fall Lecture 375

11/21/2014PHY 711 Fall Lecture 376

11/21/2014PHY 711 Fall Lecture 377

11/21/2014PHY 711 Fall Lecture 378

11/21/2014PHY 711 Fall Lecture 379 u FDFD

11/21/2014PHY 711 Fall Lecture 3710 More general formulation of viscosity from Chapter 12 of Fetter and Walecka

11/21/2014PHY 711 Fall Lecture 3711 Effects of viscosity viscosity bulk viscosity

11/21/2014PHY 711 Fall Lecture 3712 Effects of viscosity -- continued

11/21/2014PHY 711 Fall Lecture 3713 Comments on Exam 2

11/21/2014PHY 711 Fall Lecture 3714

11/21/2014PHY 711 Fall Lecture 3715

11/21/2014PHY 711 Fall Lecture 3716

11/21/2014PHY 711 Fall Lecture 3717 x Principal moments of inertia

11/21/2014PHY 711 Fall Lecture 3718

11/21/2014PHY 711 Fall Lecture 3719

11/21/2014PHY 711 Fall Lecture 3720

11/21/2014PHY 711 Fall Lecture 3721 a 3a

11/21/2014PHY 711 Fall Lecture 3722 a 3a