11/17/2014PHY 711 Fall Lecture 351 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 35: Chapter 11 in F & W: Heat conduction

11/17/2014PHY 711 Fall Lecture 352

11/17/2014PHY 711 Fall Lecture 353 Conduction of heat jhjh T(r,t)

11/17/2014PHY 711 Fall Lecture 354 Conduction of heat -- continued heat flux heat source

11/17/2014PHY 711 Fall Lecture 355 Conduction of heat -- continued Typical values (m 2 /s) Air 2x10 -5 Water 1x10 -7 Copper 1x10 -4

11/17/2014PHY 711 Fall Lecture 356 Boundary value problems for heat conduction a T0T0 b c

11/17/2014PHY 711 Fall Lecture 357 Boundary value problems for heat conduction a T0T0 b c Assuming thermally insulated boundaries

11/17/2014PHY 711 Fall Lecture 358 Boundary value problems for heat conduction a T0T0 b c

11/17/2014PHY 711 Fall Lecture 359 Boundary value problems for heat conduction a T0T0 b c

11/17/2014PHY 711 Fall Lecture 3510 Initial value problem in an infinite domain; Fourier transform

11/17/2014PHY 711 Fall Lecture 3511 Initial value problem in an infinite domain; Fourier transform

11/17/2014PHY 711 Fall Lecture 3512 Initial value problem in an infinite domain; Fourier transform

11/17/2014PHY 711 Fall Lecture 3513 Heat equation in half-space

11/17/2014PHY 711 Fall Lecture 3514 Heat equation in half-space -- continued

11/17/2014PHY 711 Fall Lecture 3515 t=0.01 t=3 t=50