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11/17/2014PHY 711 Fall 2014 -- Lecture 351 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 35: Chapter 11.

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Presentation on theme: "11/17/2014PHY 711 Fall 2014 -- Lecture 351 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 35: Chapter 11."— Presentation transcript:

1 11/17/2014PHY 711 Fall 2014 -- 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

2 11/17/2014PHY 711 Fall 2014 -- Lecture 352

3 11/17/2014PHY 711 Fall 2014 -- Lecture 353 Conduction of heat jhjh T(r,t)

4 11/17/2014PHY 711 Fall 2014 -- Lecture 354 Conduction of heat -- continued heat flux heat source

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

6 11/17/2014PHY 711 Fall 2014 -- Lecture 356 Boundary value problems for heat conduction a T0T0 b c

7 11/17/2014PHY 711 Fall 2014 -- Lecture 357 Boundary value problems for heat conduction a T0T0 b c Assuming thermally insulated boundaries

8 11/17/2014PHY 711 Fall 2014 -- Lecture 358 Boundary value problems for heat conduction a T0T0 b c

9 11/17/2014PHY 711 Fall 2014 -- Lecture 359 Boundary value problems for heat conduction a T0T0 b c

10 11/17/2014PHY 711 Fall 2014 -- Lecture 3510 Initial value problem in an infinite domain; Fourier transform

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

12 11/17/2014PHY 711 Fall 2014 -- Lecture 3512 Initial value problem in an infinite domain; Fourier transform

13 11/17/2014PHY 711 Fall 2014 -- Lecture 3513 Heat equation in half-space

14 11/17/2014PHY 711 Fall 2014 -- Lecture 3514 Heat equation in half-space -- continued

15 11/17/2014PHY 711 Fall 2014 -- Lecture 3515 t=0.01 t=3 t=50

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