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11/11/2015PHY 711 Fall 2015 -- Lecture 311 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 31: Chapter 11.

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Presentation on theme: "11/11/2015PHY 711 Fall 2015 -- Lecture 311 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 31: Chapter 11."— Presentation transcript:

1 11/11/2015PHY 711 Fall 2015 -- Lecture 311 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 31: Chapter 11 in F & W: Heat conduction 1.Basic equations 2.Boundary value problems

2 11/11/2015PHY 711 Fall 2015 -- Lecture 312

3 11/11/2015PHY 711 Fall 2015 -- Lecture 313

4 11/11/2015PHY 711 Fall 2015 -- Lecture 314

5 11/11/2015PHY 711 Fall 2015 -- Lecture 315 Conduction of heat jhjh T(r,t)

6 11/11/2015PHY 711 Fall 2015 -- Lecture 316 Note that in this treatment we are considering a system at constant pressure p

7 11/11/2015PHY 711 Fall 2015 -- Lecture 317 Conduction of heat -- continued heat flux heat source

8 11/11/2015PHY 711 Fall 2015 -- Lecture 318 Conduction of heat -- continued Typical values (m 2 /s) Air 2x10 -5 Water 1x10 -7 Copper 1x10 -4 thermal diffusivity

9 11/11/2015PHY 711 Fall 2015 -- Lecture 319 Boundary value problems for heat conduction a T0T0 b c

10 11/11/2015PHY 711 Fall 2015 -- Lecture 3110 Boundary value problems for heat conduction a T0T0 b c Assuming thermally insulated boundaries

11 11/11/2015PHY 711 Fall 2015 -- Lecture 3111 Boundary value problems for heat conduction a T0T0 b c

12 11/11/2015PHY 711 Fall 2015 -- Lecture 3112 Boundary value problems for heat conduction a T0T0 b c

13 11/11/2015PHY 711 Fall 2015 -- Lecture 3113 Initial value problem in an infinite domain; Fourier transform

14 11/11/2015PHY 711 Fall 2015 -- Lecture 3114 Initial value problem in an infinite domain; Fourier transform

15 11/11/2015PHY 711 Fall 2015 -- Lecture 3115 Initial value problem in an infinite domain; Fourier transform

16 11/11/2015PHY 711 Fall 2015 -- Lecture 3116 Heat equation in half-space

17 11/11/2015PHY 711 Fall 2015 -- Lecture 3117 Heat equation in half-space -- continued

18 11/11/2015PHY 711 Fall 2015 -- Lecture 3118 t=0.01 t=3 t=50

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