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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PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
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PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
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Presentation transcript:

11/11/2015PHY 711 Fall 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

11/11/2015PHY 711 Fall Lecture 312

11/11/2015PHY 711 Fall Lecture 313

11/11/2015PHY 711 Fall Lecture 314

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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