10//3015PHY 711 Fall Lecture 261 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 26: Chap. 9 of F&W Wave equation for sound in linear approximation 1.Wave equations for sound 2.Speed of sound 3.Standing wave solutions
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10//3015PHY 711 Fall Lecture 263 Application of fluid equations to the case of air in equilibrium plus small perturbation
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10//3015PHY 711 Fall Lecture 267 Analysis of wave velocity in an ideal gas: adiabatic conditions
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10//3015PHY 711 Fall Lecture 2610
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10//3015PHY 711 Fall Lecture 2613 Time harmonic standing waves in a pipe L a
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10//3015PHY 711 Fall Lecture 2617 m=0 m=1 m=2
10//3015PHY 711 Fall Lecture 2618 m=0 m=1 m=2 Zeros of derivatives: m=0: , , m=1: , , m=2: , ,
10//3015PHY 711 Fall Lecture 2619 Boundary condition for z=0, z=L:
10//3015PHY 711 Fall Lecture 2620 Example
10//3015PHY 711 Fall Lecture 2621 Alternate boundary condition for z=0, z=L:
10//3015PHY 711 Fall Lecture 2622 Other solutions to wave equation: