1D Propagation across impedance changes.pdf

# Π ? ω c wavelength ? c f p c 2 ρ p ρ cu e ρ u 2

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π λ = ω c wavelength = λ = c f p = ¯ c 2 ρ p = ± ¯ ρ ¯ cu e = ¯ ρ u 2 I = p u = ¯ ce 2.4.4 Summary of 1D waves e t + ¯ c e x = 0 where e = e k + e p

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MACE41131: 2. 1D wave propagation 1.u / = 0 at a rigid end (dp / /dx=0) 2.p / = 0 at open end 3.p / constant across area change and mass conserved 26 Transmission loss = 10 log 10 Incident power Transmitter power T = 2 A 1 A 1 + A 2 I R = A 1 - A 2 A 1 + A 2 I For area change: 2.4.4 Summary of 1D waves
MACE41131: 2. 1D wave propagation 1.Expansion chambers can result in reduction of transmitted wave by reflecting back to source 2.Ineffective at sin(kL) = 0 3.Commonly used to quieten flow 4.Usually enhanced with damping material 27 Z = p u = ρ c R = Z 2 - Z 1 Z 1 + Z 2 I Between two fluids T = 2 Z 2 Z 1 + Z 2 I 2.4.4 Summary of 1D waves

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MACE41131: 2. 1D wave propagation 1.Large mass is required to flow low transmission across a wall 2.Surface ‘impedance’ = i ω m + ρ c 28 Transmission across a wall 2.4.4 Summary of 1D waves T = 2 I ρ c mi ω + 2 ρ c R = 2 I mi ω mi ω + 2 ρ c
MACE41131: 2. 1D wave propagation Next time 3. 3D waves 29
• Summer '16
• wave equation, Wave propagation, Transmission medium

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