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Monday 2 September 2013

Pressure amplitude distribution: Horn equation.

The pressure amplitude distribution p(x) of harmonic oscillation, p(x,t) = p(x) cos(wt), in the horn is governed by the equation:


where A(x) is the cross-section are, k is the wavenumber, w=2 pi f is de angular frequency, c = 340 m/s is the sound speed in air, f is the frequency.

Boundary conditions of horn opened at the both sides are: p(0) = p(L)=0.


It shows the first three modes of the second order differential equation given above. It shows clearly the pressure null at ends.

It shows the first 10 modes.

Click on BUY NOW, we have solved the horn equation, step-by-step. We have used MATLAB to solve this equation, we included the code.

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