In the problem I am suppose to use the wave equation to solve it.(adsbygoogle = window.adsbygoogle || []).push({});

I assume 1D plane wave duct,

u(x,t) = 1/(rho*C)*real((Aexp(ikx)-Bexp(-ikx))exp(iwt))

where C is the speed of sound, u is the velocity, p is the pressure, w is the angular frequency, t is time, rho is the density, and both A and B are unknown constants which I have to find.

The equation for Pressure is similar except without density and speed of sound term,

p(x,t) = real((Aexp(ikx)-Bexp(-ikx))exp(iwt))

At the area changing point, I am suppose to assume the same pressure and Aa*U1 = Ab*U2 (essentially matching the conditions)

After applying the left end B.C, I get A = B

But I can't move any further.... Any help would be greatly appreciated.

**Physics Forums - The Fusion of Science and Community**

# Wave Propagation solution for a variable area 1D duct

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Wave Propagation solution for a variable area 1D duct

Loading...

**Physics Forums - The Fusion of Science and Community**