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Characteristic Line of a Sound Wave?

by Lucus
Tags: characteristic, line, sound, wave
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Lucus
#1
Dec10-05, 08:08 PM
P: 4
Okay, I have another fluids question:

The velocity (u) caused by a rightward propagating wave in a gas is described by the nonlinear wave equation
(du/dt) + [a + ((gamma+1)*u/2)]*(du/dx) = 0,
where a is the speed of sound, gamma is a constant, and (du/dt) and (du/dx) are partial derivatives. I need to derive the equation for the characteristic line eta(t,x) and I don't really know where to start. Any help would be greatly appreciated. Thanks!
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