Approximate analytical solution of the inhomogeneous Burgers equation
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The method of the active second harmonic suppression in resonators is investigated in this paper both analytically and numerically. The resonator is driven by a piston which vibrates with two frequencies. The first one agrees with an eigenfrequency and the second one is equal to the two times higher eigenfrequency. The phase shift of the second piston motion is 180 degrees. It is known that for this case it is possible to describe generation of the higher harmonics by means of the inhomogeneous Burgers equation. The new approximate solution of inhomogeneous Burgers equation for real fluid is presented here.
Key wordsinhomegeneous Burgers equation nonlinear standing waves Van Dyke matching principle
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