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Theoretical Study of the Unsteady Flow in a Straight Channel with Variable and Constant Cross Section

机译：变截面和恒定截面直通道非定常流动的理论研究

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Wave propagation in one-dimensional channels was analyzed. In incompressible flows, the disturbances propagate with infinite speed (rigid column theory). High reduced frequencies result in a large phase shift between pressure and velocity. In compressible flows, the perturbations propagate as compression and expansion waves, with a speed equal to the speed of sound relative to the flow velocity. The amplitude of the variations increases considerably at resonant frequency and higher harmonics. The amplitude of the variations decreases along the tube length due to the superposition of waves travelling in the one-dimensional space. The numerical results of the compressible flow case show good agreement when compared to the method of characteristics. The results of the two discretization schemes used (MacCormack and Runge-Kutta) are of similar accuracy. However the Runge-Kutta scheme allows much higher numerical time steps and proves to be numerically more efficient than the MacCormack scheme.

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