The entry of a shock wave into a microchannel and its propagation is numerically studied by using the kinetic and continuum approaches. Numerical modeling based on the Euler equations and simulations accounting for viscosity predicts shock wave amplification after its entry into the microchannel. In the inviscid case, the shock wave propagates further with a constant velocity. If viscosity is taken into account, numerical simulations predict the shock wave attenuation, which is in qualitative agreement with experimental data.
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