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In this paper, one-dimensional nonisentropic compressible Euler equationswith linear damping $\alpha(x)\rho u$ are analyzed.~We want to explore theconditions under which a subsonic temporal periodic boundary can trigger atime-periodic $C^{1}$ solution. To achieve this aim, we use a technicallyconstructed iteration scheme and give the sufficient conditions to guaranteethe existence, uniqueness and stability of the $C^{1}$ time-periodic solutionson the perturbation of a subsonic Fanno flow.~It is worthy to be pointed outthat the entropy exhibits large amplitude under the assumption that the inflowsound speed is small.~However, it is crucial to assume that the boundaryconditions possess a kind of dissipative structure at least on one side, whichis used to cancel the nonlinear accelerating effect in the system.~The resultsindicate that the time-periodic feedback boundary control with dissipation canstabilize the nonisentropic compressible Euler equations around the Fannoflows.

Subsonic time-periodic solution to damped compressible Euler equations with large entropy