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The time-dependent gas flows through axisymmetric porous objects with heterogeneous combustion sources are considered. The mathematical model, which describes the process, and the numerical method are proposed. The regimes of heterogeneous combustion wave propagation in axisymmetric porous object with various location of ignition zones under forced filtration are investigated. It is shown that the gas tends to bend around the heated zone and flows through colder regions as in the case of two-dimensional plane flows.

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