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A new form of the phenomenological theory of unsteady combustion of solid propellants is proposed. It is based on the explicit use of a single physical quantity  effective initial combustion temperature. The solution of the problem of combustion stability in the presence of heat loss from the side surface of fuel of cylindrical form is given. The heat loss reduces the region of combustion stability and can lead to extinction.

Limits of steady burning propellants in the phenomenological theory using effective initial temperature