A turbomachine combustion chamber including a chamber bottom with at least one opening designed to receive a combustion bowl in the axis of which an air and fuel injection device is mounted is disclosed. The downstream end of the flared bowl includes a divergent with a double partition delimiting an annular cavity. The first outer partition includes inlet orifices arranged to cool the second inner partition by impact and the second inner partition includes outlet orifices. The inlet orifices, distributed in at least two circular rows on the periphery of the divergent, are in staggered rows with the outlet orifices.