An annular dual-flow check valve for controlling the flow through concentric channels that have a common outlet, comprising: an outer body and an inner body that define the concentric channels, which include an outer channel and an inner channel formed therein; a spring activated annular poppet that resides in the outer channel and has a range of motion in the axial direction; and an opening through the inner body that connects the outer channel to the inner channel; wherein: the axial movement of the annular poppet is regulated by the pressure of the flow upstream of the annular poppet in the outer channel; and the axial range of motion of the annular poppet includes at least two axial positions: a closed position where the annular poppet substantially covers the opening and a open position where at least a portion of the opening is not covered by the annular poppet.