Abstract: The disclosed technology provides compact valve systems. A disclosed valve system may comprise: (1) a housing comprising apertures to permit a fluid connection between a chamber the housing is positioned within and a cavity of the housing; (2) a secondary valve positioned concentrically outside the housing; and (3) a primary valve comprising a valve seat positioned concentrically within the cavity. When the secondary valve is in a closed position the secondary valve may cover the apertures to block the fluid connection between the chamber and the cavity. When the primary valve is in a closed position and the secondary valve is in an open position, a first axial direction-facing surface of the valve seat may be positioned in a second axial direction from the apertures, thus blocking a fluid connection between the chamber and a fluid routing structure positioned in the second axial direction from the valve seat.

Abstract: The disclosed technology provides compact valve systems. A disclosed valve system may comprise: (1) a housing comprising apertures to permit a fluid connection between a chamber the housing is positioned within and a cavity of the housing; (2) a secondary valve positioned concentrically outside the housing; and (3) a primary valve comprising a valve seat positioned concentrically within the cavity. When the secondary valve is in a closed position the secondary valve may cover the apertures to block the fluid connection between the chamber and the cavity. When the primary valve is in a closed position and the secondary valve is in an open position, a first axial direction-facing surface of the valve seat may be positioned in a second axial direction from the apertures, thus blocking a fluid connection between the chamber and a fluid routing structure positioned in the second axial direction from the valve seat.