A turbine tip shroud assembly (210, 310) for a gas turbine engine, the shroud assembly (210, 310) including a leading edge and a trailing edge and configured to receive a cooling fluid flow, the shroud assembly (210, 310) comprising: a shroud support that extends arcuately about an axis; and a plurality of shroud segments that are attached to the shroud support and that are arranged annularly about the axis at different circumferential positions with respect to the axis, at least one of the plurality of shroud segments including: an internal cooling passage that extends through the at least one of the plurality of shroud segments, the internal cooling passage including a first chamber and a second chamber that are spaced apart along the axis, the first chamber disposed closer to the trailing edge than the second chamber with respect to the axis, the second chamber disposed closer to the leading edge than the first chamber with respect to the axis, the internal cooling passage including a first impingement aperture directed into the first chamber, the internal cooling passage including a second impingement aperture directed into the second chamber, the internal cooling passage configured to direct the cooling fluid flow from the first impingement aperture into the first chamber, the internal cooling passage configured to direct the cooling fluid flow from the second impingement aperture into the second chamber, the first impingement aperture and the second impingement aperture arranged in series with respect to a flow direction of the internal cooling passage; at least one inlet for receiving and directing the cooling fluid flow into the internal cooling passage; and at least one outlet for outputting the cooling fluid flow from the internal cooling passage to an outlet chamber of the shroud assembly (210, 310); the internal cooling passage being hermetically sealed from the at least one inlet to the at least one outlet. a shroud support that extends arcuately about an axis; and a plurality of shroud segments that are attached to the shroud support and that are arranged annularly about the axis at different circumferential positions with respect to the axis, at least one of the plurality of shroud segments including: an internal cooling passage that extends through the at least one of the plurality of shroud segments, the internal cooling passage including a first chamber and a second chamber that are spaced apart along the axis, the first chamber disposed closer to the trailing edge than the second chamber with respect to the axis, the second chamber disposed closer to the leading edge than the first chamber with respect to the axis, the internal cooling passage including a first impingement aperture directed into the first chamber, the internal cooling passage including a second impingement aperture directed into the second chamber, the internal cooling passage configured to direct the cooling fluid flow from the first impingement aperture into the first chamber, the internal cooling passage configured to direct the cooling fluid flow from the second impingement aperture into the second chamber, the first impingement aperture and the second impingement aperture arranged in series with respect to a flow direction of the internal cooling passage; at least one inlet for receiving and directing the cooling fluid flow into the internal cooling passage; and at least one outlet for outputting the cooling fluid flow from the internal cooling passage to an outlet chamber of the shroud assembly (210, 310); the internal cooling passage being hermetically sealed from the at least one inlet to the at least one outlet. an internal cooling passage that extends through the at least one of the plurality of shroud segments, the internal cooling passage including a first chamber and a second chamber that are spaced apart along the axis, the first chamber disposed closer to the trailing edge than the second chamber with respect to the axis, the second chamber disposed closer to the leading edge than the first chamber with respect to the axis, the internal cooling passage including a first impingement aperture directed into the first chamber, the internal cooling passage including a second impingement aperture directed into the second chamber, the internal cooling passage configured to direct the cooling fluid flow from the first impingement aperture into the first chamber, the internal cooling passage configured to direct the cooling fluid flow from the second impingement aperture into the second chamber, the first impingement aperture and the second impingement aperture arranged in series with respect to a flow direction of the internal cooling passage; at least one inlet for receiving and directing the cooling fluid flow into the internal cooling passage; and at least one outlet for outputting the cooling fluid flow from the internal cooling passage to an outlet chamber of the shroud assembly (210, 310); the internal cooling passage being hermetically sealed from the at least one inlet to the at least one outlet.