A turbine engine system, comprising: a gear train with an axial centerline and including a ring gear and a fluid passage that extends in the engine radial direction through the ring gear; and a gutter disposed radially outside of the axial centreline, the gutter at least partially circumscribing the gear train, and including an inner surface; and a channel fluidly coupled with the fluid passage and that receives fluid directed out of the gear train, the channel extending radially into the gutter from the inner surface to a channel end, and circumferentially to a channel outlet; characterised in that at least a portion of the channel has a cross-sectional channel geometry that tapers axially as the channel extends radially towards the channel end; wherein: at least a portion of the channel is located adjacent and upstream of the channel outlet; and the gutter further includes a conduit that extends through the gutter and spirals at least partially around the centerline between the channel outlet and a conduit outlet; the system, further comprising: a plurality of turbine engine rotors arranged along the axial centerline and including a first rotor and a second rotor, each of the engine rotors including a plurality of rotor blades arranged around and connected to a rotor disk; wherein the first rotor is connected to and driven by the second rotor through the gear train. a gear train with an axial centerline and including a ring gear and a fluid passage that extends in the engine radial direction through the ring gear; and a gutter disposed radially outside of the axial centreline, the gutter at least partially circumscribing the gear train, and including an inner surface; and a channel fluidly coupled with the fluid passage and that receives fluid directed out of the gear train, the channel extending radially into the gutter from the inner surface to a channel end, and circumferentially to a channel outlet; characterised in that at least a portion of the channel has a cross-sectional channel geometry that tapers axially as the channel extends radially towards the channel end; wherein: at least a portion of the channel is located adjacent and upstream of the channel outlet; and the gutter further includes a conduit that extends through the gutter and spirals at least partially around the centerline between the channel outlet and a conduit outlet; the system, further comprising: a plurality of turbine engine rotors arranged along the axial centerline and including a first rotor and a second rotor, each of the engine rotors including a plurality of rotor blades arranged around and connected to a rotor disk; wherein the first rotor is connected to and driven by the second rotor through the gear train. at least a portion of the channel is located adjacent and upstream of the channel outlet; and the gutter further includes a conduit that extends through the gutter and spirals at least partially around the centerline between the channel outlet and a conduit outlet; the system, further comprising: a plurality of turbine engine rotors arranged along the axial centerline and including a first rotor and a second rotor, each of the engine rotors including a plurality of rotor blades arranged around and connected to a rotor disk; wherein the first rotor is connected to and driven by the second rotor through the gear train. a plurality of turbine engine rotors arranged along the axial centerline and including a first rotor and a second rotor, each of the engine rotors including a plurality of rotor blades arranged around and connected to a rotor disk; wherein the first rotor is connected to and driven by the second rotor through the gear train.