An aircraft propulsion system is provided that includes a turbine engine and an exhaust gas condenser. The exhaust gas condenser includes a housing, a nozzle, air scoops, a bank of exhaust gas conduits, and a center collection channel. The housing includes an interior cavity, top and bottom sides, and first and second lateral sides. The bank of exhaust gas conduits is disposed in the interior cavity of the housing and includes exhaust gas conduits and bypass air passages. The exhaust gas conduits and bypass air passages are disposed in an alternating configuration. The center collection channel is disposed radially inside of the bank of exhaust conduits. The exhaust gas conduits and bypass air passages extend spirally along the central axis between the forward and aft ends. Each bypass air passage is in fluid communication with an air scoop and the center collection channel.