Hydrogen fuel system for a gas turbine engine

A gas turbine engine comprising:

• a turbomachine comprising a combustion section and an exhaust assembly arranged in serial flow order, wherein the exhaust assembly comprises a tail cone and a core nozzle circumferentially surrounding at least a portion of the tail cone, wherein the core nozzle comprises a plurality of lobes, the plurality of lobes positioned circumferentially within the exhaust assembly;
• and
• a fuel system comprising:
• a hydrogen fuel tank for holding a hydrogen fuel in a liquid phase;
• and
• a hydrogen delivery assembly in thermal communication with the exhaust assembly, the hydrogen delivery assembly comprising:
• a liquid hydrogen line in fluid communication with the hydrogen fuel tank;
• a gaseous hydrogen line in fluid communication with the combustion section of the gas turbine engine;
• and
• a heat exchanger tubing positioned within the exhaust assembly downstream of the liquid hydrogen line and upstream of the gaseous hydrogen line, wherein the heat exchanger tubing is a plurality of heat exchanger tubing, and wherein the plurality of heat exchanger tubing is positioned in the plurality of lobes, are formed integrally with the plurality of lobes, or both.