Fuel dispensing apparatus and method of operation

A fuel injector for a gas turbine engine, the fuel injector extending axially along a centerline and comprising:

• a radial displacement bellows having an outer surface facing a surrounding environment and an interior surface facing a flowpath extending along a centerline, wherein the radial displacement bellows is constructed and arranged to move radially relative to the centerline between an expanded state when a pressure differential between the environment and the flowpath is low to a restricted state that decreases a flow cross sectional area of the bellows when the pressure differential is high;
• and
• a fuel spray nozzle axially engaged, relative to the centerline, to the radial displacement bellows and defining in-part the flowpath;
• wherein the radial displacement bellows is configured to regulate a flow rate of fuel through the flowpath to the fuel spray nozzle by changing the cross sectional area of the bellows in response to variations of the pressure differential.