For a methane rocket engine, the mass flow rate of exhaust gases is influenced by the rate of combustion of methane and the oxidizer (e.g., liquid oxygen). The exhaust velocity is determined by the combustion characteristics and the design of the rocket nozzle. The pressure of the exhaust gases is dependent on the combustion process.
The thrust equation for a turbojet engine using control volume analysis is expressed as:
where,
- is the thrust force,
- ṁe is the mass flow rate of exhaust gases in kilograms per second (kg/s).
- is the Exhaust velocity at the nozzle exit in meters per second (m/s).
- ṁ0 is the mass flow rate of inlet gases in kilograms per second (kg/s).
- is the Exhaust velocity at the nozzle Inlet in meters per second (m/s).
- is the Pressure at the nozzle exit in pascals (Pa).
- is the Pressure at the nozzle inlet in pascals (Pa).
- is the Area of the nozzle exit in square meters (m²).