Chapter 6. Turbofan engine with afterburner

 

Similar to the turbojet engine, the afterburner can be installed in the turbofan engine to increase the maximal thrust. Usually the turbofan engine with afterburner has a mixing chamber and afterburner after it (Fig. 6.1).

 

Fig. 6.1. Scheme of turbofan engine with afterburner.

 

The calculation of turbofan engine with afterburner is similar to turbofan engine for the section up to afterburner and to turbojet with afterburner for the section after afterburner.

4. The total pressure after turbine is

 

 

and the total temperature is

 

 

4 (mix). The pressure at entrance of mixing chamber from internal contour is

 

 

The total pressure at the entrance of mixing chamber from external contour is

 

 

 

and the total temperature is

 

 

 

The normalized gas speed at the entrance of mixing chamber from external contour can be find based from condition that static pressure is equal for internal and external contour exit :

                                                      

The total temperature of mixed gas is

 

 

and the total pressure at the mixing chamber exit is

 

 

4 (ab). The total pressure after afterburner is

                                                          

The relative fuel consumption in the afterburner is

                                     

where the enthalpies   and   can be found from the empirical curves [1].

5. If the pressure is fully discharged in the nozzle the normalized gas speed from nozzle is

 

 

6. The specific thrust is

 

 

and the specific fuel consumption is

 

 

The thrust is

 

                                                       

 

7. The effective efficiency of cycle is

                                              

where  is an effective work of cycle that can be found from

                                          

 

The flying efficiency is

                                                    

The total efficiency is