: I Pallabazzer 



though no new hypothesis is involved with the equations. We will just recall the 

 expression of the single terms which appear in the equations, so that the degree 

 of idealization made will also be clear. All the quantities are defined for unit 

 air flow rate entering the turbine. 



(a) Work of compression: 



(T2-Tj) 



Lf =:— aid^-T,) 



(turbine compressor) 



(bypass compressor) 



(29) 



(b) Work of expansion: 



L, = (l + a'-ai)Cpg7^^,(T3-T,) 

 Ltf = (l+«')Sg^rnt(T3-T,) 



'th 



(l+«'-«l)Sg^mt(T3-T4) 



Ltl.b = "uSg'^mtCTs-T^) 

 (c) Pumping work: 



(one turbine) 

 (one bypass turbine) 

 (high-pressure turbine) 

 (low-pressure turbine) 

 (low-pressure reburning turbine) 



(30) 



Hp/r 



(31) 



where 7 = m^/m^ is the inflow mass ratio 



By equating separately the previous work, one obtains the mechanical equi- 

 librium at the compressor axle {mechanical constraint) and at the pump axle 

 {hydromechanical constraint) . The other balances are: 



(d) Energy balance at the burners: 



(l+«')Cpn,(T3-T2) = a' ^j^Hj , (first burner Bl) 

 (1 + a' + «"- «!- a2)Cpm(T5-T^) = a" T^j^Hi , (afterburner B2) ,^^. 



(1 + S) «iCpm(T9-Tg) = SttjT^j^Hi , (auxiliary burning B3) . 



1142 



