170 Mr. W. J. Walker on Thermodynamic Cycles 



The heat imparted to the working fluid in the Dual Com- 

 bustion Cycle is given by 



H 1= K/T+ VT 



J To jTx 



=*(T 1 -T )(b+ |f7+T' ) + (T 2 -T 1 )(A+ If^PTx). 

 The heat rejected = H 2 



=Jk^t=(T 3 -T)(b+ |tTPt). 



TT 



The thermal efficiency ^ m =1 — t^, the suffix "m" denoting 

 the Dual Combustion Cycle. x 



(t i -t)'(b+|e+t) 



(T 1 -T,)(B+|T 1 + T^ + (T 1 -T I )(A+|T t +T I ) 



Expressing all the temperatures in the cycle as functions 

 of T, the suction temperature, the following relationships are 



obtained, denoting the ratio ^ by \, 



To=Tr7-W- T e), 



where v 



r= -, 



A 



and e is the base of the hyperbolic logarithms. This 

 becomes, to a first approximation, 



T =Trr- 1 (l + A.Tl-rr-i), 



since X is very small ; 



therefore T =Tr7-l(l + \D), (2) 



wher @ D-TCl-^" 1 ) ; 



T^arT-^l + XD), (3) 



where Pi . 

 Po 

 T 2 =parr-lT(l+\D), (4) 



