A systematic methodology for the thermodynamic optimisation of civil bypass
engines (turbofan or advanced propulsors) is presented, which would be use
ful for designing air-breathing engines based on "clean-sheet analysis". Th
e process starts with establishing an optimum specific thrust for the engin
e based on an economic analysis (installation constraints, noise regulation
s etc. also need to be considered). The task of the optimisation process is
then to find the combination of optimum values of fan pressure ratio, over
all pressure ratio, bypass ratio and turbine entry temperature concurrently
that maximises overall efficiency at the fixed specific thrust. This proce
dure is quite different from the usual single-variable parametric performan
ce studies which do not give proper optimum values and may involve large ex
cursion in the value of the specific thrust unacceptable for a particular m
ission. Additionally, several, simple and explicit, analytical relations ar
e derived here from fundamental principles, which perform well against nume
rical optimisation performed by a specialist computer program employing ite
rative and advanced search techniques. The analytical relations accelerate
the optimisation process and offer physical insight. Present numerical comp
utations with real gas properties have established new concepts in turbofan
optimisation (for example, the existence of an optimum bypass ratio and op
timum turbine entry temperature). The question of optimum jet velocity has
been addressed. An analytical expression for the optimum jet velocity at a
given bypass ratio has been derived which performs well against numerical o
ptimisation results.