to calculate the specific thrust and specific impulse over the Machnumber regime. The specific impulse results are shown in Fig. 3. A Mach-number dependent static inlet temperature profile was used for these calculations in order to account for altitude effects. 7 The nozzle inlet total temperature was chosen to be 4200 R (2300 K). The ratio of specific heats was 1.3. The fuel heating value was 19,000 BTU/lbm (44,000 kJ/kg), typical for many hydrocarbon fuels.Also shown in the Fig. 3 are the performance results for a ramjet and for afterburning turbojets with compressor pressure ratios of 30 and 4. For the turbojet calculations the compressor and turbine adiabatic efficiencies were again 0.85 and 0.90, respectively. The combustor and afterburner were assumed loss free (i.e., constant total pressure). The turbine inlet temperature was 3000 R (1670 K). It can be seen that the ideal PDE performance is fairly consistent over the Mach-number regime and that it is comparable with a nonideal, afterburning turbojet having a compressor pressure ratio of 4.0. For turbojets of a more realistic pressure ratio, the PDE shows significantly less specific impulse and (not shown) specific thrust. Compared with the ramjet, the performance advantages of a PDE are clear at Mach numbers below 3.0. Beyond this, there does not appear to be significant benefit. These PDE performance results are smaller than what is typically listed in the literature 1,2,10 ; however, because they represent computed results from a validated code, it can be argued that they are more representative of an idealization in the sense of being as good as can be expected.Other PDE applications can be examined in a straightforward manner using the map of Fig. 1. Examples would include gas-turbine topping cycles, afterburners (bypass duct or full flow), even ejectorbased cycles (if some assumptions are made regarding the work transfer process).Of the applications that have been examined, the process has been made easier through the use of Eq. (9); however, it should be kept in mind that for a given application, not all values of q 0 (and therefore enthalpy ratio) are possible. Also, the results shown represent a particular gasdynamic cycle. Other cycles, such as PDE cycles with valved exhaust (or low-loss, variable backpressure systems), or those employing shaped tubes can lead to different and possibly superior performance to that presented.
11,12
ConclusionsIt has been demonstrated in this work that idealized airbreathing PDE performance can be mapped onto a single plot of total pressure ratio vs total enthalpy ratio. It has further been shown that this format is useful in system studies because the PDE can be viewed as simply another component with straightforward input and output. The idealized PDE performance data were obtained from a onedimensional CFD code, and it has been shown that this is a more realistic approach than purely analytical methods. The performance shown is generally below that which has been previously reported for so-called idealized PDE ...