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Aircraft Performance

 

Table 13.1. Summary of installed thrust and fuel-flow data per engine at three ratings

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Altitude

 

Loss

Scaling

 

sfc

Available

Thrust (lb)

Fuel flow

Rating

ft

Mach

%

factor

T/TSLS

lb/lb/hr

uninstalled

installed

(lb/hr)

 

Takeoff

0

0

7

3,315

1

0.498

3,560

3,315

1,772

 

Maximum Climb

1,000

0.38

6

3,346

0.670

0.700

2,373

2,231

1,661

 

Maximum

41,000

0.74

4

3,418

0.222

0.730

790

758

578

 

Cruise

 

 

 

 

 

 

 

 

 

Note: All computations are based on TSLS UNINSTALLED = 3,560 lb per engine.

be omitted without any loss of conceptual design work undertaken in this book. Supersonic flight requires further adjustments.

13.3 Establish Engine Performance Data

The discussion in this section generates the available installed thrust and fuel-flow graphs matched for the worked-out, sized-aircraft examples (see Chapter 11): a Bizjet and an AJT. In addition, the performance data for a 1,140-shp turboprop engine are provided for readers to work out the associated aircraft performance.

Because the given sfc graphs are based on uninstalled thrust, the fuel-flow rates are computed using uninstalled thrust. Installation loss at cruise is approximately half the percentage loss at takeoff.

13.3.1 Turbofan Engine (BPR < 4)

Figures 10.45 through 10.47 provide the typical uninstalled turbofan thrust in nondimensional form in terms of TSLS, along with the corresponding sfc for the Bizjet aircraft class. Section 11.6 establishes the requirement of an uninstalled matched TSLS UNINSTALLED = 3,560 lb per engine. Worked out herein and summarized in Table 13.1 are examples of installed thrust and fuel flows for the three engine ratings. The data are sufficient for the example used in this book; intermediate values may be interpolated linearly.

Takeoff Rating (Bizjet): Standard Day

Depending on how the ECS is managed, installation loss typically varies from 6 to 8% of the uninstalled, sea-level static thrust. If required, the air-conditioning can be turned off for a brief period until the undercarriage is retracted. Using a 7% installation loss at takeoff, Section 11.6 works out the matched installed TSLS INSTALLED = 0.93 × 3,560 = 3,315 lbs per engine for the sized Bizjet. Figure 13.1 shows the installed engine thrust at the takeoff rating.

The fuel-flow rate is computed from the sfc of 0.498 lb/hr/lb at the sea-level, static condition (see Section 10.11.3). Using the uninstalled TSLS = 3,560 lbs per engine, the fuel-flow rate is 3,560 × 0.498 = 1,772 lbs per hour per engine. Fuel flow is kept nearly constant at takeoff up to the enroute climb segment, when the engine is throttled down to the maximum climb rating (computed in the following section).

13.3 Establish Engine Performance Data

421

Figure 13.1. Installed takeoff performance per engine (BPR 3 to 4)

Maximum Climb Rating (Bizjet): Standard Day

Figure 10.46 shows the uninstalled maximum climb thrust in nondimensional form in terms of TSLS and fuel consumption (sfc) up to a 50,000-ft altitude for three Mach numbers. The installation loss during a climb is 6% of the uninstalled thrust. Using these graphs, the installed thrust and fuel-flow rates are plotted in Figure 13.2. This turbofan has a break in the fuel flow at a 5,000to 10,000-ft altitude, depending on the flight Mach number, to keep the EGT within the limits, which results in a corresponding break in thrust generation (see Figure 13.2).

Equation 11.15 in Chapter 11 requires a factor k2 to be applied to the TSLS to obain the initial climb thrust. In the example, k2 is 1.5. Continuing with the coursework exercise, the uninstalled, initial climb thrust is 3,560/1.5 = 2,373 lbs per engine and the installed thrust becomes TSLS INSTALLED = 0.94 × 2,373 = 2,231 lbs per engine. Fuel flow at the initial climb is obtained from the sfc graph in Figure 10.46b. For the initial climb, the sfc is 0.7 pound per hour per pound, which results in a fuel flow of 0.7 × 2,373 = 1,661 lbs/hr per engine. Equations for the climb performance are derived in Section 13.4.3 and the coursework example is verified in Section 13.5.2. Estimation of the payload range requires the full aircraft climb performance up to the cruise altitude.

Figure 13.2. Installed maximum climb performance per engine (< BPR 4)

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