Knowledge of an airplane's drag polar is needed to establish the performance characteristics of the airplane. In-flight measurements are frequently made during the course of test programs to define drag polars. Inaccuracies in the measured variables can contribute to significant uncertainties in computed lift and drag coefficients. To gain an appreciation of the magnitude of these uncertainties, equations have been derived for an aircraft powered by a nonafterburning turbojet engine which express the inaccuracies in lift and drag coefficients in terms of inaccuracies in measured variables. As a by-product, the variables that are the source of the larger inaccuracies in the drag polar can be found and the need for improved instrumentation identified. Sample calculations were made using data from the Air Force performance tests on the A-37A, and inaccuracies in its drag polar, as well as in the intermediate answers (gross thrust, inlet momentum, and drag), are shown graphically. These calculations indicate that the most critical measurements are of turbine discharge pressure and vane alignment (to orient axes of accelerometers used to compute excess thrust); degradation of computed drag from errors in these variables is most pronounced at high lift coefficients.
Nomenclature
AS= nozzle area, ft 2 CD = drag coefficient, dimensionless C g = nozzle coefficient, dimensionless CL = lift coefficient, dimensionless D = drag, Ib F e = inlet momentum (ram drag), Ib F ex = excess thrust, Ib F g = gross thrust, Ib H = geopotential altitude, ft I( ) = interval estimate of ( ) Ki = 6.87535 X 10 ~6, 1/geopotential ft #2 = 5.2561 K s = 17058.8 psf K 4 = 0.43034 ft 2 /lb K 5 = 661.48 knots K a = percentage point M = Mach number, dimensionless n x = load factor along wind x-axis, dimensionless n z = load factor along wind z-axis, dimensionless P a = ambient pressure, m . Hg Pt& = turbine discharge pressure,m. Hg S = wing area, ft 2 T = ambient temperature, °K * Chief, Aircraft Research Section. V c = calibrated airspeed, knots V'i = true airspeed, knots &V C = compressibility correction V c = V c -f &V C) knots w a = airflow, Ib/sec W = airplane gross weight, Ib e -misalignment angle, rad Psi = air density at sea level, slugs/ft 3 o-= standard deviation, air density ratio cr 2 = variance Superscript * = nominal value