Page 227 - The Jet Engine
P. 227

Performance





                      temperature is constant up to 65.617ft.  The I.S.A.  not in pounds of thrust the factors are different. For
                      standard pressure at sea level is 14.69 pounds per  example, the correction for s.h.p. is:
                      square inch falling to 3.28 pounds per square inch at  S.h.p. (corrected) =
                      the tropopause (refer to I.S.A. table fig. 21-10).                    30    273 + 15
                                                                           s.h.p. (observed)  x  x
                                                                                            P 0   273 +  0 T
                                                                                = atmospheric pressure (in.Hg.)
                                                                       where P 0
                      ENGINE THRUST ON THE TEST BENCH                             (observed)
                                                                                = atmospheric temperature in deg.C.
                                                                             T 0
                      8. The thrust of the turbo-jet engine on the test           (observed)
                      bench differs somewhat from that during flight.        30 = I.S.A. standard sea level pressure
                      Modern test facilities are available to simulate            (in.Hg.)
                      atmospheric conditions at high altitudes thus    273 + 15 = I.S.A. standard sea level
                      providing a means of assessing some of the                  temperature in deg.K.
                      performance capability of a turbo-jet engine in flight  273 + T 0  = Atmospheric temperature in
                      without the engine ever leaving the ground. This is         deg.K.
                      important as the changes in ambient temperature  In practice there is always a certain amount of jet
                      and pressure encountered at high altitudes consider-  thrust in the total output of the turbo-propeller engine
                      ably influence the thrust of the engine.         and this must be added to the s.h.p. The correction
                                                                       for jet thrust is the same as that in para. 10.
                      9. Considering the formula derived in Part 20 for
                      engines operating under 'choked' nozzle conditions,  12. To distinguish between these two aspects of the
                                                                       power output, it is usual to refer to them as s.h.p. and
                                 Thrust =  P ( −  P0 )⋅ A +  WV J      thrust horse-power (t.h.p.).  The total equivalent
                                                     g                 horse-power is denoted by t.e.h.p. (sometimes
                                                                       e.h.p.) and is the s.h.p. plus the s.h.p. equivalent to
                      it can be seen that the thrust can be further affected  the net jet thrust. For estimation purposes it is taken
                      by a change in the mass flow rate of air through the  that, under sea- level static conditions, one s.h.p. is
                      engine and by a change in jet velocity. An increase in
                      mass airflow may be obtained by using water      equivalent to approximately 2.6 lb. of jet thrust.
                                                                       Therefore :
                      injection (Part 17) and increases in jet velocity by
                      using afterburning (Part 16).                                                jet  thrust  lb .
                                                                                   . p . h . e . t  =  . p . h . s  +
                      10. As previously mentioned, changes in ambient                                   6 . 2
                      pressure and temperature considerably influence the  13. The ratio of jet thrust to shaft power is
                      thrust of the engine. This is because of the way they  influenced by many factors. For instance, the higher
                      affect the air density and hence the mass of air  the aircraft operating speed the larger may be the
                      entering the engine for a given engine rotational  required proportion of total output in the form of jet
                      speed. To enable the performance of similar engines  thrust. Alternatively, an extra turbine stage may be
                      to be compared when operating under different
                      climatic conditions, or at different altitudes, correction  required if more than a certain proportion of the total
                                                                       power is to be provided at the shaft. In general,
                      factors must be applied to the calculations to return  turbo-propeller aircraft provide one pound of thrust
                      the observed values to those which would be found  for every 3.5 h,p. to 5 h.p.
                      under I.S.A. conditions. For example, the thrust
                      correction for a turbo-jet engine is:            Comparison between thrust and horse-power
                      Thrust (lb.) (corrected) =                       14. Because the turbo-jet engine is rated in thrust
                                                              30       and the turbo-propeller engine in s.h.p., no direct
                                         thrust (lb.) (observed) x
                                                              P 0      comparison between the two can be made without a
                      where P 0  = atmospheric pressure in inches of   power conversion factor. However, since the turbo-
                                  mercury (in. Hg.) (observed)         propeller engine receives its thrust mainly from the
                             30 = I.S.A. standard sea level pressure   propeller, a comparison can be made by converting
                                  (in.Hg.)                             the horse-power developed by the engine to thrust or
                                                                       the thrust developed by the turbo-jet engine to t.h.p.;
                      11. The observed performance of the turbo-       that is, by converting work to force or force to work.
                      propeller engine is also corrected to I.S.A.     For this purpose, it is necessary to take into account
                      conditions, but due to the rating being in s.h.p. and  the speed of the aircraft.


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