Page 140 - Aeronautical Engineer Data Book
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Section 8


      Principles of propulsion








      8.1 Propellers
      A propeller or airscrew converts the torque of
      an engine (piston engine or turboprop) into
      thrust. Propeller blades have an airfoil section
      which becomes more ‘circular’ towards the hub.
      The torque of a rotating propeller imparts a
      rotational motion to the air flowing through it.
      Pressure is reduced in front of the blades and
      increased behind them, creating a rotating
      slipstream. Large masses of air pass through the
      propeller, but the velocity rise is small compared
      to that in turbojet and turbofan engines.

      8.1.1 Blade element design theory
      Basic design theory considers each section of
      the propeller as a rotating airfoil. The flow over
      the blade is assumed to be two dimensional (i.e.
      no radial component). From Figure 8.1 the
      following equations can be expressed:
                         –1
        Pitch angle   = tan (V /πnd)
                             0
      The propulsion efficiency of the blade element,
      i.e. the blading efficiency, is defined by:
               dF     tan       L/D – tan
            V 0
          =   =    =
         b
             udQ    tan(  +  )   L/D + cot
              u  = velocity of blade element = 2πnr
        where D  = drag
              L  = lift
             dF  = thrust force acting on blade
                    element
             dQ  = corresponding torque force
               r  = radius
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