Page 35 - Aerodynamics for Engineering Students
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18  Aerodynamics for Engineering Students







                         (a 1              Symmetrical fairing




                                                 I
                          (b)                 Camber line
                                                                           YU'YS+YC
                                                                           Y  L =ys-yc




                          (C 1              Cambered aerofoil

                  Fig. 1.6 Wing section geometry



                  This is an aerofoil section. For  subsonic use,  the  aerofoil section has  a  rounded
                  leading edge.  The  depth  increases  smoothly to  a  maximum  that  usually  occurs
                  between f  and 4 way along the profile, and thereafter tapers off towards the rear of
                  the section.
                    If  the leading edge is rounded it has a definite radius of curvature. It is therefore
                  possible to draw a circle of this radius that coincides with a very short arc of the
                  section where the curvature is greatest. The trailing edge may be sharp or it, too, may
                  have  a  radius of  curvature,  although this is normally much  smaller than  for the
                  leading edge. Thus a small circle may be drawn to coincide with the arc of maximum
                  curvature of the trailing edge, and a line may be drawn passing through the centres of
                  maximum curvature of the leading and trailing edges. This line, when produced to
                  intersect the section at each end, is called the chord line. The length of the chord line
                  is the aerofoil chord, denoted by c.
                    The point where the chord line intersects the front (or nose) of the section is used as
                  the  origin of  a  pair  of  axes, the x-axis being the chord line and the y-axis being
                  perpendicular to the chord line, positive in the upward direction. The shape of the
                  section is then usually given as a table of values of x and the corresponding values of y.
                  These section ordinates are usually expressed as percentages of the chord, (lOOx/c)%
                  and (lOOy/c)%.

                  Camber
                  At any distance along the chord from the nose, a point may be marked mid-way
                  between the upper and lower surfaces. The locus of all such points, usually curved, is
                  the median line of the section, usually called the camber line. The maximum height of
                  the camber line above the chord line is denoted by S  and the quantity  lOOS/c% is
                  called the percentage camber of the section. Aerofoil sections have cambers that are
                  usually in the range from zero (a symmetrical section) to 5%,  although much larger
                  cambers are used in cascades, e.g. turbine blading.
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