Page 25 - Computational Fluid Dynamics for Engineers
P. 25

10                                                          1.  Introduction


              N
           0  r u su  U 1 KJ1N     c q
           9
           8  -  ,
           7          S 2
           6   _  1  / /     /
           5
           4       /   S3  /
           3
           2
           1
           0    /  |  ^S
            0 0  0.1  0.2  0.3  0.4  0.5  0.6  Fig.  1.9.  Effect  of suction  on amplification  rates
                              x/c         for  A  =  50°.


            As  expected,  it  is  more  difficult  to  avoid  the  crossflow  instabilities  for  A  =
         50°  because  of  the  high  sweep,  and  Fig.  1.9  shows  that  only  suction  levels
         corresponding  to  S2  and  S3  can  eliminate  transition.  However,  if  suction  is
         switched  off  at  5% chord  from  the  leading  edge, transition  occurs  even  if  a  high
         suction  level  of  v w  =  —0.0012  is  applied.  In  order  to  laminarize  the  flow,  it  is
         necessary  to  extend  the  range  of  suction  at  a  suction  level  of  v w  =  —0.0012  for
         the  first  10%  chord  of  the  wing,  case  S9,  leading  to  transition  at  x/c  — 0.48
         which  is  8%  upstream  of  the  separation  location.  Further  extensions  of  the
         suction  area  will eliminate  transition  before  separation  occurs.  From  the  results
         corresponding  to  S8 and  S9,  it  can  be  seen  that  the  growth  of the  disturbances
        can  be  prevented  only  in  the  range  over  which  suction  is  applied  for  A =  50°.
         Once  the  suction  is  switched  off,  the  disturbances  grow  with  almost  constant
         speed  and  cause  transition  to  occur  downstream,  indicating  the  difficulty  of
         laminarizing  the  flow  on  a  highly  swept-back  wing.



         1.2  Prediction  of he   Maximum      Lift  Coefficient
                             t
         of  Multielement    Wings

         In  aircraft  design  it  is very  important  to determine  the  maximum  lift  coefficient
         as accurately  as possible,  since this  lift  coefficient  corresponds to the stall  speed,
         which  is the minimum  speed at  which controllable  flight  can be maintained.  Any
         further  increase  in  angle  of  incidence  will  increase  flow  separation  on  the  wing
         upper  surface,  and  the  increased  flow  separation  results  in  a  loss  in  lift  and  a
         large  increase  in  drag.
            The  high-lift  system  of  an  aircraft  plays  a  crucial  role  in  the  takeoff  and
         landing  of  an  aircraft.  Without  high-lift  devices,  the  maximum  lift  coefficient,
         (Czjmax?  attainable  by a high-aspect-ratio  wing is about  five times the  incidence
         (in  radians)  at  incidences  up  to  stall.  Typical  values  of  (C^Jmax  are  commonly
         in  the  range  of  1.0  to  1.5.  The  addition  of  high-lift  devices  such  as  flaps  and
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