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1.5  Aerodynamics  of  Ground-Based  Vehicles                          35



         the  vehicle.  There  are,  of  course,  exceptions;  this  is  obvious  from  the  flight  of
         VSTOL-aircraft  and  helicopters.
            The  influence  of  aerodynamic  forces  depends  strongly  on  the  vehicle  speed
         and  weight.  For  example,  automobile  aerodynamics  is  not  of  great  concern  in
         traffic  on city streets, and  a heavy train operator  usually ignores the side wind  ef-
         fects.  While  the  aerodynamics  of motor  vehicles has  been  investigated  for  many
         years,  it  did  not  attain  prominence  until  improved  roads  allowed  for  greater
         speeds  and  fuel  crises  inspired  demand  for  improved  fuel  economy.  Early  at-
         tempts  to  streamline  vehicles  were  mostly  based  on  experience  gained  from
         aircraft  aerodynamics,  and  the  resulting  designs  were  not  always  practical  or
         accepted  by the  general  public. As early  as the  1920's,  it  was demonstrated  that
         a  drag  coefficient  of  0.15  was  attainable  under  ideal  conditions,  which  should
         be compared  to the  then-prevalent  box-design  drag  coefficient  of about  0.8.  Im-
         provements  have  been  slow  in  coming,  and  the  drag  coefficient  of  post-World
        War  II  automobiles  remained  around  0.5  until  the  fuel  crises  in  the  1970's.  As
         some critics  claim, the  reduction  from  0.8 to  around  0.5 was more due to  styling
        than  conscious aerodynamic  development.  Since that  time,  however,  drag  coeffi-
        cients have been reduced to around  0.30 by systematic attention to  aerodynamic
        details,  and  there  is promise  for  further  improvements.  Automobile  aerodynam-
        ics,  however,  will  always  be  subject  to  constraints  imposed  by  utility,  styling,
        and  public  acceptance.
           The  principal  tool  used  to  study  automobile  aerodynamics  has  been  the
        wind  tunnel.  Testing  began  with  small-scale  models  in  aeronautical  facilities
        and  has  evolved  into the  use  of  special  full-scale  wind  tunnels  run  by the  larger
        automobile  manufacturing  companies.  Testing  in  a  wind  tunnel  creates  its  own
        problems  because  the  boundary  layer  on  the  ground  plane  interferes  with  the
        simulation  of  the  actual  flow  conditions.  Several  remedies  have  been  proposed
        such  as  reflection  models,  tangential  blowing,  a  moving  ground  plane,  etc.,  of
        which  the  moving  ground  plane  provides  the  best  correlations  with  road  tests.
         Since  flow  details  underneath  the  vehicle;  and  in  the  wheel  well  are  related  to
        drag,  a  refined  test  may  include  provisions  for  spinning  the  wheels,  which  adds
        a  further  complication.
           In  general,  the  drag  of  a typical  passenger  automobile  is essentially  pressure
        drag  or  is  due  to  local  flow  separation.  For  this  reason,  the  shape  of  the  sharp
        edges  from  which  the  flow  separates  has  a  definite  effect  on  drag.  Reference
         [29]  gives  an  example  of  a  "detail-optimization"  which  reduced  the  drag  coef-
        ficient  from  0.48  to  0.32  without  noticeable  changes  in  the  appearance  of  the
         automobile.  Since an  automobile  is basically  a blunt  body,  flow around  its  longi-
        tudinal  edges sets up vortical  flow and  causes vortex  drag that  is not  necessarily
         associated  with  lift  or  induced  drag,  although  well-rounded  shapes  resembling
        half  bodies  have  considerable  lift  and  consequently  induced  drag.  The  flow  un-
        derneath  the  car  has  a  tendency  to  diverge  to  the  sides,  creating  low  pressure
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