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36                                                          1.  Introduction



         and  down  load  on  the  front  and  local  flow  angularity  with  respect  to  the  front
         wheels  and  wheel  wells,  which  results  in  a  high  drag  unless  this  flow  is  downed
         or  diverted.  Drag  considerations  also  apply  to  the  internal  flow  system  such  as
         the  radiator  and  air  conditioning  unit;  this  will  require  more  attention  as  the
         automobiles  become  more  compact.
            Under  actual  driving  conditions,  one  encounters  natural  wind,  that  is  not
         usually  in  the  direction  of  the  vehicle  motion.  This  results  in  an  asymmetric
         flow  with  respect  to  the  vehicle.  Viewed  from  above,  the  relative  wind  angle
         corresponds  to  what  is  known  in  aerodynamics  as  the  angle  of  sideslip;  this
         angle  results  in  force  components  in  the  direction  of  the  wing  and  normal  to
         it.  Resolution  of  these  components  in  the  car  axis  system  results  in  a  drag
         component  which usually  increases with the yaw angle and  a side force. The  side
         force  manifests  itself  in  a  negative  yawing  moment  about  the  center  of  gravity
         of  the  car,  which  tends  to  increase  the  yaw  angle.  The  cross-flow  sensitivity
         caused  by  the  yawing  moment  is  somewhat  reduced  by  the  forward  movement
         of the center  of gravity  in current  front-wheel-drive  models. However,  as  vehicles
         become  lighter  to obtain  better  fuel  economy, the problem  is bound to  reemerge.
         Simulation  of  the  natural  wind  profile  in  a  wind  tunnel  is  extremely  difficult
         because  the  wind  speed  most  likely  is  not  constant  and  the  wind  profile  is
         affected  by  terrain  features  or  buildings.


         1.5.1  Applications  of  CFD  to  Automobiles
         As  discussed  in  [29], there  is  a  large  effort  underway  in  applying  CFD  to  road
         vehicles with  different  degrees  of sophistication.  The  simplest  approach  is to  use
         panel methods  (Section  6.4,  [5]) and  calculate the  inviscid  flow around  the  body.
         Even  though  this  approach  does  not  provide  flow  separation,  vortex  flow  and
         drag  prediction,  it  can  be  useful  for  pin-pointing  possible  trouble  areas  such  as
         strong pressure gradients  and  ground  effects  on the  velocity  field.  This  approach
         is  more  suitable  to  study  generic  models  than  to  obtain  detailed  information
         on  a  given  design.  The  next  degree  of  sophistification  of  the  CFD  approach
         is  to  perform  inviscid  flow  calculations  with  vortex  wakes  added  to  the  panel
         method.  However,  in  order  to  predict  flow  separation  locations  and  the  initial
         vortex  strength,  boundary-layer  calculations  (Chapter  7)  must  be  performed.
         Provided  that  the  body  is  relatively  smooth,  that  is,  local  protuberances  and
         gaps  are  suppressed,  this  improved  panel-boundary-layer  approach  shows  defi-
         nite  promise  [29].
            The  next  degree  of  sophistication  of  the  CFD  approach  is  to  solve  the
         Reynolds-time-averaged  Navier-Stokes  (RANS)  equations.  The  success  of  this
         approach  varies;  for  example,  sometimes  drag  is  predicted  accurately  but  the
         pressure  distribution  does  not  agree  well  with  experiments  or  vice-versa.  Some
         of  the  discrepancies  are  due  to  inadequate  meshing  which  results  from  efforts
         to  reduce  computing  time.  However,  in  general  they  are  due  to  the  selection
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