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66  Air  cushion theory

                2.4  Static  air  cushion characteristics   on a water   surface


             Static  hovering  performance   of  SES on water

             The various  shapes  of mid-sections of  sidewalls are  shown in Fig.  2.16; a typical  one
             is figure (a), namely sidewalls with perpendicular  inner and  outer walls near the water
             surface.  The  craft  total  weight  is  supported  by  a  combination  of  cushion  lift  and
             buoyancy of  the  sidewall, which can  be expressed  as
                                                                                    J
                                                                                   |
                                          W  — p cb c  +  2y Qy w                (2.27)
                                          TT/  „  O  I  1 J7                    i^ "> "7'\
                                                                  2
             where  Wis  the  craft  weight (N), p c  the cushion  pressure  (N/m ),  S c  the cushion  area
                2                                                     3
             (m ),  V G the  volumetric displacement  provided  by  each  sidewall (m )  and  y w  the  spe-
                                    3
             cific weight of  water (N/m ).
               According  to Archimedes'  principle, the relationship  between cushion  beam,  inner
             and  outer drafts and width of  sidewalls with different  shape can be determined  by the
             following expressions and  those  in Fig.  2.16:
                                                                                (2.28)
                                               S c  = B cl c
                                                t                               (2.29)
                                           t 0  ~ {  = p c/y w
                   t  is the  outer  draft  of     t  the  inner  draft  of      /  the
             where 0                   sidewalls (m), {              sidewalls (m), c
             cushion length (m), B c the cushion beam  (m) and  w the calculating width of sidewalls
             (m).  The inner  sidewall draft gradually reduces as lift  power  is increased  and  cushion
             air  will  leak  from  under  both  sidewalls once  the  cushion  pressure  exceeds  the  inner
             sidewall  draft  (Fig.  2.17),  as  well  as  under  the  bow  and  stern  seals,  and  form  the
             plenum  type  of  craft,  similar  to  the  craft  model  '33'  of  HSEI  and  the  US  Navy
             SES-100B.  The  drag  of  this  type  of  craft  decreases  dramatically  as  lift  power  is
             increased.
               The outer  draft  of  sidewalls, t 0, is dependent upon  the  lift  fan(s) flow rate and  the
             inner  draft, , is dependent  upon  the  cushion  pressure p c.  The  air  leakage  from  the
                        / ;

                                            (a)










                                            (c)                        (d)







             Fig.  2.16  Sidewall thickness on various sidewall  configurations.
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