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94      Aeronautical Engineer’s Data Book
                   z
                             q R
                                 qθ
                               qϕ


                      ϕ   R


                                      y
                    θ    r
       x
      Fig. 5.12  Spherical co-ordinates for axisymmetric flows


      into a fluid flow. Figure 5.12 shows the layout
      of spherical co-ordinates used to analyse these
      types of flow.
        Relationships between the velocity compo­
      nents and potential are given by:
             ∂ 
         1
   ∂ 
      1  ∂
           =      q =              q =
        q R
             ∂R       R sin     ∂      r   ∂
      5.9 Drag coefficients
      Figures 5.13(a) and (b) show drag types and
      ‘rule of thumb’ coefficient values.



       Shape           Pressure drag   Friction drag
                        (%)            (%)
                       D P            D f
       U
                         0            100
       U
                       ≈ 10           ≈ 90

       U
                       ≈ 90           ≈ 10
       U
                       100              0

      Fig. 5.13(a)  Relationship between pressure and fraction
      drag: ‘rule of thumb’
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