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Fluid flow and transport phenomena formulas and calculations Chapter  5  289



             Output(s)

                F:   Force (N)

             Formula(s)

                                                      F ¼ 4   p   m   R   v ∞


             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
             Chapter: 2, Page: 60.

             5.72    Friction factor for creeping flow around a sphere

             Input(s)
                D:   Diameter (ft)
                v:   Velocity of Fluid (ft/s)
                r:   Density of Fluid (g/cc)
                m:   Viscosity of Fluid (cP)

             Output(s)

                f:  Friction Factor (dimensionless)

             Formula(s)


                                                             24   m
                                                         f ¼
                                                            D   v   r

             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
             Chapter: 6, Page: 186.


             5.73    Friction factor in flow around submerged objects
             Input(s)
                                              2
                g:   Gravitational Acceleration (ft/s )
                v:   Fluid Velocity (ft/s)
                D:   Diameter (ft)
                r:   Fluid Density (g/cc)
                r sph :  Density of Sphere (g/cc)


             Output(s)
                f:  Friction Factor (dimensionless)


             Formula(s)


                                                       4   g   D  r sph   r
                                                  f ¼      2
                                                        3   v       r

             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
             Chapter: 6, Page: 179.
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