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Fluid flow and transport phenomena formulas and calculations Chapter  5  291



             Output(s)

                f:  Friction Factor (dimensionless)


             Formula(s)


                                                                 1 e
                                                      f ¼ 0:875
                                                                   3
                                                                  e
             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
             Chapter: 6, Page: 191.

             5.77    Galilei number

             Input(s)
                                                    2
                v:   Characteristic Kinematic Viscosity (m /s)
                L:   Characteristic Length (m)
                                              2
                g:   Gravitational Acceleration (m/s )

             Output(s)
                Ga:   Galilei Number (dimensionless)


             Formula(s)

                                                                  1:0
                                                                3
                                                       Ga ¼ g   L
                                                                  v 2
             Reference: wikipedia.org.

             5.78    Gas absorption from rising bubbles for creeping flow

             Input(s)
                                2
                D AB :Diffusivity (cm /s)
                v t :  Terminal Velocity (cm/s)
                D:   Bubble Diameter (cm) (N A )
                                    3
                c A0 :  Solubility (g/cm )

             Output(s)
                                                         2
                N A :  Average Molar Absorption Rate (g mol/cm s)

             Formula(s)

                                                       s ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

                                                           4   D AB    v t
                                                   N ¼                 c
                                                    A                   A0
                                                            3   p   D
             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
             Chapter: 18, Page: 561.
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