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Fluid flow and transport phenomena formulas and calculations Chapter  5  259



             Formula(s)

                                                            3
                                                        g   L   r   r r Þ
                                                                 ð
                                                               l
                                                                       l
                                                    Ar ¼
                                                                2
                                                               m
             Reference: Wikipedia.org.
             5.2 Average number of collisions to reduce neutron energy
             Input(s)

                E o :  Initial Energy Level (eV)
                E:   Final Energy Level (eV)
                x:   Average Energy Decrement per Collision (dimensionless)


             Output(s)
                n:   Average Number of Collisions to Reduce Neutron Energy (dimensionless)



             Formula(s)


                                                           1      E o
                                                      n ¼      ln
                                                                   E
                                                           x
             Reference: Bassiouni, Z., 1994, Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4.
             Chapter 2, Page: 39.


             5.3 Average velocity of a falling film with variable viscosity
             Input(s)

                r:   Density (g/cc)
                                                2
                g:   Acceleration due to Gravity (cm/s )
                d:   Film Thickness (cm)
                b:   Inclination (rad)
                m:   Viscosity (cP)
                x:   Position in Film (cm)


             Output(s)

                v:   Velocity (cm/s)


             Formula(s)

                                                                  !
                                                         2

                                                                           x 2
                                                  r   g   d   cos bðÞ
                                            v ¼                       1
                                                        2   m              d
             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons.,
             Chapter: 2, Page: 48.
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