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Fluid flow and transport phenomena formulas and calculations Chapter  5  301




                r:   Density (ppg)
                z:   Distance from Input Side (ft)
                b:   Inclination (rad)
                m:   Viscosity (cP)

             Output(s)

                w:   Mass Flow rate (lb/s)

             Formula(s)

                                                            3

                                                ð
                                             2   P  P Þ   B   r   2   p   z   sin bðÞ
                                                      L
                                                  o
                                        w ¼                                      L   m
                                                             3
             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
             Chapter: 2, Page: 72.
             5.101 Mass rate of flow

             Input(s)
                                                2
                g:   Acceleration due to Gravity (cm/s )
                r:   Density (g/cc)
                d:   Film Thickness (cm)
                                 2
                v:   Kinematic (cm /s)
                W:    Width (cm)

             Output(s)

                w:   Mass Rate of Flow (g/s)

             Formula(s)

                                                                 3

                                                          r   g   d   W
                                                      w ¼
                                                              3   v
             Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
             Chapter: 2, Page: 47.

             5.102 Mass rate of flow in a squared duct

             Input(s)
                P o :  Input Pressure (psi)
                B:   Duct Boundary (ft)
                r:   Fluid Density (g/cc)
                m:   Viscosity (cP)
                L:   Length (ft)
                P L :  Output Pressure (psi)

             Output(s)

                w:   Mass Rate in Square Duct (g/s)
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