Page 481 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2
P. 481

Flow  of  Fluids   437

                    3.  Turbulence level



                                                                                (6-69)

                    4.  Dimensionless inclination (slope parameter)



                                                                                (6-70)


                  Step 2.  Flow Regime Map
                    The parameter Y is used to select the flow regime map to be used from Figure
                  6-43. This figure presents nine flow regime maps (a to i) for a wide range of
                  dimensionless inclinations Y in the range of  interest.

                  Step 3.  Flow Regime Selection
                    The flow regime maps are prepared in Froude number-Martinelli parameter-
                  turbulence level (Fs-X-T).  Four flow regimes are noted on the maps, doing with
                  the three transition boundaries. Regimes are: stratified, slug, annular and bubbly.
                  The flow conditions for  the current pipe  segment are located using the  X,Fg
                  coordinates. If the located point is in the region labeled “stratified,” then the flow
                  regime is indeed stratified. If the located point is outside of the stratified region,
                  then  determine whether the  point  is  to  the  left or  right  of  the  vertical line
                  representing the transition between annular and slug flow regimes. If the point
                  X,Fg is on the right side of  the vertical line, X,T coordinates are necessary to use.

                                       Rlsers and Wells (e = SOo)

                    There  are three  possible flow regimes, including annular, slug and bubbly,
                  and two regime transitions.

                  Step 1. Dlmensionless Parameters
                    For this regime map, three dimensionless parameters are calculated. The para-
                  meters include dimensionless groups, which represent a balance between buoyancy,
                  inertial and surface tension forces. These are called Kutateladze numbers.


                                                                                (6-71)




                                                                                (6-72)

                                                                   (text continued on page  447)
   476   477   478   479   480   481   482   483   484   485   486