Page 545 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2

Flow of Fluids 499

22. Determine the proper slip factor depending upon the region found in
step 21.
a) For Region I: determine the slip factor determination. The slip factor
is found by the following formula:
(1 :CL" 1'

S = F, + F,N, + Fi

F, and F, are found in Figure 664.
F; = F, - FJN, where F, and F4 are found in Figure 6-64. For
annular flow N, is based on the wetted perimeter; thus, d = (dc + dJ.
Region I extends from zero N, and N up to Ne = L, + L,NLV, where
L, and L, can be found in Figure 6-6g
b) For Region 11:

F,, F, and F, can be found in Figure 6-63 where F, = 0.029Nd + F,.
Region I1 extends from the upper limit of Region I to the transition
zone to mist flow given by Nu = 50 + 36NLv.
c) For Region I11 (mist flow):
s=o

1
Therefore, H, =
1 + V'*/V,

This is valid for N > 75 + 84 N:'. Calculations for Region I1 from
Figure 6-63 if N, = go5 x lo-,, then

F, = 0.218, F, = 0.58, F, = 0.12
Fb = 0.029Nd + 0.58 = 0.029 x (2.62) + 0.58 = 1.34

9.03a98p + 1.34 = 4.88
s = (1 + 0.20)
[1+ (0.12 x 4.751)]*

23. Determine the slip velocity if in Region I or 11:

S
v, =
1.938(yJ0,)~'
It is Region 11; hence

4.88
v, = = 1.933
1.938(47.61/28)a6