Institutt for petroleumsteknologi og anvendt geofysikk - NTNU
Institutt for petroleumsteknologi og anvendt geofysikk - NTNU
Institutt for petroleumsteknologi og anvendt geofysikk - NTNU
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Two-phase hom<strong>og</strong>eneous flow<br />
u = u G<br />
= u L<br />
u<br />
K =<br />
u<br />
G<br />
L<br />
= 1<br />
mG<br />
x =<br />
m + m<br />
α =<br />
x =<br />
G<br />
qG<br />
q + q<br />
G<br />
L<br />
L<br />
α<br />
ρL<br />
α + ( 1−α)<br />
ρ<br />
G<br />
α =<br />
x<br />
ρG<br />
x + ( 1−<br />
x)<br />
ρ<br />
L<br />
−<br />
dp<br />
dz<br />
dp<br />
f<br />
=<br />
dz<br />
dp<br />
+<br />
dz<br />
a<br />
dpg<br />
+<br />
dz<br />
dp f<br />
dz<br />
2<br />
fG<br />
=<br />
2ρd<br />
2<br />
dp a<br />
d(<br />
G / ρ)<br />
=<br />
dz dz<br />
dp g<br />
= gρ sinθ<br />
dz<br />
Exact equation <strong>for</strong> mixture density<br />
ρ = αρ + ( 1−α)<br />
G<br />
ρ L<br />
Gd<br />
Re =<br />
μ<br />
Empirical equation <strong>for</strong> hom<strong>og</strong>eneous mixture viscosity, commonly used in pressure drop<br />
calculations (exact equation not available)<br />
78
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