Page 288 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 281

Formula(s)

N h T b
m ¼ exp 3:8
V T

Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 1, Page: 31.

5.54 Euler number
Input(s)
3
r: Density of Fluid (kg/m )
2
Pu: Upstream Pressure (kg/ms )
2
Pd: Downstream Pressure (kg/ms )
V: Velocity of Flow (m/s)

Output(s)
Eu: Euler Number (dimensionless)

Formula(s)

1:0
Eu ¼ Pu PdÞ
ð
1 2
r V
2
Reference: Wikipedia.org.

5.55 Fanning friction factor (laminar flow)

Input(s)
D: Diameter (ft)
v: Velocity (ft/s)
r: Density (g/cc)
m: Viscosity of Fluid (cP)

Output(s)
f: Friction Factor (dimensionless)

Formula(s)

16 m
f ¼
D v r
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 6, Page: 181.