Page 256 - Formulas and Calculations for Petroleum Engineering

Production engineering formulas and calculations Chapter 4 249

Formula(s)

Q
v ¼
a
2
2:448 D D 2 p
o
Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
Houston, Texas, Page: 321.

4.99 Velocity of fluid in pipe

Input(s)

Q: Flowrate (gpm)
D i : Inside Diameter of Pipe (in.)

Output(s)

v p : Velocity of Fluid (ft/s)

Formula(s)

Q
v ¼
p
2:448 D 2 i

Reference: Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015.
Houston, Texas, Page: 219.

4.100 Viscous force acting on the rod over the narrow annular region

Input(s)
L: Length (ft)
μ: Viscosity (cP)
v o : Velocity (ft/s)
κ: Ratio of Inner to Outer Ratio (fraction)

Output(s)

F: Force (N)

Formula(s)

2 π L μ v o
F ¼
1
ln
κ

Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 2, Page: 65.