Page 293 - Formulas and Calculations for Petroleum Engineering

286 Formulas and calculations for petroleum engineering

5.64 Flow of power law fluid through a narrow slit

Input(s)
W: Width (cm)
B: Breadth (cm)
L: Length (cm)
r: Density of Fluid (g/cc)
P O : Input Pressure (Pa)
P L : Output Pressure (Pa)
m: Power Law Constant (dimensionless)
n: Power Law Constant 2 (dimensionless)

Output(s)

w: Mass Rate of Flow (g/s)

Formula(s)

0 1
1
0 1
2

ð P P Þ B n
B 2 W B rC O L
w ¼ B C @ A
@ 1 A m L
+2
n
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 8, Page: 243.
5.65 Fluid kinetic force in conduits

Input(s)
R: Radius (ft)
L: Length (ft)
3
r: Density of Fluid (lb/ft )
v: Velocity of Fluid (ft/s)
f: Friction Factor (dimensionless)

Output(s)
F k : Force of Fluid Flow (N)

Formula(s)

2

F ¼ p R L r v f
k
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 6, Page: 178.

5.66 Fluid kinetic force in flow around submerged objects
Input(s)

R: Radius of Sphere (ft)
3
r: Density of Fluid (lb/ft )