Page 314 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 307

Output(s)

τ rz : Momentum Flux Distribution (Pa)

Formula(s)
p p L
o
τ ¼ r
rz
2 L
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 2, Page: 50.

5.115 Momentum flux distribution of flow through an annulus
Input(s)

p o : Pressure at Initial Point (Pa)
p L : Pressure at Point L (Pa)
R : Radius (m)
L: Length (m)
r: Cylindrical Shell of Thickness (m)
2
1
K: Ratio of Inner Pipe’s Radius to Outer Pipe’s Radius (fraction) (m kg s 2 K )
Output(s)

τ rz : Momentum Flux Distribution (Pa)

Formula(s)

0 1
R B r 1 K 2
R C
τ ¼ p p Þ B C
ð
rz o L
2 L @ R 1 r A
2 ln
K
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 2, Page: 55.

5.116 Momentum flux profile of fluids in flow of two adjacent immiscible fluids

Input(s)
p o : Pressure at Initial Point (Pa)
p L : Pressure at point L (Pa)
b: Distance (m)
x : Distance in Cartesian Coordinate x (m)
L : Length (m)
m I : Viscosity of More Dense and Viscous Fluid (kg/(ms))
m II : Viscosity of Less Dense and Viscous Fluid (kg/(ms))

Output(s)

τ rz : Momentum Flux (Pa)