Page 272 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 265

5.15 Combined momentum flux tensor

Input(s)
2
r_: Convective Momentum Flux (kg/m s )
2
p: Molecular Momentum Flux (kg/m s )

Output(s)
2
ø: Sum of the Momentum Flux Tensors (kg/m s )

Formula(s)

ø ¼ p + r_

Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 1, Page: 36.

5.16 Combined radiation and convection

Input(s)
2
A i : Area (ft )
3 4
s: Stephen Boltzmann Constant (lb/h R )
e i : Emissivity (fraction)
T i : Maximum Air Temperature at the Water Surface (R)

Output(s)

Q: Heat Transfer Rate (Btu/s)

Formula(s)

Q ¼ s A e T 4
i i i

Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 16, Page: 505.

5.17 Compressible flow in a horizontal circular tube
Input(s)

p 0 : Pressure at Initial Point (Pa)
p L : Pressure at Point L (Pa)
R: Radius (m)
m: Viscosity (kg/(ms))
L: Length (m)
3
r avg : Average Density (kg/m )

Output(s)

o: Mass Rate of Flow (kg/s)