Page 284 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 277

Formula(s)

2
L R R R R
t ¼ 2 1+ 1+ 2 ln 1 + 2
efflux
A L L L L
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 7, Page: 200.

5.44 Eckert number

Input(s)
V: Characteristic Velocity of Flow (m/s)
2
c p : Constant-Pressure Specific Heat of Flow (m/s K)
DT: Temperature Difference (K)

Output(s)
Ec: Eckert Number ¼ Advective Transport/(Heat Dissipitation Potential) (dimensionless)

Formula(s)

V 2
Ec ¼
c DT
p
Reference: Wikipedia.org.

5.45 Effective emissivity of a hole

Input(s)
e: Emissivity of the Cavity Walls (dimensionless)
f: Friction Factor (dimensionless)

Output(s)
e h : Emissivity of Hole (dimensionless)

Formula(s)

e
e ¼
h
e+f 1 eÞ
ð
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 16, Page: 493.

5.46 Effective thermal conductivity for a solid with spherical inclusions

Input(s)
T: Initial Temperature (K)
k eff : Effective Thermal Conductivity (J/ft s K)