Page 295 - Formulas and Calculations for Petroleum Engineering

288 Formulas and calculations for petroleum engineering

5.69 Free batch expansion of a compressible fluid

Input(s)
2
S 2 : Output Surface Area (ft )
P 1 : Input Pressure (psi)
r 1 : Density (ppg)
g: Adiabatic Constant (dimensionless)

Output(s)

w max : Discharge Rate (lb/s)

Formula(s)

0 1
g +1
0 0 11 0:5

2 g 1
w max ¼ S @ @ P r g @ AA C
B
1
2
1
A
g +1
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 15, Page: 474.
5.70 Free convection heat transfer from a vertical plate
Input(s)
C: Constant of Convection (dimensionless)
Gr: Grashof Number (dimensionless)
Pr: Prandtl (dimensionless)
k: Thermal Conductivity (J/m s K)
H: Height (ft)
T 0 : Outer Temperature (K)
T i : Inner Temperature (K)

Output(s)
2
Q: Average Heat Transfer Flux (J/m s)

Formula(s)

0:25
C k T T Þ ð Gr PrÞ
ð
o i
Q ¼
H
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 11, Page: 348.
5.71 Friction drag

Input(s)

m: Viscosity (cP)
R: Radius (ft)
v ∞ : Velocity as r Goes to Infinity (ft/s)