Page 285 - Formulas and Calculations for Petroleum Engineering

278 Formulas and calculations for petroleum engineering

k o : Thermal Conductivity of Solid (J/ft s K)
R: Effective Radius (ft)
r: Distance from Centre (ft)
A: Temperature Gradient (K/ft)
Y: Position of Substance from Centre (rad)

Output(s)

T r : Temperature at R (K)

Formula(s)

! !
3
k eff k o R
T ¼ T+ 1 A r cos YðÞ
r
k +2 k r
eff o
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 11, Page: 371.

5.47 Efflux time for draining a conical tank

Input(s)
z 0 : Vertical Coordinate at the Top of the Cone (m)
z 2 : Vertical Coordinate just Above the Datum Plane for Potential Energy (m)
2
g: Gravitational Acceleration (m/s )

Output(s)

t efflux : Efflux Time (s)

Formula(s)

2 0:5
1 z z
t ¼ 0 2 0
efflux
5 z g
2
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 7, Page: 229.

5.48 Ekman number
Input(s)

D: Characteristic Length Scale (m)
2
v: Kinematic Eddy Viscosity (m /s)
o: Angular Velocity of Plenatory Motion (1/s)
W: Latitude (degree)

Output(s)

Ek: Ekman Number (dimensionless)