Page 306 - Formulas and Calculations for Petroleum Engineering

Fluid flow and transport phenomena formulas and calculations Chapter 5 299

Output(s)

M: Mach number (dimensionless)

Formula(s)
v
M ¼
vs

Reference: Wikipedia.org.

5.96 Manning formula

Input(s)
k: Conversion factor of (L1/3)/T, 1 for SI ((m1/3)/s)
Rh: Hydraulic radius (m)
3
S: Slope of the hydraulic grade line or the linear (kg/m )
n: Manning coefficient (dimensionless)

Output(s)

V: Cross-sectional average velocity (m/s)

Formula(s)

1
2 S 2
V ¼ k Rh 3
n

Reference: Wikipedia.org.

5.97 Marangoni number

Input(s)
SG: Change in Surface Tension per unit Temp (N/m/K)
L: Characteristic length (m)
dT: Speed of sound in the medium (K)
2
a: Thermal diffusivity (m /s)
s: Dynamic viscosity (kg/(s m))

Output(s)

Mg: Marangoni number (dimensionless)

Formula(s)

dT
Mg ¼ SG L
a s

Reference: Wikipedia.org.