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Fluid flow and transport phenomena formulas and calculations Chapter 5 291
Output(s)
f: Friction Factor (dimensionless)
Formula(s)
1 e
f ¼ 0:875
3
e
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 6, Page: 191.
5.77 Galilei number
Input(s)
2
v: Characteristic Kinematic Viscosity (m /s)
L: Characteristic Length (m)
2
g: Gravitational Acceleration (m/s )
Output(s)
Ga: Galilei Number (dimensionless)
Formula(s)
1:0
3
Ga ¼ g L
v 2
Reference: wikipedia.org.
5.78 Gas absorption from rising bubbles for creeping flow
Input(s)
2
D AB :Diffusivity (cm /s)
v t : Terminal Velocity (cm/s)
D: Bubble Diameter (cm) (N A )
3
c A0 : Solubility (g/cm )
Output(s)
2
N A : Average Molar Absorption Rate (g mol/cm s)
Formula(s)
s ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
4 D AB v t
N ¼ c
A A0
3 p D
Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,
Chapter: 18, Page: 561.