l_dlns_MB: Low-level function to calculate dimensionless numbers

In sshunsuke/MukherjeeBrill: Mukherjee & Brill model for gas-liquid two-phase flow in a circular pipe

Description

Return the dimensionless groups proposed by Duns & Ros (1963):

• NLv: Liquid velocity number

• NGv: Gas velocity number

• Nd: Pipe diameter number

• NL: Liquid viscosity number

• NGvSM: Slug/(Annular Mist) transition

• NGvBS: Bubble/Slug transition (Downflow)

• NLvBS_up: Bubble/Slug transition (Upflow)

• NLvST: Stratified (Downflow)

Usage

l_dlns_MB(vsG, vsL, ID, densityG, densityL,
          viscosityG, viscosityL, surfaceTension, angle)

Arguments

vsG	Superficial velocity of gas
vsL	Superficial velocity of liquid
ID	Pipe internal diameter
densityG	Density of gas
densityL	Density of liquid
viscosityG	Visosity of gas
viscosityL	Visosity of liquid
surfaceTension	Surface tension
angle	Pipe angle in radian (0 is horizontal flow)

Value

Data frame including dimensionless numbers (NLv, NGv, Nd, NL, NGvSM, NLvBS, NGvBS_up, and NLvST) and input values (vsG, vsL, D, densityG, densityL, viscosityG, viscosityL, surfaceTension, and angle)

References

• Mukherjee, H., and J. P. Brill. 1985. Empirical Equations to Predict Flow Patterns in Two-Phase Inclined Flow. International Journal of Multiphase Flow 11 (3)

• Duns, H. and Ros N. C. J. 1963. Vertical flow of gas and liquid mixtures in wells. In: 6th World Petroleum Congress

See Also

call_MB()

Examples

# This example is from Brill and Mukherjee (1999)
# "Multiphase Flow in Wells" p.21, p.46 (Example 3.2 and 4.8)
vsG <- 3.86 * 0.3048           # 3.86 ft/s
vsL <- 3.97 * 0.3048           # 3.97 ft/s
ID <- 6 * 0.0254               # 6 inch
densityG <- 5.88 * 16.01845    # 5.88 lbm/ft3  - (1 lbm/ft3 = 16.01845 kg/m3)
densityL <- 47.61 * 16.01845   # 47.61 lbm/ft3 - (1 lbm/ft3 = 16.01845 kg/m3)
viscosityG <- 0.016 / 1000     # 0.016 cp
viscosityL <- 0.97  / 1000     # 0.970 cp
surfaceTension <- 8.41 / 1000  # 8.41 dynes/cm
angle <- pi/2                  # 90 deg (upward)

#  NLv=11.87, NGv=11.54, NGvSM=350.8, NLvBS_up=18.40, NL=0.0118
l_dlns_MB(vsG, vsL, ID, densityG, densityL, viscosityG, viscosityL, surfaceTension, angle)

sshunsuke/MukherjeeBrill documentation built on Jan. 21, 2022, 6:13 p.m.