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TWO-PHASE FLOW

PhaseWorks

Explore mixture properties, hydraulic losses and flow regimes.

Calculates the frictional pressure loss of a two-phase (or single-phase) stream in a horizontal line with fittings and valves, and places it on the Baker flow-regime map.

Prices

RunsPrice
Every run1 credit
  • A run that fails because of its inputs, doesn't converge or runs out of time is free.
  • Cancelling a run is free, before or after it starts.
  • A fault on our side is never charged: the run is tried again automatically.

A credit costs 8p to 10p, depending on the pack. Credits don't expire. Packs and prices

Inputs and results

You enter

  • The stream: a ThermoWorks mixture, a pure fluid at saturation, or the workbook's saved snapshot; measured phase properties can replace calculated ones
  • Flow rate, temperature and pressure
  • Bore, length, roughness, fittings, valves (Cv) and extra resistance

You get

  • Two-phase pressure gradient, total loss and equivalent length
  • Each phase's own loss and the two-phase multiplier
  • The stream's point on the Baker map and its flow regime

Example: Two-phase flow

TWO PHASE

The workbook's line with the same light-hydrocarbon mixture: 6,000 kg/h at 170 K and 11.01325 bar absolute through 128 m of 102.26 mm bore pipe.

The starting case every new PhaseWorks case opens on, run by the engine on our servers and stored (engine 1.0.0 · data 1.0.0). Nothing is calculated in your browser, here or in the calculator. Exports and the other tools of a run need an account.

TOTAL PRESSURE LOSS2.56792bar
VAPOUR MASS FRACTION59.02% of total mass
FRICTION GRADIENT0.299883bar / 100 m

Baker flow map

X 7.248 / Y 31,882
0.11101001000100001001,00010,000100,000ANNULARBaker X · logarithmic scaleBaker Y

Operating point and regime from the calculation, on Baker’s axes; the regions’ boundaries are not drawn.

LIQUID / GAS →
Regime illustration · not calculated holdup

Live property transfer · 6,000 kg/h at -103.15 °C, 11.01325 bar absolute. Liquid density: PR liquid-root fallback.

Mixture & phase properties
PropertyLiquidVapour
Density · kg/m³616.38130223414.903500138
Viscosity · cP0.1293457250.007162785
Phase mass flow · kg/h2,458.5912592323,541.408740768
Molecular weight · g/mol29.74779169416.575448835
Surface tension · mN/m13.502650558—
Compressibility Z—0.866581498
HEM density · kg/m³24.833268
Hydraulic detail
QuantityResult
Liquid superficial velocity · m/s0.13491
Gas superficial velocity · m/s8.03675
Liquid / gas Reynolds number65,733 / 1.710e+6
Liquid / gas Darcy factor0.021545 / 0.016925
Fully turbulent factor fT0.016616
Fitting K · inventory + other fitting K4.253574
Combined Cv equivalent K123.706999
Equivalent pipe length · m856.3058
Actual straight length · m128
Phase composition & balance
Componentz · feedx · liquidy · vapour
METHANE0.820.4544790.961395
ETHANE0.070.228050.008862
PROPANE0.0350.1248340.000249
n-BUTANE0.0150.0537620.000006
ISOBUTANE0.0080.0286620.000007
n-PENTANE0.0050.0179250
NITROGEN0.020.00320.026499
CARBON DIOXIDE0.0270.0890870.002983

Vapour mole fraction β = 0.721069. Maximum component mole-balance residual: 6.94e-18.

Calculation scope & data coverage

CARBON DIOXIDE: T is below its pure-component freezing point (216.58 K); no solids model.

Pure liquid density is undefined for at least one dissolved supercritical component. Entire liquid density uses Peng–Robinson (kij = 0), rather than dropping its mass.

Liquid-density PR fallback has one real physical root; liquid character is not independently confirmed.

12 component/property correlations are outside their temperature ranges. Results include extrapolation; inspect the coverage list.

Pressure loss exceeds 10% of inlet absolute pressure; constant-property hydraulics needs a segmented pressure-dependent check.

Out-of-range correlations at 170 K
PROPANE: muL 240–418 K
n-BUTANE: muL 180–425 K
ISOBUTANE: muL 190–408 K
NITROGEN: psat 63.15–123.15 K
NITROGEN: density 63.15–126.1 K
NITROGEN: muL 63–125 K
NITROGEN: sigma 63.15–126.1 K
CARBON DIOXIDE: psat 216.59–296.59 K
CARBON DIOXIDE: density 216.58–304.19 K
CARBON DIOXIDE: muL 219–304 K
CARBON DIOXIDE: sigma 216.58–304.19 K
CARBON DIOXIDE: muG 195–1500 K

Methods

  • Each phase taken to flow alone through the line, with friction and fittings from Crane's Technical Paper 410
  • The two-phase loss from a Lockhart–Martinelli-type liquid multiplier (the workbook's fit)
  • The flow regime from Baker's map (Oil and Gas Journal, 1954)

How every calculator is tested: Methods and validation.

Limits

  • Horizontal lines only: no elevation, acceleration or heat transfer
  • No slip or holdup: the regime is a classification and does not change the loss
  • Properties are constant along the line

Results are screening estimates from the methods described. A competent engineer must check them before relying on them in design, safety or operating decisions.

How it is checked

Parity with the original
The engine is a port of the original standalone calculator, and reproduces it on 820 generated cases: every quantity within 10⁻¹² relative.
Validation against reference data
No published reference cases yet.
The original's own checks
Reproduces the workbook's saved case: the Baker point, gradient, loss and regime.