Multiphase CFD case study

Rectangular-Slot Liquid–Gas Jet in OpenFOAM

A phase-aware OpenFOAM study of how a rectangular-slot liquid–gas interface deforms under aerodynamic forcing across an early-time VOF window.

The contribution is a reproducible bridge from explicit CPU/MPI numerics to native-time phase fields, mixture-flow diagnostics, and topology and morphology measures across all 25 recorded states.

Research question and numerical setup

How does the interface respond after leaving a non-circular slot?

The calculation follows that response through native-time phase fields, mixture-flow diagnostics, cross-sections, and connected morphology while keeping the interpretation tied to the available early-time window.

Physical problem and nondimensional regime

The scaled high-density-gas case uses a gas-density factor of 20, a 12 m/s liquid inlet speed, and an estimated gas-side Weber number We_g = 53.3333. These parameters increase interface forcing while keeping the interpretation tied to this numerical configuration.

Coordinate and phase convention

Flow proceeds in +z; x and yare transverse. alpha.water is liquid fraction, 1-alpha.water is its derived two-phase gas complement, and U is mixture velocity.

Complete computational domain, mesh-point context, and 2 by 1 millimetre rectangular slot
Complete VTK bounds, internal duct, external domain, slot plane, flow direction, mesh resolution, and slot geometry.
OpenFOAM case setup and execution details
DomainInternal duct z = −15 to 0 mm; external domain 12 × 8 × 60 mm
Rectangular slot2 × 1 mm at z = 0; 16 × 12 cells across the slot
Mesh661,248 documented hexahedral cells; 684,983 VTK points
SolverOpenFOAM v2406 interFoam; incompressible two-phase VOF
ModelLaminar configuration with alpha.water as liquid volume fraction
Time controlAdaptive step, max Δt = 2.083 × 10⁻⁶ s; max Co and alpha-Co = 0.3
NumericsEuler time integration; linearUpwind momentum; van Leer alpha advection; MULES and PIMPLE
ExecutionLinux workstation, CPU/MPI, four subdomains; no GPU solver path
AnalysisPython, VTK, Matplotlib, ffmpeg, and headless Blender
Native output25 states at 0.0005 s intervals from 0 to 0.012 s

Time evolution

Every native state, with time semantics preserved.

The evolution contains 25 discrete native states from 0 to 0.012 s. Each state is held for legibility; no temporal geometry interpolation is used.

0 s0.0005 s0.001 s0.0015 s0.002 s0.0025 s0.003 s0.0035 s0.004 s0.0045 s0.005 s0.0055 s0.006 s0.0065 s0.007 s0.0075 s0.008 s0.0085 s0.009 s0.0095 s0.01 s0.0105 s0.011 s0.0115 s0.012 s
All 25 inventoried native alpha.water=0.5 states, presented as labeled discrete holds at 24 fps with no temporal geometry interpolation.
View the full 25-state static figure
Twenty-five panels showing the liquid-fraction interface at every native time
The same sequence as a full-resolution static figure, so time labels remain readable without video playback.

Phase and flow diagnostics

Phase semantics stay attached to every derived product.

Liquid fraction, its derived gas complement, and mixture velocity are analyzed separately so each figure retains its field meaning, threshold, units, and native time.

Liquid fraction, derived gas complement, and phase-conditioned mixture-speed summaries over native time
alpha.water is liquid fraction. The gas series is the derived complement; both conditioned speed series use mixture U.
Mixture-velocity magnitude and direction at three native times
Magnitude and direction of instantaneous mixture U at 0.002, 0.006, and 0.012 s.
View the secondary field-gallery video
Controlled field gallery. Full-resolution figures below carry the labels needed for mobile and close reading.

Phase-rich seeded instantaneous mixture-U streamlines

At the native 0.006 s state, connected curves are seeded deterministically in gas-rich (alpha.water ≤ 0.1) and liquid-rich (alpha.water ≥ 0.9) regions. They are instantaneous mixture-U curves conditioned on seed location.

Connected instantaneous mixture-velocity streamlines seeded in a gas-rich region
Gas-rich seeding at 0.006 s: 24 connected mixture-U curves with full-domain and local views.
Connected instantaneous mixture-velocity streamlines seeded in a liquid-rich region
Liquid-rich seeding at 0.006 s: 24 connected mixture-U curves with full-domain and local views.

Morphology and representative results

One connected interface remains dominant across the recorded window.

Surface metrics track area proxy, axial extent, component count, and largest-component dominance at every native state. The largest component retains a minimum face fraction of about 0.979 while the interface deforms over the early-time sequence.

Oblique view of the rectangular-slot liquid-fraction surface at the native 0.0055 second state
A frozen alpha.water=0.5 face mesh at the exact native 0.0055 s state. Smooth motion comes from the camera path; the reconstruction adds no CFD resolution or physics.
Side-oblique view of the liquid-fraction surface and rectangular nozzle
Side-oblique context for the rectangular slot, chamber, and connected interface surface.
Close view of the deformed liquid-fraction surface near the downstream end
A closer view of the same frozen native state, retaining the face-based surface detail.
Interface surface-area proxy, axial extent, component count, and largest-face fraction over 25 native states
Topology and morphology diagnostics across all native states. The largest component retains a minimum face fraction of about 0.979.
View the supporting axial and transverse sections
Axial liquid-fraction and transverse mixture-velocity cross-sections at selected times and stations
Axial phase and transverse mixture-velocity sections at native times 0.002, 0.006, and 0.012 s.

Related work

The case informs VisualOpenFOAM while remaining a separate scientific study.

Read-only native fields move through phase-aware checks, descriptive analysis, and deterministic figure or scene plans. Those requirements guide the adjacent CLI without changing the CFD case or its scientific interpretation.

Scientific basis

The 25 native states stay tied to liquid fraction, its derived gas complement, instantaneous mixture velocity, thresholds, units, and coordinate conventions.

Related software

This case supplied requirements and representative external outputs for the adjacent Linux/headless workflow. VisualOpenFOAM has not yet run its real-case reader on these data.

Read-only CFDnative fields and times
Phase-aware analysisphase, flow, cuts, morphology
Figures and morphologylabels, cuts, topology, media
Related software requirementsfor the separate CLI workflow

Interpretation and limits

Early-time interface deformation with clear physical limits.

The current laminar grid and 0.012 s window support phase-aware fields, connected-interface morphology, and reproducible visualization; they do not establish validated atomization, resolved breakup or spray, DNS/LES, production CFD, experimental agreement, or stationarity. Higher-resolution physics would require a separate HPC or adaptive-mesh campaign with planned sensitivity and validation work.