Phase Diagram & Solidification Simulator — Lever Rule Cooling Interactive

Interactive 3D solidification laboratory: cool a binary alloy through the liquidus and solidus and read the lever-rule fractions.

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About the Phase Diagram & Solidification Simulator

Follow a prescribed cooling ramp through a synthetic binary solid-solution diagram. A crucible cross-section links solid fraction to a moving tie line and the composition of each phase.

What the simulator shows

• 3D scene parts: cutaway alloy crucible; liquid-phase particles; solid grains; thermocouple and cooling schedule; liquidus, solidus and moving tie line. • Controls: overall B composition (25–75 wt% B), prescribed cooling rate (5–25 K/s), start above liquidus (10–80 K). • Live readouts: prescribed temperature; equilibrium solid fraction; equilibrium liquid fraction; solid composition · when present; liquid composition · when present; composition balance residual. • Guided experiments: Slow cooling traversal; Change alloy composition; Fast imposed ramp. • Four tabs (visual laboratory, curves and measurements, experiments, learn and assess), a model-verification run, a timestamped event log and a trial report.

The model equations

Synthetic diagram: Ts(C)=600+4C; Tl(C)=700+4C °C Within the two-phase region: Cs=(T−600)/4; Cl=(T−700)/4 f_s=(C₀−Cl)/(Cs−Cl); f_l=1−f_s f_s Cs+f_l Cl=C₀. Single phase: present composition equals C₀.

Model limits and how to explore

Synthetic parallel-boundary diagram valid for the selected 25–75 wt% range, not a database for a named alloy. Equilibrium complete diffusion is assumed in both phases. Temperature is imposed without latent-heat coupling, segregation, nucleation undercooling, dendrite selection or thermal gradients. Absent-phase composition is displayed as C₀ for arithmetic bookkeeping. Try the preset experiments, then compare the live readouts with the equations.

Frequently asked questions

Does the lever rule use vertical temperature distances?

No, horizontal composition distances. A tie line joins phase compositions at one temperature.

Does this imposed cooling schedule include latent heat?

No. It samples equilibrium states at prescribed temperatures.

What does this simulator not model?

Synthetic parallel-boundary diagram valid for the selected 25–75 wt% range, not a database for a named alloy. Equilibrium complete diffusion is assumed in both phases. Temperature is imposed without latent-heat coupling, segregation, nucleation undercooling, dendrite selection or thermal gradients. Absent-phase composition is displayed as C₀ for arithmetic bookkeeping.

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