Equilibrium Theory — Binary Systems

Equilibrium Theory — Coupled Systems (2×2)

Riemann problems for systems of two conservation laws: isothermal binary chromatography (adiabatic single-component mode coming next). Constant-selectivity Langmuir uses the exact straight-line hodograph construction; every isotherm also gets an independent high-resolution numerical reference solution. Hover the physical plane; click to pin.

Mode

Column length L (m) Interstitial velocity v_i (m/s) Voidage ε (–)

Axes

c_1,I (mol/L) c_2,I (mol/L) c_1,F (mol/L) c_2,F (mol/L) Isotherm model

Physical plane

hover to explore · click to pin

Hodograph plane (c₂, c₁)

Fluid-phase profile

Breakthrough curves

Adsorbed-phase profile

Engine cross-check

System: (I + ν ∂q/∂c) ∂c/∂τ + ∂c/∂ξ = 0, ν = (1−ε)/ε; two characteristic families σ_k = 1/(1+νλ_k). Constant-selectivity Langmuir: exact straight-line hodograph (h-transformation, Rhee–Aris–Amundson); wave and shock images coincide.
General isotherms: conservative 2nd-order MUSCL reference solution in the self-similar variable s = ξ/τ (numerically generated hodograph). Works offline — single file, share freely. Built by Arvind Rajendran with Claude Code · v1.0 · July 2026 · educational & research use · no warranty — use at your own risk
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