Equilibrium Theory — Chromatography

Equilibrium Theory of Chromatography

Single-component Riemann problem (Rhee–Aris–Amundson): envelope construction on the isotherm → simple waves and shocks. Hover the physical plane for profiles; click to pin.

Column length L (m) Interstitial velocity v_i (m/s) Voidage ε (–) Initial state c_I (mol/L) Feed state c_F (mol/L)

Axes

Isotherm q = f(c)

RH ↔ c helper (water vapour)

T (°C) RH initial (%) RH feed (%)

Physical plane

hover to explore · click to pin

Isotherm & envelope

Column profile

Breakthrough curve

Equilibrium theory: ∂c/∂τ + σ(c) ∂c/∂ξ = 0 with σ(c) = 1/(1 + ν f′(c)), ν = (1−ε)/ε. Loading uses the lower convex envelope of f(c), desorption the upper concave envelope (Oleinik); envelope arcs = simple waves, chords = shocks.
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