Lithium sorption (DLE) simulation

1 brine feed -> loaded (Li-rich eluate) + raffinate (barren brine)

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Governing equations

The exact equations the solver works for a lithium sorption (dle) — the same math shown in the app's "Theory" panel, not a black box.

q_i=\dfrac{q_{max,i}\,b_i\,c_i}{1+\sum_j b_j\,c_j}\;\;(\text{competitive Langmuir})

\dot n_{i,loaded}=\min(q_i\,m_{sorbent},\,\dot n_{i,feed}),\quad \dot n_{i,raffinate}=\dot n_{i,feed}-\dot n_{i,loaded}

$q_i$: loading of ion i on the sorbent [mol/kg]
$q_{max,i}$: sorbent capacity for i [mol/kg]
$b_i$: Langmuir affinity [m³/mol] — Li⁺ selectivity over Na⁺/K⁺/Mg²⁺ lives here
$c_i$: ion concentration in the brine [mol/m³]
$m_{sorbent}$: sorbent mass [kg]
$\dot n_{i,loaded}$: ion captured [mol/s], capped by what the feed actually supplies

Parameters

sorbent_mass [kg, required]; optional isotherms {component: {q_max [mol/kg], b [affinity, m^3/mol]}} — defaults to a cited Li-selective/Mg-rejecting Al-sorbent screening isotherm on components 'li'/'mg'. Liquid-phase competitive Langmuir; 1 brine feed -> loaded (Li-rich eluate) + raffinate.

Example flowsheets that use it

Direct lithium extraction + LiOH crystallization

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Lithium sorption (DLE) simulation

Governing equations

Parameters

Example flowsheets that use it

Direct lithium extraction + LiOH crystallization

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