spc_blackbox_mem_solvent Subroutine

public subroutine spc_blackbox_mem_solvent(me, state, bcBuffer, globBC, levelDesc, tree, nSize, iLevel, sim_time, neigh, layout, fieldProp, varPos, nScalars, varSys, derVarPos, physics, iField, mixture)

This routine computes mole diffusion flux of the solvent at the membrance using black box model and then mass density at the membrane boundary from mole diffusion flux. Then equilibrium is set at the boundary which is computed from mass density and velocity

Black box model: \n - for solvent mole diffusion flux: $J^m_s (x^m,t) = \frac{t^m_s(x^m,t)}{F} i^m(x^m,t) + LW(IS^l(x^m,t)-IS^r(x^m,t))$

$J^m_s$ - mole diffusion flux of solvent through the membrane $t^m_k$ - transference number of solvent on the membrane (selective membrane property) $F$ - Faraday constant $LW$ - osmotic solvent transport coefficient $IS^l$ and $IS^r$ are ionic strength of electrolyte solution at the left and right side of membrance $IS^l(x^m,t)=\frac{1}{2}\sum^n_{k=1} z^2_k c^m_k(x^m,t)$ $c^m_k = \rho^m_k/m_k$ - molar concentration $i^m(x^m,t) = n^l_x_1 \cdot i^l(x,t) = - n^r_x_1 \cdot i^r(x,t)$ - orthogonal projection of the current density at the left $i^l$ and right $i^r$ side of the membrance. The normal vectors $n^l_1$ and $n^r_1$ point into the membrane surface $i(x,t) = F \sum_{j=1}^{n} z_j J^e_j(x,t)$ - local current density [A/m^3] $J^e_k = c^e_k(v^e_k - v) $ - mole diffusion flux of ion in the electrolyte In black box model: mixture averaged velocity at the membrane is assumed to be zero

This subroutine's interface must match the abstract interface definition boundaryRoutine in bc/mus_bc_header_module.f90 in order to be callable via fnct function pointer.

Arguments