MaximaLabs

Fluosilicic acid recovery (F scrubber) simulation

gas + water -> cleaned gas, H2SiF6 product, silica, excess water

Governing equations

The exact equations the solver works for a fluosilicic acid recovery (f scrubber) — the same math shown in the app's "Theory" panel, not a black box.

ηF=1−(1−e)N\eta_F = 1 - (1 - e)^{N}
SiF4+2 HF→H2SiF6SiF_4 + 2\,HF \rightarrow H_2SiF_6
3 SiF4+2 H2O→2 H2SiF6+SiO23\,SiF_4 + 2\,H_2O \rightarrow 2\,H_2SiF_6 + SiO_2
wFSA=m˙H2SiF6m˙H2SiF6+m˙H2O,prodw_{FSA} = \frac{\dot m_{H_2SiF_6}}{\dot m_{H_2SiF_6} + \dot m_{H_2O,prod}}
yH2O,out=Psat(T)Py_{H_2O,out} = \frac{P_{sat}(T)}{P}
Q=∑outFihi−∑inFihi,hi=ΔHf,i∘+∫298.15Tcp,i dTQ = \sum_{out} F_i h_i - \sum_{in} F_i h_i,\quad h_i = \Delta H_{f,i}^{\circ} + \int_{298.15}^{T} c_{p,i}\,dT
ηF\eta_F
fluorine removed from the gas [-]
ee
removal per stage [-]
NN
absorber stages [-]
wFSAw_{FSA}
product strength, mass fraction H2SiF6 [-]
m˙H2SiF6\dot m_{H_2SiF_6}
fluosilicic acid formed [kg/s]
m˙H2O,prod\dot m_{H_2O,prod}
water in the product [kg/s]
yH2O,outy_{H_2O,out}
water mole fraction in the cleaned gas [-]
Psat(T)P_{sat}(T)
water vapour pressure at the scrubber temperature [Pa]
PP
gas pressure [Pa]
QQ
duty to hold the scrubber temperature [W]
FiF_i
molar flow [mol/s]
hih_i
molar enthalpy on the formation basis [J/mol]
ΔHf,i∘\Delta H_{f,i}^{\circ}
standard enthalpy of formation [J/mol]
cp,ic_{p,i}
heat capacity [J/(mol K)]

Parameters

SiF4/HF in a gas absorbed into water as fluosilicic acid (3 SiF4 + 2 H2O -> 2 H2SiF6 + SiO2; SiF4 + 2 HF -> H2SiF6, the HF reacting first). absorber_stages [-] (default 1); stage_efficiency [-] (fluorine removed per stage, default 0.90, the EFMA BAT booklet No. 4 figure for one atmospheric absorber; a vacuum evaporator system recovers 0.83-0.86 in one stage); product_strength [-] (mass fraction H2SiF6 in the product, optional: surplus water leaves through excess_water); temperature [K] (default the water inlet's; the cleaned gas leaves saturated with water at it). Reports fluorine removal, recovery to acid, product strength, silica, water consumed/condensed/evaporated and the fluorine emitted

Example flowsheets that use it

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