  Water scarcity is a dilemma facing much of the global population. Cation
intercalation desalination (CID) cells, which use intercalation host compounds
(IHCs) in combination with ion-exchange membranes (IEMs), could aid in
addressing this challenge by treating saline water sources. Originally, the
performance of such cells was predicted utilizing continuous flow of saline
water through porous IHC electrodes. Here, we use two-dimensional
porous-electrode theory with concentrated solution transport to evaluate the
performance of various cell architectures where flow occurs through open flow
channels (OFCs) when two IHC electrodes comprised of nickel hexacyanoferrate
(NiHCF) are used to store Na+ ions. We show that, when two OFCs are used,
cation exchange membranes (CEMs) are adjoined at flow-channel/electrode
interfaces, and an anion exchange membrane (AEM) is arranged between flow
channels, salt removal increases relative to the original design with
flow-through (FT) electrodes. The IEM stacking sequence within such a membrane
flow-by (MFB) cell is the fundamental repeat unit for electrodialysis (ED)
stacks using many IEMs (CEM/AEM/.../CEM/AEM/CEM) with many diluate streams.
Accordingly, we simulate the performance of such ED stacks using NiHCF IHCs,
and we predict that salt adsorption capacity (per unit NiHCF mass) is amplified
by twenty-fold relative to MFB and FT cells, while simultaneously decreasing
0.7 M NaCl feed water to 0.2-0.3 M within diluate streams. The generality of
these findings is further supported by simulations using Na0.44MnO2 IHC instead
of NiHCF. Thus, we propose the use of cation IHCs as alternatives to the
gas-evolution reactions used in conventional ED.
