In the reverse osmosis, two types of flow through cellulose acetate membrane exist: one is the diffusion type flow of water driven by the effective pressure difference (
ΔP-
Δπ), where
ΔP is the hydraulic pressure difference and
Δπ is the osmotic pressure difference, and another is the capillary type flow driven by the hydraulic pressure difference.
In this paper, a closer investigation on the capillary type flow has been made, while a few investigators discussed on that flow.
Permeation of aqueous sodium chloride solution through two kinds of cellulose acetate membrane has been studied changing the applied pressure and the concentration of the feed solution widely.
Results are as follows.
Following empirical equations for volume flux
Jv and solute molar flux
Js which are applicable in the experimental ranges of pressure and salt concentration are obtained:
Jv=
Aoexp(-απ
f) (
ΔP-
Δπ)+Boexp(-bπ
f)
ΔPJs=
ks+
Cfθ
Boexp(-bπ
f )
ΔPWhere
Ao•exp(-
a π
f) is the permeability of water by the diffusion type flow,
Bo•exp(-bπ
f) is the permeability by the capillary type flow, π
f is the osmotic pressure of the feed solution,
Cf is the concentration of the feed solution,
ks, is the solute molar flux of diffusion type flow and θ corresponds to the selectivity of the capillary type flow.
Using these equations, solute rejection at
ΔP is expressed as follows: Where σ
v is the reflection coefficient obtained from the relation between
ΔP and
Δπ at
Jv=O.
Above equation shows that Rej increases with applied pressure to an ultimate value, designated as σ
r.
The relation between σ
r and σ
v is
σ
r=1-(1-σ
v)θ
When capillary flow has no selectivity, i.e. θ=1, σ
r=σ
vIn our experiments, θ is lower than unity, so that σ
r, becomes greater than σ
v.
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