“…(10), substituting C icp in Eq. (19) with its expression developed in Eq. (8), and substituting the ratio J s /J w with its expression presented in Eq.…”
Section: Model Of the Water Flux J Wmentioning
confidence: 99%
“…In an osmotically driven membrane process, the water permeation flux J w across an ideal semipermeable thin film that allows water passage but rejects solute molecules or ions is related to the water permeability A, the effective osmotic pressure difference Δπ m and the transmembrane hydraulic pressure difference ΔP as follows [19]:…”
Section: Basic Expressions Of the Water And The Salt Fluxesmentioning
confidence: 99%
“…In many published papers, s is considered as a constant [8,19]. However, s takes different values depending on operating conditions (temperature, pressure, etc.).…”
Section: Effect On the Structure Parametersmentioning
confidence: 99%
“…1); consequently, the effective osmotic pressure and the water flux are reduced (see Eqs. (19) and (21)) and thus the performance of the PRO is limited. The results revealed the strong relationship between the water flux and the salt diffusion: high temperature leads to a better water flux, which unfortunately induces more severe solute diffusion.…”
Section: Study Of the Reverse Solute Diffusionmentioning
“…(10), substituting C icp in Eq. (19) with its expression developed in Eq. (8), and substituting the ratio J s /J w with its expression presented in Eq.…”
Section: Model Of the Water Flux J Wmentioning
confidence: 99%
“…In an osmotically driven membrane process, the water permeation flux J w across an ideal semipermeable thin film that allows water passage but rejects solute molecules or ions is related to the water permeability A, the effective osmotic pressure difference Δπ m and the transmembrane hydraulic pressure difference ΔP as follows [19]:…”
Section: Basic Expressions Of the Water And The Salt Fluxesmentioning
confidence: 99%
“…In many published papers, s is considered as a constant [8,19]. However, s takes different values depending on operating conditions (temperature, pressure, etc.).…”
Section: Effect On the Structure Parametersmentioning
confidence: 99%
“…1); consequently, the effective osmotic pressure and the water flux are reduced (see Eqs. (19) and (21)) and thus the performance of the PRO is limited. The results revealed the strong relationship between the water flux and the salt diffusion: high temperature leads to a better water flux, which unfortunately induces more severe solute diffusion.…”
Section: Study Of the Reverse Solute Diffusionmentioning
“…This is the case of osmotic power or pressure retarded osmosis plants, a concept, which has been independently proposed in the 1970s by Norman [9], Jellinek [10], and Loeb [11] and is now becoming a reality in Norway. An introduction on this technology is given in Reference [12]. The technology takes advantage of the high osmotic pressure which is built when salt water from the sea meets water from fjords and rivers (Figure 2).…”
In this work, consideration is given for pressure -retarded osmosis (PRO) system in a pool configuration. The motivation behind of such a configuration lies in the possibility to eliminate mechanical moving parts or energy recovery systems -as for example pressure exchangers (PEXs), which are needed in traditional PRO systems. In a pool configuration mobil parts as pumps or PEXs may no longer be needed because advantage is taken not only in the osmotic energy released upon the mixing of the two solutions with different concentrations but also in the buoyant potential from the gradient of density. The preliminary mathematical development for a pool configuration constitute the core of this work. The main theoretical difficult which aroused when attempting to analyze a pool-PRO system was the determination of the vertical motion of the plume formed immediately after the detachment and the mixing which must be at least equal than that given by the water permeability coefficient of the membrane if it is desired that the system works in a steady stay. Because hydrodynamic entrainment induced by the vertical motion of the plume must be promoted in order to replenish with fresh draw solution the membrane, then it must be arranged in clusters which from computational fluid dynamics CFD simulations performed should be in the range of 50 to 100μm. aKeywords. Pressure-retarded osmosis (PRO); Membrane permeability Coefficient, Osmotic energy; buoyancy
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