Reverse Osmosis Simulator: Desalination Pressure, Flux & Salt Rejection

simulator intermediate ~12 min
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J = 112 L/m²·h — at 28 bar net driving pressure

With 55 bar applied pressure against 27 bar osmotic pressure, a membrane with permeability 4 L/m²·h·bar produces a water flux of 112 L/m²·h with 99.5% salt rejection.

Formula

J_w = A × (ΔP − Δπ)  [Solution-diffusion model]
SEC = ΔP / (η × recovery)  [Specific energy consumption]
R = 1 − C_permeate / C_feed  [Salt rejection]

The Solution-Diffusion Model

Reverse osmosis is governed by the solution-diffusion model: water dissolves into the dense polymer layer of the membrane, diffuses across under a pressure gradient, and desorbs on the permeate side. The driving force is the net pressure difference — applied transmembrane pressure minus the osmotic pressure difference across the membrane. When applied pressure exceeds osmotic pressure, water flows from the concentrated feed side to the dilute permeate side, reversing the natural osmotic direction.

Membrane Materials & Performance

The workhorse of modern RO is the thin-film composite (TFC) membrane: an ultrathin (100-200 nm) aromatic polyamide active layer on a porous polysulfone support. These membranes achieve remarkable performance — water permeabilities of 3-8 L/m²·h·bar with salt rejections exceeding 99.5%. Recent advances in aquaporin-inspired and graphene oxide membranes promise even higher permeabilities, though commercial deployment remains challenging.

Energy & Recovery Optimization

Energy consumption is the dominant operating cost of RO desalination. The thermodynamic minimum energy for seawater desalination at 50% recovery is about 1.06 kWh/m³, but real plants consume 2.5-4 kWh/m³ due to irreversibilities. Energy recovery devices (pressure exchangers) capture energy from the high-pressure brine reject stream, achieving efficiencies above 95% and reducing energy consumption by 50-60% compared to systems without recovery.

Concentration Polarization & Fouling

In practice, rejected solutes accumulate at the membrane surface, creating a concentration polarization layer that increases local osmotic pressure and reduces effective driving force. Combined with membrane fouling from organic matter, colloids, and biogrowth, this means real-world flux is always lower than the clean-water prediction. Pretreatment, crossflow velocity optimization, and periodic cleaning are essential to maintain long-term performance.

FAQ

How does reverse osmosis work?

Reverse osmosis forces water through a semi-permeable membrane by applying pressure exceeding the natural osmotic pressure. The membrane allows water molecules to pass while rejecting dissolved salts and other solutes. Modern RO membranes achieve over 99.5% salt rejection.

What pressure is needed for seawater desalination?

Seawater at 35 g/L salinity has an osmotic pressure of approximately 27 bar. RO plants typically operate at 55-70 bar to maintain adequate flux. Brackish water requires much less pressure (10-25 bar) due to lower salinity.

What is membrane permeability?

Water permeability (A-value) measures how easily water passes through the membrane per unit area, time, and pressure. Modern TFC polyamide membranes have A-values of 3-8 L/m²·h·bar. Higher permeability allows lower operating pressures but may compromise salt rejection.

How much energy does RO desalination consume?

Modern seawater RO with energy recovery devices consumes 2.5-4 kWh/m³, approaching the thermodynamic minimum of about 1.06 kWh/m³ for seawater at 50% recovery. This makes RO the most energy-efficient desalination technology available.

Sources

Embed

<iframe src="https://homo-deus.com/lab/membrane-science/reverse-osmosis/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub