Membrane Distillation Simulator: Thermal Vapor Transport Through Hydrophobic Membranes

simulator advanced ~12 min
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J = 24.5 L/m²·h — ΔT = 50°C, 0.2 μm pores

A hydrophobic membrane with 0.2 μm pores and 70% porosity produces 24.5 L/m²·h vapor flux with a 50°C temperature difference between hot feed (70°C) and cold permeate (20°C).

Formula

J = C_m × (p_h − p_c)  [Vapor flux through membrane]
p = exp(23.238 − 3841/(T+228))  [Antoine equation, Pa, T in °C]
LEP = −4·B·γ·cos(θ) / d_max  [Liquid entry pressure]

Thermally Driven Separation

Membrane distillation exploits the vapor pressure difference across a hydrophobic microporous membrane. Hot feed water evaporates at the membrane surface, vapor molecules traverse the air-filled pores by diffusion and convection, and condense on the cold permeate side. Because only water vapor can enter the hydrophobic pores — liquid water is repelled by surface tension — MD achieves near-perfect rejection of all non-volatile solutes regardless of feed salinity.

Vapor Pressure & the Antoine Equation

The driving force in MD is the vapor pressure difference between hot and cold sides. Vapor pressure increases exponentially with temperature according to the Antoine equation, which means small increases in hot-side temperature produce large gains in flux. Raising feed temperature from 60°C to 80°C roughly doubles the vapor pressure and the flux. This exponential sensitivity makes MD particularly responsive to operating temperature.

Mass Transfer Through Pores

Vapor transport through membrane pores occurs by three mechanisms depending on pore size and mean free path: Knudsen diffusion (small pores), molecular diffusion (larger pores with trapped air), and Poiseuille flow (very large pores). In typical MD membranes (0.1-0.5 μm pores), a combination of Knudsen and molecular diffusion dominates. Higher porosity and larger pores increase flux but also increase the risk of liquid breakthrough.

Configurations & Applications

Four MD configurations exist: direct contact (DCMD), air gap (AGMD), vacuum (VMD), and sweeping gas (SGMD). DCMD is simplest but has the highest heat losses. AGMD adds an air gap and cooling plate to improve thermal efficiency. MD is being developed for desalination of hypersaline brines, zero-liquid-discharge systems, concentration of fruit juices, and treatment of radioactive wastewater — anywhere complete rejection and low-grade heat availability converge.

FAQ

How does membrane distillation work?

Membrane distillation uses a hydrophobic microporous membrane to separate hot feed from cold permeate. The temperature difference creates a vapor pressure gradient. Water evaporates at the hot surface, vapor diffuses through the air-filled pores, and condenses on the cold side. Only vapor passes — dissolved salts and non-volatile contaminants are completely rejected.

What makes MD different from RO?

Unlike RO which requires high hydraulic pressure (55-70 bar for seawater), MD is driven by temperature difference and operates at atmospheric pressure. MD achieves near 100% salt rejection regardless of feed salinity, making it suitable for high-salinity brines that RO cannot handle. However, MD requires a heat source, ideally low-grade or waste heat.

What is membrane wetting?

Wetting occurs when liquid water penetrates the membrane pores, destroying the vapor-liquid interface. The liquid entry pressure (LEP) depends on surface hydrophobicity and pore size. Membranes must maintain high contact angles (>120°) and controlled pore sizes to prevent wetting during long-term operation.

Can MD use solar or waste heat?

Yes — MD's major advantage is that it operates at 40-90°C, making it compatible with solar thermal collectors, industrial waste heat, and geothermal sources. This enables desalination with minimal electrical energy, particularly attractive for off-grid and remote applications.

Sources

Embed

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