Difficulty: Medium
Correct Answer: Installing turbulence promoters or increasing cross-flow velocity along the membrane surface
Explanation:
Introduction:
Concentration polarization (CP) is the build-up of rejected solute near a membrane surface, which lowers the effective driving force and can precede irreversible fouling. This question tests practical understanding of how hydrodynamics, not just pressure, control CP in cross-flow membrane operations used in bioprocessing and water treatment.
Given Data / Assumptions:
Concept / Approach:
At steady state, convective solute transport toward the membrane is balanced by back-diffusion away from the wall. CP severity depends on shear at the surface, which sets boundary-layer thickness. Increasing cross-flow velocity and introducing turbulence promoters (spacers, Dean vortices) intensify mixing at the wall, thin the boundary layer, and lower the solute concentration at the interface, thereby restoring flux at a given pressure.
Step-by-Step Solution:
Recognize CP as a mass-transfer limitation governed by Sherwood number ~ f(Re, Sc, geometry).Increase wall shear via higher cross-flow velocity or spacers to raise Sh and decrease boundary-layer thickness.Result: lower interfacial solute concentration ⇒ higher effective Δp − σΔπ ⇒ higher solvent flux at fixed pressure.Secondary aids (periodic backflush, prefiltration) help fouling control but the primary CP lever is hydrodynamics.
Verification / Alternative check:
Flux–pressure curves flatten near the CP limit. Raising cross-flow (or adding spacers) shifts the limiting flux upward; simple pressure increases past the limiting flux give diminishing returns, confirming CP control is hydrodynamic, not purely pressure-driven.
Why Other Options Are Wrong:
Reducing feed flow rate: lowers shear, thickens the boundary layer, and worsens CP.
Raising pressure indefinitely: past the limiting flux this mainly compresses the layer and may accelerate fouling with little flux gain.
Creating dead zones: promotes stagnant boundary layers and intensifies CP.
Common Pitfalls:
Final Answer:
Installing turbulence promoters or increasing cross-flow velocity along the membrane surface
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