Quantitative Biofouling Diagnosis in Reverse Osmosis Membrane Systems.¶
Vrouwenvelder, J. S. (2009). Quantitative Biofouling Diagnosis in Reverse Osmosis Membrane Systems. Water Research, 43(3), 583-594.
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Primes¶
- Biofouling
- Deposition adds area at a rate proportional to clean surface, \(d \cdot (1 - A)\), while cleaning removes it at rate \(r \cdot A\); the governing quantity is deposition net of removal, and the interface stabilises only at \(A^* = d/(d+r)\) — exactly the prime's rate-balance invariant.
This sourceEstablishes that biofilm accumulation on a working membrane surface follows deposition-minus-removal dynamics reaching a balance, supporting the rate-balance occupancy form (deposition proportional to clean surface, removal proportional to coverage, equilibrium where they match).
- Deposition adds area at a rate proportional to clean surface, \(d \cdot (1 - A)\), while cleaning removes it at rate \(r \cdot A\); the governing quantity is deposition net of removal, and the interface stabilises only at \(A^* = d/(d+r)\) — exactly the prime's rate-balance invariant.
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Registry ID ref:b348a1119d32 · see in the full table