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Advanced <strong>Membrane</strong> Fouling Characterization 133<br />

R f ¼ Resistance of the fouling layer (Pa s/m)<br />

Rm ¼ <strong>Membrane</strong> resistance (Pa s/m)<br />

R m0 ¼ Clean membrane resistance (Pa s/m)<br />

rrej ¼ Salt rejection of the membrane<br />

rs ¼ Specific resistance of the fouling layer (Pa s m/g)<br />

Rt ¼ Total hydraulic resistances at the end of the fouling test (Pa s/m)<br />

tf ¼ Time to collect final 500 mL of sample (min)<br />

ti ¼ Time to collect initial 500 mL sample (min)<br />

ttotal ¼ Total running time of SDI test (min)<br />

u ¼ Crossflow velocity (m/s)<br />

u0 ¼ Feed flow velocity (m/s)<br />

v ¼ Permeate flux (m/s)<br />

v0 ¼ Measured permeate flux at the beginning of the fouling experiment (m/s)<br />

v t ¼ Measured permeate flux at the end of the fouling experiment (m/s)<br />

vðtÞ ¼Average permeate flux at time t (m/s)<br />

x ¼ Integration variable<br />

REFERENCES<br />

1. Loeb S, Sourirajan S (1962) Sea water demineralisation by means of an osmotic membrane. Adv<br />

Chem Ser 38:117–132<br />

2. Martin-Lagardette JL (2000) Competing seawater desalination technologies help to meet dem<strong>and</strong><br />

for fresh water. Memb Technol 124:11–12<br />

3. Committee on Advancing <strong>Desalination</strong> Technology (NRC) (2008) <strong>Desalination</strong>: a national perspective.<br />

National Academies Press, Washington DC<br />

4. Mallevialle J, Odendaal PE, Wiesner MR (1996) The emergence of membranes in water <strong>and</strong><br />

wastewater treatment. In: Mallevialle J et al (eds) Water treatment membrane processes. McGraw<br />

Hill, New York<br />

5. Shannon MA, Bohn PW, Elimelech M, Georgiadis JG, Marinas BJ, Mayes AM (2008) Science<br />

<strong>and</strong> technology for water purification in the coming decades. Nature 452:301–310<br />

6. Pantell SE (1993) Seawater desalination in California. California Coastal Commission, California<br />

7. Bryne W (1995) Reverse osmosis – a practical guide for industrial users. Tall Oaks, Littleton<br />

8. Mulder M (1996) Basic principles of membrane technology, 2nd edn. Kluwer, London<br />

9. AWWA <strong>Membrane</strong> Technology Research Committee (1992) Committee report: membrane<br />

processes in potable water treatment. J Am Water Works Assoc 84(1):59–64<br />

10. Avlonitis SA, Kouroumbas K, Vlachakis N (2003) Energy consumption <strong>and</strong> membrane replacement<br />

cost for seawater RO desalination plants. <strong>Desalination</strong> 157:151–158<br />

11. Dudley L, Vigo Pisano F, Fazel M (2000) Optimizing membrane performance – practical<br />

experiences. Membr Technol 121:5–8<br />

12. Madaeni SS, Mohamamdi T, Moghadam MK (2001) Chemical cleaning of reverse osmosis<br />

membranes. <strong>Desalination</strong> 134:77–82<br />

13. Shahalam AM, Al-Harthy A, Al-Zawhry A (2002) Feed water pretreatment in RO systems: unit<br />

processes in the Middle East. <strong>Desalination</strong> 150:235–245

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