Fundamentals
9 | 37
Form-No: TM-WW002 // Revision: A // Date: Oct. 10, 17
?????????????????? = ???????????????????????? ???????????????????????????????????????????????? − ???????????????????????????????????????????????? ???????????????????????????????????????????????? + ????????????
If there is any height difference between the locations of the feed pressure and permeate pres-
sure sensors than this shall be compensated in the above calculation of TMP indicated as Cor-
rection Factor (CF). For example if the feed pressure sensor is 50 cm higher located than the
permeate pressure sensor then CF = + 0.05 bar. In the event the permeate pressure sensor is
located 80 cm higher than the feed pressure sensor then CF = - 0.08 bar.
Gross Flux
The flux presents the absolute hydraulic flow in relation to the active membrane area that is
used for filtration. Increasing the flow also increases the flux. Reducing the active membrane
area (e.g. by isolating a module) also increases the flux. See the formula below.
?????????????????????????????? ???????????????????????? =
???????????????????????? ???????????????????????? [
??????
ℎ
]
???????????????????????????????????????????????? ???????????????????????? [??????
2
]
[
??????
??????
2
⋅ ℎ
???????????? ??????????????????]
The gross flux is the instantaneous, “real” flux through the available membrane surface area.
For feed pump flow rate sizing the gross flux shall be used multiplied by the total (maximum)
membrane area that this particular feed pump is feeding to.
Net Flux
The net flux (NF) is the average flux with consideration of water consumption and no permeate
production time during back flush and chemical cleaning periods. The net flux depends on the
filtration time, (air scouring) (AS), the back flush flow, the back flush time and cleaning interval
and duration. The formula below can be used to calculate the net flux:
?????????????????? ???????????????????????? =
?????????????????? ???????????????????????????????????????????????? ???????????????????????????????????????????????????????????? ???????????????????????? [
??????
ℎ
]
???????????????????????????????????????????????? ???????????????????????? [??????
2
]
[
??????
??????
2
⋅ ℎ
???????????? ??????????????????]
Average Flux
The average flux is defined as the specific flux over a longer period, e.g. over a week, month or
even a year. It can be calculated by the following formula (as example for a period of one
week):
?????????????????????????????????????????? ???????????????????????? (????????????????????????) =
???????????????????????????????????????????????? ?????????????????????????????? ???????????????????????????????????? ?????????????????? ????????????????????????
?????????????????????????????? ???????????????????????????????????????????????? ???????????????????????? ???????????????????????? ⋅ 168 ℎ????????????????????????
[??????????????????]
Permeability
The permeability expresses the ratio of gross flux to the transmembrane pressure (TMP). Per-
meability is an important factor for evaluation of the membrane performance.
???????????????????????????????????????????????????????????????????????? =
?????????????????????????????? ????????????????????????
??????????????????
[
??????
??????
2
⋅ ℎ ⋅ ??????????????????
]
Normalized permeability
The permeability is strongly related to the viscosity of the medium which in turn depends on the
temperature.
Usually, the permeability is normalized to a temperature of 20˚C
for better com-
parison of membrane modules operated at different temperature conditions. The following
equation can be used for that purpose. T is the actual temperature of the medium:
Fundamentals
10 | 37
Form-No: TM-WW002 // Revision: A // Date: Oct. 10, 17
???????????????????????????????????????????????????????????? ???????????????????????????????????????????????????????????????????????? =
?????????????????????????????? ????????????????????????
??????????????????
⋅ 1.024
(20−??????)
[
??????
??????
2
ℎ ??????????????????
]
Recovery
The recovery or recovery rate is the ratio of the usable product flow to the total feed water flow
during a certain time period. The longer the time frame the more accurate the recovery calcula-
tion is due to factoring in all water losses and non productive time for backflushes and chemical
cleanings.
???????????????????????????????????????????????? =
?????????????????? ?????????????????????????????????????????? ????????????????????????
???????????????????????? ????????????????????????
?????? 100%
Membrane Fouling
3.3
Fouling and fouling control is an inevitable topic in all membrane filtration processes. Fouling
describes the process of particulate and solutes accumulating on the feed side of the mem-
brane due to the membranes selectivity. There are three
general types of fouling:
Particulate Fouling
Particulate fouling is caused by suspended solids, colloids and turbidity in the feed water. This
fouling is controlled by hydraulic cleanings through regular air scouring and back flushing.
Inorganic Fouling / Scaling
Most inorganic fouling occurs when filtering ground water or alkaline industrial waste water. In-
organics may precipitate onto the surface of the membrane and create a solid layer at certain
circumstances when certain solubility limits are reached at certain concentration, pH and tem-
perature. This type of fouling can be removed by using acid for cleaning. In general, the use of
citric acid is sufficient. The concentration dependents on the exact nature of the inorganic pre-
cipitate and how severe and long the fouling has been present on the membrane surface area.
Organic Fouling
Organic fouling occurs when filtering water containing a certain amount of organics. Alginates,
humic acids and fatty acids are the most common ones. Bacteria growth on the membrane is
also a common cause. Alkaline solutions, such as sodium hypochlorite (NaOCl), are commonly
used for removal of organic fouling.
All three types of fouling will occur during the lifetime of a membrane module, which fouling type
will be seen predominantly depends on the feed water characteristics. Unfortunately, not all
fouling is easy to remove and some fouling types are not able to remove at all.
1) Reversible fouling
can be fully removed by hydraulic cleaning, performance may
be substantially recoverable.
2) Irreversible fouling
can be fully removed by chemical cleaning, performance may
not be entirely recoverable, with gradual deterioration over time.
3) Irrecoverable fouling
cannot be removed, performance is compromised and non-
recoverable.
Irrecoverable fouling will permanently reduce the performance of the membrane and can only
be recovered by replacing the affected membrane module(s).