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Calculation Membrane

The document discusses the calculation of permeate flux, permeate flow rate, membrane resistance, and provides an example calculation. It defines permeate flux as the permeate flow rate divided by the membrane area. Permeate flow rate is defined as the volume of permeated water divided by time. An example calculation finds a permeate flux value of 60.42 ml/min*m2. Membrane resistance is calculated using the pressure drop across the membrane and the permeate flux. The results provide data on volume of permeate flux, permeate flux, and membrane resistance at different pressures. A figure shows how permeate flux increases with increasing differential pressure.

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Mubarak Yakzan
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732 views2 pages

Calculation Membrane

The document discusses the calculation of permeate flux, permeate flow rate, membrane resistance, and provides an example calculation. It defines permeate flux as the permeate flow rate divided by the membrane area. Permeate flow rate is defined as the volume of permeated water divided by time. An example calculation finds a permeate flux value of 60.42 ml/min*m2. Membrane resistance is calculated using the pressure drop across the membrane and the permeate flux. The results provide data on volume of permeate flux, permeate flux, and membrane resistance at different pressures. A figure shows how permeate flux increases with increasing differential pressure.

Uploaded by

Mubarak Yakzan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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CALCULATION

The permeate flux is defined by:

𝑄
𝐽=
𝑆

 J is permeate flux
 Q is permeate flow rate
 S is area of the membrane

The permeate flow rate defined by:

𝑉
𝑄=
𝑡

 V is volume of water permeate


 t is time water passing through the RO membrane

Example of calculation to find value of permeate flux value.

29 𝑚𝑙
𝑄=
20 𝑚𝑖𝑛
𝑚𝑙
= 1.45 𝑚𝑖𝑛

𝑚𝑙
1.45𝑚𝑖𝑛
𝐽=
0.024𝑚2
𝑚𝑙
= 60.42
𝑚𝑖𝑛. 𝑚2

The value of membrane’s area is given by lab manual wich is 0.024m2

The membrane resistance, Rm can be calculated through the equation below :

△𝑃
𝑅𝑚 =
𝐽. µ

 △ 𝑃 is the pressure drop


 µ is the dynamic viscosity

Example calculation to find value of membrane resistance.

20 𝑏𝑎𝑟
𝑅𝑚 = 𝑚𝑙
(1.48 × 10−10 𝑏𝑎𝑟. min)(60.42𝑚𝑖𝑛.𝑚 2

𝑚𝑙
2.24 × 109 𝑚2

Value of dynamic viscosity, µ is constant which is 1.48×10-10bar.min


RESULT

Table 1: Volume of permeate flux, permeate flux and membrane resistance

Pressure(Bar) Volume of Permeate Permeate Membrane


Flux(ml) Flux(ml/min.m2) Resistance(ml/m2)

20 29 60.42 2.24×109
22 37 77.08 1.92×109
24 50 208.35 7.79×108
26 51 212.50 8.27×108
28 95 395.83 4.78×108
30 205 854.17 2.37×108

Effect of Differential Pressure


900
Permeate
800
Flux,
(ml/min.m2) 700
600
500
400
300
200
100
0
0 10 20 30 40

Pressure,bar

Figure 1: Effect of differential pressure across RO membrane on solute


fluxes

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