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W. Richard Bowen and Nidal Hilal 4

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4.6 ‘vIsUALIsATION’ OF THE REjECTION OF A COLLOId by A MEMbRANE PORE 123<br />

by using membranes with roughness such that only adhesion at peaks is<br />

possible – where the effects of cross-flow are also maximum.<br />

4.6 ‘VISUALISATIOn’ OF ThE REjECTIOn OF A COLLOID<br />

by A MEMbRAnE PORE AnD CRITICAL FLUx<br />

One of the most useful practical operating concepts for membrane processes<br />

is that of a critical filtration flux or critical operating pressure. These<br />

critical parameters are such that below such critical values, rejection will<br />

occur <strong>and</strong> fouling will be minimum <strong>and</strong> above these critical values, transmission<br />

<strong>and</strong> fouling may take place. For colloidal particles, the critical<br />

values may arise as a balance between the hydrodynamic force driving<br />

the solutes towards a membrane pore <strong>and</strong> an electrostatic (electrical<br />

double layer) force opposing this motion.<br />

Science fiction writers have imagined tiny probes travelling, for example,<br />

through the human body, which would allow us to visualise hidden microscopic<br />

phenomena. Such probes remain figments of the imagination.<br />

However, a colloid probe moving along a membrane surface can allow us to<br />

visualise how a colloidal particle would ‘see’ such a surface, Figure 4.17 [9].<br />

Figure 4.17 shows how a 0.75 �m silica colloid probe ‘sees’ the pores in<br />

a 1.0 �m Cyclopore membrane in solutions of two ionic strengths when<br />

imaged in each case with an applied force of 4.6 mN m –1 . It is only at the<br />

highest ionic strength that the pores are clearly apparent, for at the lowest<br />

ionic strength, such a force is experienced too far from the membrane surface<br />

for the electric field to still show sufficient evidence of membrane<br />

porosity. Cases where the process stream component dimensions are close<br />

to those of the membrane pores should preferably be avoided as rapid<br />

pore blocking may occur if the critical flux or pressure is exceeded. Such<br />

6<br />

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2<br />

6<br />

2<br />

0<br />

2<br />

4<br />

µm<br />

0<br />

0<br />

FIgURE 4.17 Imaging a 1.0 �m Cyclopore membrane with a 0.75 �m colloid probe, in<br />

0.1 M NaCl, pH 8 (left); in 0.0001 M NaCl, pH 8 (right). Normalised imaging force 4.6mN m –1 .<br />

0<br />

2<br />

4<br />

µm<br />

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