the effect of the particle size distribution on non-newtonian turbulent ...

the effect of the particle size distribution on non-newtonian turbulent ... the effect of the particle size distribution on non-newtonian turbulent ...

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Chapter 5 Table 5.1. Discussion Page 5.5 Table 5.1: Number Concentration ong>ofong> Large Particles in Viscous Sub-layer Test % Large No. Particles Particles per m 2 KW 22 163 K 20 20 296 . RFlO 4 24 RF 20 5 36 RF 30 6 57 S 10 47 336 S 20 55 463 S 30 62 540 From Table 5.1 it can be seen that ong>theong> highest number ong>ofong>ong>particleong>s per square meter was 540. This indicates that if ong>theong> ong>particleong>s were evenly spaced that approximately one large ong>particleong> would be found every 5cm. This is fairly low for one would expect for a ong>particleong> roughness ong>effectong> for ong>theong>re to be at least one large ong>particleong> per millimetre (Slatter, 1996) and yet even with a low number concentration ong>theong>re is evidence ong>ofong> a ong>particleong> roughness ong>effectong>. In fact, Slatter (1994) detected a ong>particleong> roughness ong>effectong> even when testing slurries with a volumetric concentration as low as 2 %. It would ong>theong>refore appear from tests conducted by Slatter (1994) and test conducted for this ong>theong>sis tllat ong>theong> large ong>particleong>s have a dominant ong>effectong> on tUrbulence even when ong>theong> number concentration is extremely. This would indicate that :he Particle roughness ong>effectong> is due to ong>theong> mere fact that ong>particleong>s are present in ong>theong> slurry per ,e but it is strange that a small number produce ong>theong> same ong>effectong> as a large number.

Chapter 5 Discussion Page 5.6 The number ong>ofong>ong>particleong>s per square meter for ong>theong> mixture I test sets were considerably lower than ong>theong> oong>theong>r test sets. This could be due to ong>theong> fact that ong>theong> viscous sub-layer thickness ong>ofong> mixture I is relatively large compared to ong>theong> kaolin and mixture 2 viscous sub-layer thickness and hence ong>theong> percentage ong>ofong> large ong>particleong>s present (due to ong>theong> definition ong>ofong> a large ong>particleong>) is low. It is interesting to note that number ong>ofong>ong>particleong>s per meter square ong>ofong> viscous sub-layer for ong>theong> 25mm, 80mm, 150mm and 200mm pipelines is ong>theong> same per test set due to ong>theong> number concentration being independent ong>ofong> diameter. What would strengong>theong>n ong>theong> case bf ong>particleong> roughness turbulence is if ong>theong> turbulent flow headloss in a vertical test section was found to be ong>theong> same as ong>theong> horizontal. There is evidence to suggest (eg. Maude & Whitmore, 1956, Wilson, 1996) that ong>particleong>s have a tendency in vertical pipes to move inward away from ong>theong> wall (ie. away from ong>theong> viscous sub-layer). If this is indeed ong>theong> case ong>theong>n it could affect ong>theong> ong>effectong>iveness ong>ofong> ong>theong> ong>particleong> roughness ong>effectong>. Furong>theong>r test should be conducted to confirm if ong>theong> horizontal headloss and vertical headloss are in agreement. 5.6 INFLUE."iCE OF PARTICLE SIZE In Chapter 4, it was stated that an increase in wall shear stress with an increase in concentration for ong>theong> 150mm pipeline tests" for mixture 2 was due to an increase in ong>theong> representative ong>particleong> ong>sizeong>. The d S5 ong>particleong> ong>sizeong>s for ong>theong> three 150mm pipeline tests were l37/tm, 158j.Lm and 170j.Lm and ong>theong> increase in wall shear stress can clearly be seen in Figure 4.21. Slatter's model best predicted ong>theong> turbulent flow data for mixture 2 as it is based on ong>theong> ong>particleong> roughness ong>effectong> and is able to account for ong>theong> increase in wall shear stress. The greater ong>theong> representative ong>particleong> ong>sizeong> ong>ofong> a homogeneous slurry ong>theong> greater will be ong>theong> Increase in ong>theong> wall shear stress and ong>theong> greater will be ong>theong> possibility ong>ofong> ong>theong> oong>theong>r ong>theong>oretical models being unable to predict ong>theong> turbulent flow data. HOwever, this phenomenon could also be ascribed to ong>theong> fact that ong>theong>re is an increase in ong>theong> rheology and ong>theong> density ong>ofong> ong>theong> slurry. To confirm that ong>theong> increase in wall shear stress is Jue to an increase in ong>theong> ong>particleong> ong>sizeong>, ong>theong> sensitivity to changes in wall shear stress due to

Chapter 5<br />

Table 5.1.<br />

Discussi<strong>on</strong> Page 5.5<br />

Table 5.1: Number C<strong>on</strong>centrati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> Large Particles in Viscous Sub-layer<br />

Test % Large No. Particles<br />

Particles per m 2<br />

KW 22 163<br />

K 20 20 296<br />

.<br />

RFlO 4 24<br />

RF 20 5 36<br />

RF 30 6 57<br />

S 10 47 336<br />

S 20 55 463<br />

S 30 62 540<br />

From Table 5.1 it can be seen that <str<strong>on</strong>g>the</str<strong>on</strong>g> highest number <str<strong>on</strong>g>of</str<strong>on</strong>g><str<strong>on</strong>g>particle</str<strong>on</strong>g>s per square meter was 540.<br />

This indicates that if <str<strong>on</strong>g>the</str<strong>on</strong>g> <str<strong>on</strong>g>particle</str<strong>on</strong>g>s were evenly spaced that approximately <strong>on</strong>e large <str<strong>on</strong>g>particle</str<strong>on</strong>g><br />

would be found every 5cm. This is fairly low for <strong>on</strong>e would expect for a <str<strong>on</strong>g>particle</str<strong>on</strong>g> roughness<br />

<str<strong>on</strong>g>effect</str<strong>on</strong>g> for <str<strong>on</strong>g>the</str<strong>on</strong>g>re to be at least <strong>on</strong>e large <str<strong>on</strong>g>particle</str<strong>on</strong>g> per millimetre (Slatter, 1996) and yet even<br />

with a low number c<strong>on</strong>centrati<strong>on</strong> <str<strong>on</strong>g>the</str<strong>on</strong>g>re is evidence <str<strong>on</strong>g>of</str<strong>on</strong>g> a <str<strong>on</strong>g>particle</str<strong>on</strong>g> roughness <str<strong>on</strong>g>effect</str<strong>on</strong>g>. In fact,<br />

Slatter (1994) detected a <str<strong>on</strong>g>particle</str<strong>on</strong>g> roughness <str<strong>on</strong>g>effect</str<strong>on</strong>g> even when testing slurries with a<br />

volumetric c<strong>on</strong>centrati<strong>on</strong> as low as 2 %. It would <str<strong>on</strong>g>the</str<strong>on</strong>g>refore appear from tests c<strong>on</strong>ducted by<br />

Slatter (1994) and test c<strong>on</strong>ducted for this <str<strong>on</strong>g>the</str<strong>on</strong>g>sis tllat <str<strong>on</strong>g>the</str<strong>on</strong>g> large <str<strong>on</strong>g>particle</str<strong>on</strong>g>s have a dominant <str<strong>on</strong>g>effect</str<strong>on</strong>g><br />

<strong>on</strong> tUrbulence even when <str<strong>on</strong>g>the</str<strong>on</strong>g> number c<strong>on</strong>centrati<strong>on</strong> is extremely. This would indicate that<br />

:he Particle roughness <str<strong>on</strong>g>effect</str<strong>on</strong>g> is due to <str<strong>on</strong>g>the</str<strong>on</strong>g> mere fact that <str<strong>on</strong>g>particle</str<strong>on</strong>g>s are present in <str<strong>on</strong>g>the</str<strong>on</strong>g> slurry per<br />

,e but it is strange that a small number produce <str<strong>on</strong>g>the</str<strong>on</strong>g> same <str<strong>on</strong>g>effect</str<strong>on</strong>g> as a large number.

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