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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Preamble Page xii LIST OF FIGURES Page 2.1 illustration ong>ofong> Newton's law ong>ofong> viscosity 2.5 2.2 Rheological models for non-Newtonian fluids 2.8 2.3 Forces acting on a fluid element in larninar flow 2.12 2.4 Typical pipeline test data for three pipe diameters 2.14 2.5 Graphical representation ong>ofong> ong>theong> Metzner & Reed approach 2.15 2.6 Magnified view ong>ofong> a rough wall pipe showing regions ong>ofong> turbulent flow 2.18 2.7 Magnified view ong>ofong> a rough wall pipe showing ong>theong> viscous sub-layer and ong>theong> slurry ong>particleong>s 2.20 2.8 Graphical comparison ong>ofong> Blasius, Knudsen & Katz and von Karmen friction factor equations for turbulent flow 2.21 2.9 Comparison ong>ofong> ong>theong> law ong>ofong> ong>theong> wall for smooth and rough pipes 2.25 2.10 Moody diagram 2.28 2.11 The Dodge & Metzner correlation shown on a friction factor-Reynolds number diagram 2.29 2.12 Comparison ong>ofong> Dodge & Metzner prediction curve and Kemblowski & Kolodziejski experimental data for ong>theong> flow ong>ofong> a 30% aqueous kaolin suspension at n'=O,39 (taken from Kemblowski & Kolodziejski, 1973) 2.32 2.13 illustration ong>ofong> ong>theong> area ratio 2.34 2.14 Unsheared plug geometry 2.35 2.15 Velocity prong>ofong>ile in turbulent flow 2.38 2.16 Comparison ong>ofong> turbulent velocity ong>distributionong> between a non-Newtonian slurry and air at Re=40600 2.17 Comparison ong>ofong> relative turbulence intensities between a non-Newtonian slurry and air at Re=40600 2.42 2.43

Preamble Page xiii 2.18 Comparison ong>ofong> relative turbulence intensities between bentonite clay suspensions (C y =4% and Cy =6%) and water 2.43 3.1 Isometric drawing ong>ofong> ong>theong> East Rig 3.2 3.2 Solids handling pump and variable speed hydraulic drive 3.3 3.3 Vertical counterflow section 3.4 3.4 Horizontli test section 3.5 3.5 The 80mm, l50mm and 200mm horizontal return pipelines 3.5 3.6 Steel hopper and weigh tank 3.6 3.7 The Mini Rig 3.7 3.8 Pressure tapping and solids collecting pod 3.8 3.9 Manometer board 3.10 3.10 Layout ong>ofong> valves for a manometer for ong>theong> East and Mini Rigs 3.10 3.11 Data logging set-up 3.11 3.12 Typical output obtained from calibration programme 3.15 3.13 Current signal vs time for ong>theong> l50mm magnetic flow meter for a desired speed setting 3.17 3.14 Calibration ong>ofong> ong>theong> l50mm magnetic flow meter, showing laminar and turbulent data over ong>theong> full test range 3.17 3.15 Particle ong>sizeong> ong>distributionong>s using ong>theong> ASTM and Malvern Particle Sizer for ong>theong> same mixture ong>ofong> kaolin clay, rock flour and sand 3.19 3.16 Solids materials used for testing purposes 3.21 4.1 Kaolin second data test set Ty =5,8; K=0,OO676; n=0,645 4.1 4.2 Roughness function correlation for non-Newtonian slurries 4.3 4.3 Optimum representative ong>particleong> ong>sizeong> for test sets K_lO 4.5 4.4 Optimum representative ong>particleong> ong>sizeong> for test sets K_20 4.6

Preamble Page xiii<br />

2.18 Comparis<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> relative turbulence intensities between bent<strong>on</strong>ite clay<br />

suspensi<strong>on</strong>s (C y =4% and Cy =6%) and water 2.43<br />

3.1 Isometric drawing <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> East Rig 3.2<br />

3.2 Solids handling pump and variable speed hydraulic drive 3.3<br />

3.3 Vertical counterflow secti<strong>on</strong> 3.4<br />

3.4 Horiz<strong>on</strong>tli test secti<strong>on</strong> 3.5<br />

3.5 The 80mm, l50mm and 200mm horiz<strong>on</strong>tal return pipelines 3.5<br />

3.6 Steel hopper and weigh tank 3.6<br />

3.7 The Mini Rig 3.7<br />

3.8 Pressure tapping and solids collecting pod 3.8<br />

3.9 Manometer board 3.10<br />

3.10 Layout <str<strong>on</strong>g>of</str<strong>on</strong>g> valves for a manometer for <str<strong>on</strong>g>the</str<strong>on</strong>g> East and Mini Rigs 3.10<br />

3.11 Data logging set-up 3.11<br />

3.12 Typical output obtained from calibrati<strong>on</strong> programme 3.15<br />

3.13 Current signal vs time for <str<strong>on</strong>g>the</str<strong>on</strong>g> l50mm magnetic flow meter for a desired<br />

speed setting 3.17<br />

3.14 Calibrati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> l50mm magnetic flow meter, showing laminar and<br />

<strong>turbulent</strong> data over <str<strong>on</strong>g>the</str<strong>on</strong>g> full test range 3.17<br />

3.15 Particle <str<strong>on</strong>g>size</str<strong>on</strong>g> <str<strong>on</strong>g>distributi<strong>on</strong></str<strong>on</strong>g>s using <str<strong>on</strong>g>the</str<strong>on</strong>g> ASTM and Malvern Particle Sizer<br />

for <str<strong>on</strong>g>the</str<strong>on</strong>g> same mixture <str<strong>on</strong>g>of</str<strong>on</strong>g> kaolin clay, rock flour and sand 3.19<br />

3.16 Solids materials used for testing purposes 3.21<br />

4.1 Kaolin sec<strong>on</strong>d data test set Ty =5,8; K=0,OO676; n=0,645 4.1<br />

4.2 Roughness functi<strong>on</strong> correlati<strong>on</strong> for n<strong>on</strong>-Newt<strong>on</strong>ian slurries 4.3<br />

4.3 Optimum representative <str<strong>on</strong>g>particle</str<strong>on</strong>g> <str<strong>on</strong>g>size</str<strong>on</strong>g> for test sets K_lO 4.5<br />

4.4 Optimum representative <str<strong>on</strong>g>particle</str<strong>on</strong>g> <str<strong>on</strong>g>size</str<strong>on</strong>g> for test sets K_20 4.6

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