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

Chapter 2 Literature Review Page 2.26
_1 =-410g [ k].
If 3,7 D
2.10.4 Partially Developed Rough Wall Turbulence
(2.48)
The transitional flow between smooth and rough pipes as shown in Figure 2.10 was
investigated by Colebrook and White (Colebrook, 1939). The following empirical equation
was proposed:
If 1 [ k
= -4 log 3,7 D
2.10.5 Moody Diagram
+ 1,26]
Re If
(2.49)
Moody (1944) was <strong>the</strong> first to present a composite diagram <strong>of</strong> all <strong>the</strong> regions <strong>of</strong> interest for
Newtonian flow in pipes. The chart, termed <strong>the</strong> Moody diagram, as shown in Figure 2.10,
represents <strong>the</strong> <strong>effect</strong> <strong>of</strong> Re and kiD on <strong>the</strong> friction factor and includes:
2.11
•
<strong>the</strong> straight line laminar friction factor curve
<strong>the</strong> smooth pipe turbulent friction factor curve
<strong>the</strong> various fully rough turbulent friction factor curves
<strong>the</strong> transition friction factors
NON-NEWTONIAN TURBULENT FLOW MODELS
Data obtained by Slatter (1994) was analyzed and compared using his new model with <strong>the</strong>
Torrance (1963) and Wilson & Thomas (1985, 1987) models, <strong>the</strong>oretical models which have
a stronger analytical background. It was decided to use <strong>the</strong>se two models for analysis and
comparison <strong>of</strong> data for this <strong>the</strong>sis seeing that this is a continuation <strong>of</strong> work conducted by
Slatter (1994). It was, however, also decided to incorporate into <strong>the</strong> analysis <strong>the</strong> models <strong>of</strong>
Dodge & Metzner (1959) and Kemblowski & Kolodziejski (1973), models having a more and
empirical approach.