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

Chapter 2 Literature Review Page 2.11
The relationship between shear rate and <strong>the</strong> velocity <strong>distribution</strong> is given by
i' = -
dV
dr
Length (L)
"
Fluid element
Figure 2.3: Forces acting on a fluid element in laminar flow
(2.9)
(2.10)
A force balance on <strong>the</strong> cylindrical element in Figure 2.3 will yield <strong>the</strong> relationship <strong>of</strong> <strong>the</strong>
shear stress at a radial position r to <strong>the</strong> overall axial pressure drop over <strong>the</strong> pipe <strong>of</strong> length
L:
or,
(2.11)