Page 261 - Modelling in Transport Phenomena A Conceptual Approach
P. 261
8.1. MOMENTUM TRANSPORT 241
The volumetric flow rate can be determined by integrating the velocity distri-
bution over the cross-sectional area, Le.,
Q = Jd" Jd" vz dXdY (8.1-14)
Substitution of EQ. (8.1-12) into Eq. (8.1-14) gives the volumetric flow rate in the
form
(8.1-15)
Dividing the volumetric flow rate by the flow area gives the average velocity as
(8.1-16)
8.1.2 Annular Couette Flow
Consider a Newtonian fluid in a concentric annulus as shown in Figure 8.3. The
inner circular rod moves in the positive z-direction with a constant velocity of V.
Fluid at Po
-v
L *
