Non -Newtonian Flow in Non-circular Duct

Predicting Non-Newtonian Flow Behavior in Ducts of Unusual Cross Section

“…Schechter (1961) adopted a variational approach for this same problem. Mizushima, et al (1965), and Mitsuishi, et al (1968), used the variational procedure for the case of flow in elliptical and triangular ducts. recently suggested a less complicated method for predicting the pressure drop-flow rate relationship.…”

“…Figure 5. Rectangular-duct data of Mitsuishi, et al (1968), for a 1.11% solution of CMC (carboxymethylcellulose) replotted as f vs. 7 Figure 6. Triangular-duct data of Mitsuishi, et al (1968), for a 3.79% solution of CMC replotted as f vs. y here as Figure 3.…”

“…Rectangular-duct data of Mitsuishi, et al (1968), for a 1.11% solution of CMC (carboxymethylcellulose) replotted as f vs. 7 Figure 6. Triangular-duct data of Mitsuishi, et al (1968), for a 3.79% solution of CMC replotted as f vs. y here as Figure 3. The results are for values of K, the ratio of the radius of the inner core to the radius of the outer cylinder, ranging from K = 0.1 to K = 0.9.…”

“…McEachern's results indicates the validity of eq 9 for axial annular flow of an Ellis fluid. Mitsuishi, et al (1968), have considered analytically and experimentally the pressure drop-flow rate relation for non-Newtonian fluids in circular tubes, rectangular ducts, and isosceles triangular channels. Typical results from their experiments on flow of a specific polymer solution in circular tubes and rectangular channels of various aspect ratios are shown in Figure 4.…”

On the Prediction of Non-Newtonian Flow Behavior in Ducts of Noncircular Cross Section

“…The importance of such a technique to the design engineer who must deal with such fluids in the design of a multitude of types of industrial process equipment is obvious. Because of the simplicity of Miller's method, the engineer is spared the often difficult task (Hanks, 1963a,b; Kozicki and Tiu, 1967; Kozicki, et al, 1966;Mitsuishi, et al, 1968; Mizsushima, et al, 1965;Schechter, 1961; Wheeler and Wissler, 1965) of solving the complex equations describing the motion. This is a highly desirable simplification.…”