Variational Approach for Resolving the Flow of Generalized Newtonian Fluids in Circular Pipes and Plane Slits

Figure 5

Comparing the analytical solution (solid line) to the variational solutions (circles) of in m³s⁻¹ (vertical axis) versus in Pa (horizontal axis) for the flow of the nine fluid models in pipes. The EL solutions are not represented for the Ellis and viscoplastic fluids. The pipe and fluid parameters are given in Table 4.

(a) Newtonian

(b) Power Law

(c) Ellis

(d) Ree-Eyring

(e) Carreau

(f) Cross

(g) Bingham

(h) Herschel-Bulkley

(i) Casson