Figure 2 | Scientific Reports

Figure 2

From: Flow Through Randomly Curved Manifolds

Figure 2

Flux through a campylotic medium consisting of randomly located curvature perturbations.

Flux deficit Φ0 − Φ with respect to the flat case, as a function of the number of curvature perturbations for a0 = 0.01, r0 = 2.0 and the Re varying between 0.1 and 0.4. The solid line is the analytical curve according to Eq. (6). Shown in the inset is the normalized average curvature scalar of the space, R/Rmax and the normalized reduced flux 1 − Φ0/Φ as a function of (Re ~ 1 … 1000). Both Ricci scalar and flux deficit exhibit a maximum at intermediate values of . Since the two maxima are slightly shifted with respect to each other, the reduced flow as a function of R exhibits two distinct functional expressions (see next Fig. 3).

Back to article page