Table 1. Relative cost of change in fineness.
Laminar | Transitional | |||
f | α | α' | α | α' |
1 | 10.5 | 1.60 | 33.8 | 5.15 |
2 | 6.24 | 0.95 | 13.5 | 2.06 |
3 | 4.11 | 0.63 | 4.74 | 0.72 |
4 | 2.85 | 0.43 | 1.71 | 0.26 |
5 | 2.04 | 0.31 | 0.57 | 0.09 |
6 | 1.51 | 0.23 | 0.09 | 0.01 |
7 | 1.15 | 0.17 | −0.12 | −0.02 |
8 | 0.89 | 0.14 | −0.23 | −0.03 |
9 | 0.70 | 0.11 | −0.27 | −0.04 |
10 | 0.56 | 0.09 | −0.29 | −0.04 |
Raw (α) and standardized (α') effects of fineness (f) on U max for the laminar and transitional model of rigid-body drag. The coefficients are from a mechanistic and not regression model, and thus are truly causal (in the world of the model). The ρ aw coeffcients are the slopes of the curves in Fig. 3C, D at fineness 1–10. Except at f = 1, these approximately equal the percent increase in swimming speed given a unit increase in f. The standardized coefficients are standardized effect sizes represent the average change (or effect) in standard deviation units.