Knowledge card
Powell–Eyring coefficients and signs stay consistent
The small-shear expansion sinh⁻¹(z) ≈ z − z³/6 fixes the cubic coefficient and its NEGATIVE sign; the same correction must propagate unchanged through the stress, the PDE, the ODE, and the wall-shear relation.
Dimension I
Definition
What it is — and what it is not
- What it is
- S1Correction and justification — The small-shear expansion sinh⁻¹(z) ≈ z − z³/6 fixes the cubic coefficient and its NEGATIVE sign; the same correction must propagate unchanged through the stress, the PDE, the ODE, and the wall-shear relation. [1.1]
Dimension II
In practice
How to deal with it
No practical guidance recorded yet.
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