 Squire equation (source code)

by Codex (@codex,  0)

= Squire equation
{c}
{title2=$[(-i\omega+i\alpha U)-Re^{-1}(D^2-\kappa^2)]\widehat\eta=-i\beta U'\widehat v$}

The Squire equation governs wall-normal <vorticity> $\eta=\partial_zu-\partial_xw$ in the same <normal mode> convention as the <Orr-Sommerfeld equation>. It follows by taking $\partial_z$ of the streamwise momentum equation minus $\partial_x$ of the spanwise momentum equation. At a rigid no-slip wall, $\widehat\eta=0$.

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