Burgers vortex sheet
= Burgers vortex sheet
{c}
{title2=$\delta_s^2=2\nu/\alpha$}
A planar strained <shear layer> is a <Burgers vortex sheet>. For strain $u_x=-\alpha x$, $u_z=\alpha z$ and transverse velocity $u_y=U\operatorname{erf}(x/\delta_s)$, viscous balance gives $\delta_s^2=2\nu/\alpha$. At fixed velocity jump its excess <viscous dissipation> per sheet area scales as $U^2\sqrt{\nu\alpha}$, which vanishes as <kinematic viscosity> tends to zero.