= Three-layer stratified piecewise-linear shear flow
{title2=$U_i=\pm\Delta U/2,\ J=g\Delta\rho h/(\rho_0\Delta U^2)$}
This three-layer <shear flow> has $U=\Delta Uz/h$ and density $\rho_0$ between $z=\pm h/2$. Above and below, the <velocity> is the corresponding constant $\pm\Delta U/2$, and the <mass density> is $\rho_0\mp\Delta\rho/2$. The density drops and <vorticity> jumps coincide at both interfaces. Its <hydrodynamic stability> involves coupled <gravity-vorticity interface waves>, unlike a profile with uniform shear extending through all three layers.
Back to article page
