Thermal wind
= Thermal wind
{wiki}
= Thermal-wind balance
{synonym}
<Thermal-wind balance> relates <vertical shear> of <geostrophic flow> to horizontal density or <temperature> gradients. With constant <Coriolis parameter> $f_0$ and reference density $\rho_0$,
$$
f_0u_z=\frac g{\rho_0}\rho_y
$$
for the sign conventions used here.