Relationship between meridional temperature gradient and vertical wind shear due to non-uniform horizontal heating. Note: dy = R_e · d. Hydrostatic and geostrophic balance yields:

U_g/ P = (1/f) / y (1/) = R_g/(f · P) (dT/dy)

U(z₂) = U(z₁) - (R/f) · dT/dy|_P · log(P₁/P₂)

f₀ dU/dz = (R_g/H) (dT/dy)