## Surface wind over tropical oceans: Diagnosis of the momentum balance,

and modeling
the linear friction coefficient

### Abstract

Previous diagnostic studies of surface wind momentum balances over tropical oceans showed that, under a linear friction assumption, the
meridional friction coefficient is 2-3 times larger than the zonal friction coefficient, and that both friction coefficients exhibit a
pronounced meridional dependence. Our diagnosis of a global marine surface dataset confirms these results. Furthermore, we show that
to first approximation the friction coefficients are independent of longitude and season in the tropical band between ~20S and ~20N.
Polewards of 20N and 20S, the coefficients are no longer solely a function of latitude. To explain these empirical results, we
formulate a simple analytical model of the friction coefficient based on the simplest K-theory mixed layer parameterization, assuming
constant viscosity. The model does a good job of reproducing the observed zonal friction coefficient, but does poorly for
meridional friction. The poor result is thought to be from model sensitivity to the specified PBL thickness. By reversing the
calculation, using observed meridional friction coefficients and assuming no meridional winds at PBL top, we derived model PBL heights
that compared favorably with zonally averaged inversion heights for June-August over the tropical Atlantic. Our model suggests that
both coefficients increase away from the equator because of the decrease in PBL thickness. Furthermore, the zonal friction coefficient
is smaller than the meridional coefficient because strong zonal winds at the top of the boundary layer mixes down, reducing the
retarding influence of surface zonal momentum fluxes. Our results also suggest that the boundary layer top winds and height are
important components in modeling surface winds over the tropical oceans.

Send reprint requests to jchiang@ldeo.columbia.edu