Wind and tides are two main sources of kinetic energy, involved in driving turbulent mixing in the ocean. Sea surface forcing by surface winds can contribute to deeper ocean turbulent mixing by generating near-internal currents within the surface mixed layer, which then penetrate downward (
Nagasawa et al., 2000;
Alford, 2003;
Liu and Lozovatsky, 2012;
Lincoln et al., 2016;
Yang et al., 2017;
Qiu et al., 2019). We further explored the connection between the turbulent dissipation rate and surface wind stress. The total surface stress of sea-ice-covered ocean in CBLMR at each station was calculated based on
in situ 10 m surface wind, and sea ice concentration data derived from Advanced Microwave Scanning Radiometer 2 (AMSR2;
Spreen et al., 2008), which was suggested by
Yang (2009) as
${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } _{{\rm{total}}}}{\rm{ = }} \left( {{{1 - }}\alpha } \right){\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } _{{\rm{air-water}}}}{\rm{ + }}\alpha {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } _{{\rm{ice-water}}}}$, where
$ \alpha $ is the average sea ice concentration around the station within a radius of less than 50 km.
$ {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } _{{\rm{air-}} {\rm{water}}}} = {\rho _{{\rm{air}}}}{C_{\rm{d}}}\left| {{{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over u} }_{\rm{s}}}} \right|{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over u} _{\rm{s}}} $, where
$ {\rho }_{\mathrm{a}\mathrm{i}\mathrm{r}}=1.25\;\mathrm{k}\mathrm{g} / {\mathrm{m}}^{3} $ is the air density,
$ C_{\text{d}}\text{=0.001\;25} $ is the drag coefficient, and
$ {\mathop u \limits^{\rightharpoonup}}_{\text{s}} $ is 10 m surface wind.
$ {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } _{{\rm{ice - water}}}} = {\rho _{{\rm{water}}}}{C_{{\rm{iw}}}}\left| {({{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over u} }_{{\rm{ice}}}} - {{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over u} }_{{\rm{ocean}}}})} \right|({\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over u} _{{\rm{ice}}}} - {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over u} _{{\rm{ocean}}}}) $, where
$ \rho _{\text{water}}\text{=1\;024}\;\text{kg} / {\text{m}}^{{3}} $ is the sea water density,
$ C_{\text{iw}}\text{=0.005\;5} $ is the ice-water drag coefficient (
Hibler III, 1979), and
$ {\mathop u \limits^{\rightharpoonup}}_{\text{ice}}-{\mathop u \limits^{\rightharpoonup}}_{\text{ocean}} $ is simplified as 2% of surface wind (
Thorndike and Colony, 1982). The connection between the turbulent dissipation rate and surface wind stress was evident, with a correlation coefficient of 0.45 and
p<0.02 (
Fig. 9). In P12, P14, and E23, the observed surface wind velocity was more than 10 m/s and with surface stress
${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } }_{\mathrm{t}\mathrm{o}\mathrm{t}\mathrm{a}\mathrm{l}} > 0.2$, which resulted in a dissipation rate more than 5×10
–9 W/kg. For most stations where
$ {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } }_{\mathrm{t}\mathrm{o}\mathrm{t}\mathrm{a}\mathrm{l}}<0.15 $, the turbulent dissipation rate was no more than 2×10
–9 W/kg. However, for some stations, such as E25 and E24 on the MR with
$ {\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\rightharpoonup$}} \over \tau } }_{\mathrm{t}\mathrm{o}\mathrm{t}\mathrm{a}\mathrm{l}}>0.25 $, the dissipation rate remained at a lower level of ~2×10
–9 W/kg, despite stronger surface wind forcing. To some extent, this still implies that the surface wind supplies energy to turbulent mixing at intermediate depths.