Adjustment of the First Baroclinic Rossby Wave Propagating in Global Ocean

Based on Sturm-Liouville eigen value theory,the 1°×1° global climatological mean data of the first baroclinic Rossby radius of deformation λ_1 are computed by using the 1°×1° global climatological mean temperature and salinity data.Based on the linear free Rossby wave theory in the stratified fluid,the first baroclinic Rossby wave phase speed can be given by β λ~2_1,so the times for the first baroclinic Rossby wave to cross different ocean basins can be computed from respective ocean basin widths.The time for Rossby wave to cross ocean basin is also called Rossby wave adjustment time,the first baroclinic Rossby wave propagates very slowly in high latitude sea area,and the Antarctic circumpolar sea area is the widest ocean basin,so the first baroclinic Rossby wave adjustment time in the sea area is the longest.Based on the(linear) free Rossby wave theory,the Antarctic circumpolar passage is the control sea area for the global Rossby wave adjustment.