From Glossary of Meteorology
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  1. The variation with depth of motions associated with variation of density with depth.

    The baroclinic component of the velocity is the total minus the barotropic component. In a baroclinic state, neutral surfaces are inclined to surfaces of constant pressure. The baroclinic torque vector is proportional to the vector cross product and is responsible for generating vertical shears associated with baroclinic flow.

  2. Of, pertaining to, or characterized by baroclinity.