Thermobaric flow

Simple model flows demonstrating the combined effect of thermobaricity with either salinity variations or nonlinear temperature-dependence in the equation of state of water are investigated. An inviscid flow exhibits a three-layer behaviour, resulting in the formation of a mid-depth temperature maximum, such as is observed in some high-latitude oceans and deep lakes. This may be subsequently overtaken by nonlinear frontogenesis, which in the viscous case is shown to generate a thermal bar. Thermobaricity shifts the thermal bar towards the colder water, and initially produces a slope in the downwelling plume, but this transient feature disappears as the dominant frontogenesis tilts the plume back to the vertical.