Abstract. Thermohaline convection is a well known subject in oceanography, which has long been put aside in stellar physics. In the ocean, it occurs when warm salted layers sit on top of cool and less salted ones. Then the salted water rapidly diffuses downwards even in the presence of stabilizing temperature gradients, due to double diffusion between the falling blobs and their surroundings. A similar process may occur in stars in case of inverse µ-gradients in a thermally stabilized medium. Here we describe this process and some of its stellar applications.Keywords. stars:evolution, convection, stars: abundances
What is thermohaline convection?Thermohaline convection is a wellknown process in oceanography : warm salted layers on the top of cool unsalted ones rapidly diffuse downwards even in the presence of stabilizing temperature gradients, due to the different diffusivities of heat and salt. When a warm salted blob falls down in cool fresh water, the heat diffuses out more quickly than the salt. The blob goes on falling due to its weight until it mixes with the surroundings. This leads to the so-called salt fingers (Figure 1). Thermohaline convection is a double diffusive convection. When the gradients are reversed, another kind of double diffusive convection occurs, which is generally referred to as semi convection.The condition for the salt fingers to develop is related to the density variations induced by temperature and salinity perturbations. Two important characteristic numbers are defined :• the density anomaly ratio∂ S ) T ,P while ∇T and ∇S are the average temperature and salinity gradients in the considered zone• the so-called "Lewis number"where κ S and κ T are the saline and thermal diffusivities while τ S and τ T are the saline and thermal diffusion time scales. The density gradient is unstable and overturns into dynamical convection for R ρ < 1 while the salt fingers grow for R ρ 1. On the other hand they cannot form if R ρ is larger than the ratio of the thermal to saline diffusivities τ −1 as in this case the salinity difference between the blobs and the surroundings is not large enough to overcome buoyancy.Salt fingers can grow if the following condition is satisfied :1 R ρ τ −1 (1.3)In the ocean, τ is typically 0.01.
97https://www.cambridge.org/core/terms. https://doi