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## Main Question or Discussion Point

I am attempting to make a simple phenomenological model of convection in a fluid with a negative concentration gradient. The heavier fluid overlaying light fluid will under many conditions cause a so called Rayleigh-Taylor unstability, and the denser fluid will move downwards as a result. Ive been trying to make a one-dimensional approximation of this effect that can predict concentration distribution over time. My first thought was to have a velocity vector that was in some way related to the density gradient, such as

v = constant * (dc/dx)^n

or

v = f(mu) * (dc/dx)^n

mu: viscosity

Im stuggling to find litterature on this, except for numerical solutions of 2D and 3D problems. My hope was to in some way get an average of 2D and 3D effects respresented in the 1D solution. Any thoughts or helpful advice?

v = constant * (dc/dx)^n

or

v = f(mu) * (dc/dx)^n

mu: viscosity

Im stuggling to find litterature on this, except for numerical solutions of 2D and 3D problems. My hope was to in some way get an average of 2D and 3D effects respresented in the 1D solution. Any thoughts or helpful advice?