To the question about the definition of a stationary temperature field in the capillary during the passage of electric current and the change in water concentration of impurities in the temperature field

Based on several simplifying assumptions, an analytical stationary distribution of the temperature field inside the capillary. The problem is reduced to solving a boundary value problem for the Poisson equation applied to stationary problems of heat conduction. As boundary conditions the value of the temperature on the inner wall of the capillary. Using the obtained distribution of the temperature field was found stationary distribution of concentrations of impurities taking into account the thermal diffusion caused by the presence of the temperature gradient.