Heat Superconductivity of Superfluid in Curved Channel

Abstract This article researches flow and thermal conductivity of superfluid He II in a curved flat channel. London's approach was used to obtain velocity profiles and heat conductivity for laminar and ballistic regimes. Additionally, laminar regime was investigated using heat flux model, which yielded the same results. Effect of curvature radius and Knudsen number was investigated. Approaching ballistic regime model to laminar regime gives equivalent results, as well as approaching the model to rectilinear channel problem also comes into agreement with existing solution. Increasing curvature moves the peak of velocity to the side due to effect of centrifugal force, and increasing Knudsen number introduces velocity jump at channel walls and makes the profile flatter. Also, increasing curvature reduces heat conductivity, while increasing Knudsen number enhances heat conductivity.