Laminar convection in a heated vertical tube rotating about a parallel axis

Abstract

This paper presents an investigation into the influence of rotation on the laminar asymptotic velocity and temperature profiles obtained when fluid flows through a vertical tube which rotates about a parallel axis with uniform angular velocity, and which is subjected to a uniform temperature gradient. Rotation induces secondary free convection flow in the plane perpendicular to the axis resulting in non-symmetrical axial-velocity and temperature profiles which modify the solved using a series expansion in ascending powers of the rotational Rayleigh number, the resulting solution being approximate and valid only for low rates of heating.