An axial convective flow in a rotating tube with a longitudinal temperature gradient

Abstract

47 The solution describing the established planar motion of a liquid in a horizontal band under the effect of a longitudinal temperature gradient and transverse gravity force is well known [1]. The asymptotic char� acter of this exact solution is confirmed by the results of [2], where the problem of convection in a long hor� izontal cuvette with a constant temperature gradient being held on its side boundaries was investigated by experimental and numerical methods. The generaliza� tion of a plane flow to the case of motion in a cylindri� cal channel of an arbitrary cross section is given in [3]. Other generalizations of this solution and a detailed bibliography are contained in review [4]. We consider below the convection in a rotating round tube excited by the interaction of the centrifugal force and thermal flow along the tube axis. In the simplest case, when the transverse gravity force is absent and the motion is