Laminar forced convection heat transfer in rectangular ducts rotating about an axis perpendicular to duct axis. (1st report Numerical analysis in case of square ducts)

Abstract

Fully developed steady laminar flow of viscous incompressible fluid in straight square ducts rotating at a constant angular velocity about an axis perpendicular to its axis under thermal conditions of axially uniform wall heat flux and peripherally uniform wall temperature at any axial position is studied. Numerical solutions were obtained for ReRΩ numbers from 10 to 105 (for Re numbers form 1 to 4200). At low to moderate ReRΩ numbers, a doublevortex secondary flow appears under the influence of the Coriolis force. For higher ReRΩ numbers it is found that an additional counter-rotating pair of vortices appeared and disappeared for the range of RΩ numbers from 10 to 100. Correlation equations for friction factors and Nusselt numbers are obtained from numerical results. The numerical results in regard to the friction factor and Nusselt number are in good agreement with experimental and analytical results by other reseachers for circular pipe.