Y. Asako, Y. Yamaguchi, T. Yamanaka, M. Faghri
American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD 1993年1月1日
An unsteady three-dimensional natural convection heat transfer problem in an inclined air slot with a hexagonal honeycomb core is investigated numerically. The air slot is assumed to be long and wide such that the velocity and temperature fields repeat themselves in successive enclosures except at the end boundaries. The natural convection problem is solved in only one honeycomb enclosure with periodic thermal boundary conditions. The numerical methodology is based on an algebraic coordinate transformation technique which maps the hexagonal cross-section onto a rectangle. The transformed governing equations are solved with a control volume discretization scheme using a fully implicit method in time. The computations are performed for the angle of the inclination in the range of 60° to 80° for Ra = 104, and in the range of 45° to 80° for Ra = 105, for Prandtl number of 0.7, and for a fixed aspect ratio of H/L = 5. A conductive thermal boundary condition for the honeycomb side walls is considered. Both periodic and non-periodic oscillating solutions are obtained depending on the inclination angle and Ra number. The complex flow patterns are presented in form of particle trajectory maps. Also, contour plots of local, area, and time averaged Nusselt number are presented.