Numerical study on transient laminar natural convection in an inclined parallel-walled channel

Abstract

The transient laminar natural convection in an inclined parallel-walled channel when the bottom wall is heated was investigated by direct numerical solution of the governing equations using the accurate projection method, PmIII. Comparison of the investigation results with other published experimental results for the overall Nusselt numbers was made. It was found that the numerical simulation results represented by the overall Nusselt number are in good agreement with the experimental data. The numerical study confirmed that, for the laminar natural convection of water whose Pr is close to 5 in an inclined parallel-walled channel and for a spacing ratio of less than 1/20 when the incline ranges from 45 to 90 degrees, the overall Nusselt number can be considered as a monotonic function of a new parameter, i.e. the product of the Rayleigh number and the ratio of the channel width to the length times the sine of the inclination angle of the parallel channel.