On duct system in industrial plants and air conditioners, free convection is produced by buoyancy forces in the fluid because of the temperature differences between the duct wall and the fluid. In previous papers (1997, 1998), a numerical analysis was shown on influences of free convection for steady laminar flows is horizontal rectangular ducts. As a result, it was indicated that secondary flow vortices in a cross section of the duct occur, and counter-rotating additional vortices arise in a region near the bisector of the bottom wall at high ReRa. The above phenomenon is also shown for pulsating flows in duct system with fluid machineries. For this pulsating flows with free convection, there is a few report in horizontal pipes, while there are few reports in horizontal rectangular ducts arising additional vortices. Therefore, pulsating laminar flows with free convection in horizontal rectangular ducts are studied numerically for air (Pr=0.73) at ReRa=106 with no additional vortex and ReRa=2×106 with additional vortices on steady flows. The effects of pulsating frequency ω on axial velocities, temperatures, stream lines of secondary flow, friction losses, Nusselt numbers and intensities of additional vortices are presented. Furthermore, the influences of ω and ReRa on amplitudes and phase lags of axial velocities and temperatures are also calculated, and these results are compared with the numerical data at ReRa=0 reported by Yakhot et al. (1999).
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