Steady flow and heat transfer around an inclined square cylinder confined in a two-dimensional channel

چکیده مقاله

In this study, the numerical investigation of flow and heat transfer around a heated long inclined square cylinder in a steady laminar regime is carried out for the range of conditions as 1 ≤ Re ≤ 40 and 0.7 ≤ Pr ≤ 100. The square cylinder is placed on the axis of a plane channel and an angle of inclination equal to 45° with a fixed blockage ratio of 1/8 is considered. The variation of local Nusselt number on each surface of the heated square obstacle for the constant wall temperature and uniform heat flux boundary conditions are presented to elucidate the role of Prandtl number on heat transfer. The average Nusselt number increases with a growth in the Reynolds and/or the Prandtl number. This value is higher for uniform heat flux condition in comparison with constant temperature one. Simple correlations have been also obtained for the Nusselt number according to the different Reynolds and Prandtl numbers for both boundary conditions. In addition, In order to investigate the flow characteristics, results are presented in terms of streamline and vorticity contours. Under a provided correlation, the length of recirculation increases linearly with the Reynolds number.