Heat Transfer in Rotating Rectangular Cooling Channels $AR=4$ With Dimples

As the world of research seeks ways of improving the efficiency of turbomachinery, attention has recently focused on a relatively new type of internal cooling channel geometry, the dimple. Preliminary investigations have shown that the dimple enhances heat transfer with minimal pressure loss. An investigation into determining the effect of rotation on heat transfer in a rectangular channel (aspect $ratio=4:1)$ with dimples is detailed in this paper. The range of flow parameters includes Reynolds number $Re=5000-40000,$ rotation number $Ro=0.04-0.3$ and inlet coolant-to-wall density ratio $Δρ/ρ=0.122.$ Two different surface configurations are explored, including a smooth duct and dimpled duct with dimple depth-to-print diameter $δ/Dp$ ratio of 0.3. A dimple surface density of 10.9 dimples/in² was used for each of the principal surfaces (leading and trailing) with a total of 131 equally spaced hemispherical dimples per surface; the side surfaces are smooth. Two channel orientations of $β=90$ and 135 deg with respect to the plane of rotation are explored to determine channel orientation effect. Results show a definite channel orientation effect, with the trailing-edge channel enhancing heat transfer more than the orthogonal channel. Also, the dimpled channel behaves somewhat like a 45 deg angled rib channel, but with less spanwise variations in heat transfer.