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It's not really convection but conduction. This refers to the rotors in gas-turbines and jet engines. Air drawn in at the front of the engine is led via the hollow centre of the engine's shaft, to radial holes matching holes drilled up through the blades. Therefore, on its way through the blade the air takes in heat from the surrounding metal, and escapes in the exhaust stream.

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Q: How is film cooling of turbine blade done by internal convection through film holes?
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