There is disclosed a turboshaft engine having principal rotational axis and comprising power turbine, tail bearing housing and exhaust collector arranged in axial flow series along said axis. The tail bearing housing has radially central region defining flow chamber for cooling air; and an annular duct defined around the central region and which forms at least part of exhaust flow passage for the flow of exhaust gases from the power turbine to the exhaust collector. The flow chamber is provided in fluid communication with said exhaust collector via at least one exhaust port formed in the tail bearing housing such that the flow of exhaust gases along said exhaust collector during operation of the engine educes flow of cooling air through the central flow chamber by drawing air through the or each exhaust port and into the exhaust collector. A related method of operating a turboshaft engine is also disclosed.
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