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1. A combustor cylinder comprising: a barrel having a cylindrical shape around a cylinder axis and defining a circumference of a combustion space through which a combustion gas flows in a direction from an upstream side to a downstream side along the cylinder axis; and an air supply pipe attached to the barrel, wherein the cylindrical barrel has: an inner peripheral surface facing the combustion gas, an outer peripheral surface facing opposite to the inner peripheral surface, an insertion opening penetrating the inner peripheral surface from the outer peripheral surface, and a plurality of separate and independent cooling flow paths extending between the inner peripheral surface and the outer peripheral surface in a direction along the inner peripheral surface, and through which a cooling medium is to flow, wherein a part of the air supply pipe is inserted into an inner peripheral side of the barrel from the insertion opening, and protrudes to the inner peripheral side of the barrel, wherein each of the plurality of cooling flow paths has: an inlet configured to introduce the cooling medium into the respective cooling flow path, and an outlet open at the inner peripheral surface of the cylindrical barrel and configured to discharge the cooling medium flowing through the cooling flow path, wherein the plurality of cooling flow paths comprise a plurality of opening circumference flow paths, each of the plurality of opening circumference flow paths has a circumvention flow path portion extending along an edge of the insertion opening, and at least one of the opening circumference flow paths forms an impingement flow path having an impingement circumvention flow path portion, wherein the impingement circumvention flow path portion intersects with a collision gas axis extending in a flowing direction of the combustion gas directed toward a pipe center axis, the flowing direction being a radial direction of the air supply pipe with respect to the pipe center axis, the impingement circumvention flow path portion extending in a direction having a direction component of the upstream side along the edge of the insertion opening from the collision gas axis, and extending in a direction having a direction component of the downstream side along the edge of the insertion opening from the collision gas axis, wherein an intersection position of the impingement circumvention flow path portion intersecting with the collision gas axis is located on the upstream side of the pipe center axis, and the outlet of the impingement circumvention flow path portion opening on the inner peripheral surface is not formed within a range of a predetermined angle of 60°+-20° around the collision gas axis which is an angle around the pipe center axis, and is formed outside the range of the predetermined angle around the collision gas axis, wherein: the impingement flow path of the plurality of opening circumference flow paths is a first impingement flow path, the plurality of opening circumference flow paths further comprising a second impingement flow path, the impingement circumvention flow path portion of the first impingement flow path is closer to the insertion opening than is the impingement circumvention flow path portion of the second impingement flow path, and a cross-sectional area of the first impingement flow path is wider than a cross-sectional area of the second impingement flow path.
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