A bearing housing for a flow machine includes a bearing chamber configured to receive a bearing, and a lubricant chamber arranged at the bearing chamber and configured to receive a lubricant. The bearing chamber is in fluid communication with the lubricant chamber via an opening such that the lubricant is capable of flowing between the bearing chamber and the lubricant chamber. The bearing housing includes a wall portion with a cooling fin to dissipate heat of the lubricant to an environment. The cooling fin includes a conduit for the lubricant through which conduit the lubricant chamber and the bearing chamber are in fluid communication such that the lubricant is capable of being conducted from the lubricant chamber into the bearing chamber through the conduit to dissipate the heat to the environment.