An arrangement for cooling a flow-passage wall surrounding a flow passage is described, having at least one rib feature which induces flow vortices in a flow medium passing through the flow passage, is attached to that side of the flow-passage wall which faces the flow passage, and has a main longitudinal extent which is oriented at an angle of &agr;≠0° to the direction of flow of the flow medium passing through the flow passage. The invention is characterized in that the rib feature, along the main longitudinal extent, at least partly has rib-feature sections whose axes enclose an angle of &bgr;≠0° with the main longitudinal extent.