A tube conveyor belt system for use in conjunction with a support. At least a portion of the support has a concave shape. The tube conveyor belt system has a belt and at least one cleat. The belt has a surface. The at least one cleat extends from the surface of the belt. The at least one cleat includes a plurality of paddle regions and a plurality of web regions. The plurality of paddle regions is in a spaced-apart configuration. The web regions have a flexibility that is greater than a flexibility of the paddle regions. One of the web regions is positioned between adjacent paddle regions.