A heat engine including a liner extended along a first dimension and a second dimension, wherein the liner includes a plurality of cavities formed by a honeycomb structure. Each cavity forms a volume extended from an opening at a fluid contact side of the liner and along a third dimension substantially orthogonal to the first dimension and the second dimension. The opening at the fluid contact side includes a cross sectional area of each respective volume of the plurality of cavities. The plurality of cavities is non-uniform with respect to the cross sectional area at the opening along the first dimension, the second dimension, or both.