A filter arrangement includes a filter element, a frame construction secured to the filter element, and a handle member secured to the filter element. In preferred embodiments, the handle member is secured to the frame construction. Preferably, the filter element includes a central core member, wherein fluted filter media is coiled around the central core member. Preferably, the central core member includes a plurality of corrugations, wherein the corrugations mateably engage at least some flutes. Preferably, the handle member is integral with the central core member, and also includes a fastening member for connection to a frame construction on the filter element. Methods for cleaning air and servicing an air cleaner preferably include constructions as described herein.