Air cleaner assemblies and components therefor are described. An example first or main filter cartridge is described which includes a media pack comprising strips of fluted material secured to facing sheets, oriented in a stack. The media pack defines opposite inlet and outlet flow faces, with flutes extending in a direction therebetween. The media pack is non-removably secured within a filter cartridge housing, at a location between opposite sections of a shell, typically secured thereto with an adhesive. The shell also defines a closed end, spaced from, but in overlap with, the outlet end face of the media pack. The closed end is typically curved and the shell typically provides either a d/b-shape or a u-shape. The filter includes an end member, with a outlet flow aperture arrangement therein, allowing for outlet flow from the filter cartridge in a general direction orthogonal to air flow through the media pack. The air cleaner assembly includes a housing having features for receipt of, and engagement by, the filter cartridge. An optional secondary filter cartridge is provided, mountable on the housing in an orientation projecting into a clean air volume in the main filter cartridge.