Methods, techniques, and constructions are provided for use to apply an evacuation valve arrangement on an air cleaner assembly that is configured for pulse jet operation. An example evacuation valve arrangement is provided which comprises a valve member in the form of a sleeve that extends completely around a sidewall portion of an air cleaner housing of a pulse jet air cleaner. Examples are depicted in which the sidewall portion can comprise: a portion of a housing sidewall section that surrounds an installed filter cartridge, in use; a portion of an access cover; or, a drop tube secured to a portion of the housing, for example either on an access cover or on another portion of a housing. Specific features and alternatives are described. Also, methods of assembly and operation are described.