A modular portable dusty air cleaner comprises a removable bin, a dirty gas distributor, an aperture plate, a plurality of tubular filters, a roof, a clean-gas chamber, a dust collection chamber, and a pulse-jet assembly. The dirty gas distributor is positioned to distribute dirty gas into the dust collection chamber from a periphery of the plurality of filters. The aperture plate forms at least a partial ceiling for the bin. The plurality of tubular filters hangs into the bin from the apertures of the plate, one filter per aperture. The roof is positioned above the aperture plate. The clean-gas chamber is defined between the plate and the roof. The pulse jet assembly is positioned at least partly in the clean-gas chamber. The pulse jet assembly includes a plurality of nozzles for pulsing jets of gas down the plurality of filters, one nozzle per filter to dislodge accumulated dust into the bottom of the dust collection chamber.