A method for removal of a foulant from a carrier gas is disclosed. A solids conveyance device that spans a vessel and a solids coolant system are provided. A cold solid foulant is provided to the solid inlet of the vessel. The carrier gas containing the foulant is provided to the carrier gas inlet of the vessel. The foulant condenses or desublimates onto the recycled solid foulant, forming a foulant-depleted carrier gas and a solid foulant product. The solids conveyance device passes the solid foulant product out of the vessel. The foulant-depleted carrier gas leaves the vessel. The solid foulant product is split into a final solid foulant product and a recycled solid foulant. The recycled solid foulant is cooled through the coolant system to produce the cold solid foulant. In this manner, the foulant is removed from the carrier gas.