An appliance for producing frozen food products, such as ice cream or slush drinks, includes a cooling cylinder connected in a refrigeration circuit, the cooling cylinder including a thermally-conductive cylinder wall and end cap closing the distal end of the cylinder wall, the cylinder wall and end cap separating refrigerant on one side from product to be frozen on the other side. A divider member disposed adjacent the cylinder wall forms contiguous evaporator compartments spaced apart axially. Restrictor passages in the divider member permit communication between contiguous compartments and refrigerant first enters the first-cooled evaporator compartment at one of the axial ends and flows in series between the evaporator compartments. For fast, efficient freezing of small batches, the product to be frozen is either driven by the auger, or drains, toward the first-cooled evaporator compartment.
