Method of producing catalyst-bearing support and method of producing fibrous carbon nanostructure

A method of producing a catalyst-bearing support that produces a catalyst-bearing support used in production of a fibrous carbon nanostructure, comprising:

• a stirring step of rotating an approximately circular tube-shaped rotary drum housing a particulate support inside thereof around a central axis that forms an angle of not less than 0° and less than 90° relative to a horizontal direction so as to stir the particulate support;
• a spraying step of spraying a catalyst solution against the particulate support inside of the rotary drum;
• and
• a drying step of causing a drying gas to flow to inside of the rotary drum from outside of the rotary drum and causing contact of the drying gas with the particulate support that has been sprayed with the catalyst solution in the spraying step so as to dry the catalyst solution, wherein
• at least part of an implementation period of the stirring step and at least part of an implementation period of the spraying step overlap with each other,
• a spraying direction of the catalyst solution and an inflow direction of the drying gas inside of the rotary drum form an angle of not less than 0° and not more than 45°,
• the spraying direction of the catalyst solution and the inflow direction of the drying gas each form an angle of not less than 60° and not more than 120° relative to a surface of a layer formed by the particulate support during rotation,
• the central axis forms an angle of not less than 0° and not more than 20° relative to a horizontal direction,
• in the drying step, an inflow port for causing the drying gas to flow to inside of the rotary drum from outside of the rotary drum and a discharge port for discharging the drying gas to outside of the rotary drum from inside of the rotary drum are formed in a perimeter wall that is a peripheral section of the rotary drum, and
• the inflow port and the discharge port are positioned radiate axially and oppositely from the central axis.