NOVELTY - The process comprises: rotating a mandrel-spindle assembly (20) comprising a mandrel component (21) and a spindle component (23), where the mandrel component is a heat shrinkable polymeric tube, an external surface of the polymeric tube corresponds to an internal surface of a tubular ceramic structure to be produced and an internal surface of the polymeric tube defines a bore; and applying a ceramic-forming composition to the external surface of the mandrel component of the rotating mandrel-spindle assembly to produce the tubular ceramic structure.    USE - The process is useful for producing tubular ceramic structures (claimed), which are useful as heat exchangers, recuperators, catalyst bodies and components of solid oxide fuel cells.    ADVANTAGE - The process allows effective production of the tubular ceramic structures with relatively thin walls and/or with walls of uniform thickness and enhanced performance.    DETAILED DESCRIPTION - The process comprises: rotating a mandrel-spindle assembly (20) comprising a mandrel component (21) and a spindle component (23), where the mandrel component is a heat shrinkable polymeric tube, an external surface of the polymeric tube corresponds to an internal surface of a tubular ceramic structure to be produced and an internal surface of the polymeric tube defines a bore; applying a ceramic-forming composition to the external surface of the mandrel component of the rotating mandrel-spindle assembly to produce the tubular ceramic structure, where the internal surface of the ceramic structure is in contact with the external surface of the mandrel; removing the spindle from the bore of the mandrel to provide a mandrel-tubular ceramic structure assembly in which the interior surface of the tubular ceramic structure remains in contact with the external surface of the mandrel; and heat shrinking the mandrel component of the mandrel-tubular ceramic structure assembly to cause the mandrel to undergo shrinkage to a reduced size so that the external surface of the mandrel separates from the interior surface of the tubular ceramic structure thus facilitating removal of the mandrel from the interior surface of the ceramic structure. The spindle component is present in close fitting but slidably removable contact with the bore. The ceramic-forming composition is an anode-forming composition for producing the tubular anode component of a tubular solid oxide fuel cell, and is applied to the external surface of the mandrel by ultrasonic spraying. The anode-forming composition comprises particulate ceramic, particulate source of metal, slurry-forming liquid, dispersant, a binder and/or binder-forming materials, and, optionally, additives consisting of plasticizers, surfactants, foaming agents, defoaming agents and wetting agents. The slurry-forming liquid consists of water and/or organic solvent. The binder consists of gellable or swellable polymer and/or crosslinked polymeric binder-forming mixture providing crosslinked binder in situ. The ceramic-forming composition possesses a viscosity of 1-500000 cP at 20 degrees C. The anode-forming composition possesses a viscosity of 1-10 cP at 20 degrees C, and is applied to the external surface of the mandrel by ultrasonic spraying. The formulations of the ceramic-forming composition and anode-forming composition are changed or modified during the applying step for a selected section of the tubular anode component. The external surface of the spindle possesses an anti-friction cladding or lubricious coating to facilitate removal of the spindle from the mandrel-spindle assembly. The tubular ceramic structure possesses a length of 20-1000 mm, an outside diameter of 1-50 mm and a wall thickness of 0.100-5, a length of 50-500 mm, an outside diameter of 2-30 mm and a wall thickness of 5-20, or a length of 100-250 mm, an outside diameter of 5-20 mm and a wall thickness of 0.25-2.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic view of a method for forming a mandrel spindle assembly.    Mandrel-spindle assembly (20)    Mandrel component (21)    Spindle component (23)    Pair of endplates (26)    Apertures. (28)