The invention relates to a continuous process for freezing a flow of aqueous material in liquid form and moving the aqueous material through at least one tube from an inlet of the tube to an outlet of the tube so as to form a breakable or cuttable frozen extrusion without bursting the tube. The process creates an extruded material that comprises liquid aqueous material entrapped between frozen aqueous material to self-lubricate the extrusion as it moves through the tube. An apparatus for carrying out the process of the invention is also provided.