the methods and apparatus disclosed herein are generally applicable to the production of any of a number of complex ceramic shapes via the plasticization and extrusion of inorganic powder - filled mixtures from screw extruders operated in modes where high core temperatures are a problem . however , certain embodiments of the invention are particularly useful for the management of the large thermal gradients that arise during the processing of highly filled ceramic powder mixtures through co - rotating twin screw extruders , especially where large - diameter honeycomb structures are to be manufactured . accordingly the descriptions that follow are presented with specific reference to such extrusion even though the utility of the invention is not limited thereto . fig1 of the drawings presents a schematic elevational view , in partial cross - section , of a twin - screw extruder 2 of the prior art . that extruder includes an inlet 6 for introducing a starting ceramic powder mixture into extruder barrel 4 where it can be processed by co - rotating screw elements 10 . those screw elements , powered by extruder shaft motor 3 , plasticize and transport the starting ceramic powder mixture through barrel 4 to extruder discharge end 8 where it is discharged under pressure into extruder front end 9 . the plasticized mixture accumulating in front end 9 is then forced under pressure through extrusion die 11 for forming into honeycomb extrudate . as noted above , the extraction of heat from the periphery of charges of plasticized ceramic mixtures being processed through twin - screw extruders can be useful for preventing the frictional overheating of such mixtures during the course of mixing and plasticization . the use of extruder barrel cooling systems to prevent such overheating , however , can foster the development of substantial thermal gradients within the extruder barrel that can make it more difficult to maintain uniform extrusion rates across the diameters of honeycomb extrudates . basically , honeycomb extrudate formed by the extrusion of plasticized ceramic powder mixtures under conditions where large core - to - periphery temperature gradients exist can exhibit a high degree of deformation or disruption of the honeycomb channel structure , or even fracturing of the extrudate , in the course of extrusion from a honeycomb extrusion die . such disruption is particularly evident over a broad central region of the extrudate , and is caused by the fast flow of the heated core material through the die . reportedly , the use of supplemental peripheral heating devices in the front end section of the extruder between the extruder discharge port and the honeycomb extrusion die can help to manage such gradients in the case of thin - walled honeycomb production . however such use can reduce extruder throughput , and in any event is not sufficient for the extrusion of honeycombs of large cross - section , or for the extrusion of smaller substrates where high production rates are required . embodiments disclosed herein offer much greater flexibility for managing this problem . in fact , the use of a combination of extruder barrel cooling and extruder screw cooling enables a measure of control over the development of thermal gradients in the extrudate charge that cannot be achieved by either cooling method alone . accordingly processes that reduce the peripheral temperature of the charge of plasticized ceramic material prior to extruding , e . g ., through the use of extruder barrel cooling , can further improve the effectiveness of screw cooling as a control measure . in carrying out such processing , peripheral cooling is effective to develop a base core - to - periphery temperature gradient in the plasticized material , while screw cooling shapes that gradient so that both the configuration of the extrudate flow front and the nominal temperature of the extrudate as a whole can be managed . in general , the step of actively cooling the extrudate in accordance with the present disclosure will involve freely circulating a coolant through bores in the central shafts of each of the screw elements . in some embodiments , each such bore will extend through substantially the entire length of the screw shaft , from a shaft inlet opening at the shaft end proximate to the inlet end of the extruder to a bore termination at a bore end proximate to the discharge end of the extruder . in addition , however , the manner in which the delivery and circulation of coolant are accomplished can substantially affect the resulting thermal gradients and level of flow - front control that can be achieved . methods for delivering screw coolants to the higher temperature extruder screw segments and regions of plasticized material offer higher levels of control . inventive extruder screw embodiments best adapted for the targeted delivery of coolant are those wherein the coolant is conveyed into each bore through a coolant delivery conduit extending into the bore from the shaft inlet opening . that conduit will convey the coolant from a conduit inlet opening through the length of each bore to a conduit outlet proximate to the bore end and discharge end of the extruder , where the coolant is then injected into the bore . the coolant thus delivered is then circulated back through the bore through the annular space between the bore wall and coolant delivery conduit , where intimate contact with the bore wall efficiently extracts heat from each of the screws . the screw - heated coolant is then finally discharged from the bore through the annular space surrounding the coolant delivery conduit at the shaft inlet . the coolant delivery conduit is desirably formed of an insulating material which can minimize heating of the coolant by the screw shafts as the fluid is transported to the bore ends proximate to the extruder discharge end . the latter ends are the points at which the highest screw and extrudate temperatures are observed , and are therefore the locations where the extraction of heat from the system is most effective in controlling the core temperatures of the extrudate . heat extraction from the screws and the plasticized ceramic material charge in contact therewith can be further enhanced by causing the coolant to traverse back - circulation paths through the bores that include one or more segments of turbulent flow . bore wall or coolant delivery conduit surface discontinuities may be provided for this purpose . fig2 of the drawings presents a schematic illustration , not in true proportion or to scale , of a co - rotating screw design for a twin - screw extruder generally indicated by outline 4 , that screw design incorporating means for effecting efficient screw cooling in accordance with the present disclosure . referring more particularly to fig2 , co - rotating screws 10 and 10 a include bored shafts 12 and 12 a , those shafts being provided with bores 14 and 14 a extending through the shafts from shaft openings 16 proximate to the extruder inlet indicated at 6 to bore ends 18 proximate to an extruder outlet or discharge end indicated at 8 . disposed within each of the bores 14 and 14 a are coolant delivery conduits 20 and 20 a , those conduits extending into bores 14 and 14 a through shaft openings 16 with further extensions along the bores to conduit outlets indicated at outlet arrows 22 and 22 a . those bore ends and the conduit outlets at arrows 22 , 22 a are in close proximity to the extruder discharge end indicated at 8 . in the course of mixing and plasticizing a ceramic powder mixture input to an extruder 4 at extruder inlet indicated at 6 , frictional heating of screws 10 and 10 a commences near the extruder inlet at 6 and continues throughout the mixing process such that peak core temperatures are reached in the mixture at points proximate to the extruder discharge end at 8 . managing these temperatures in accordance with the methods of the present disclosure , a fluid coolant is introduced into inlet openings 21 in each of coolant delivery conduits 20 and 20 a and transported through those conduits toward the conduit outlets at arrows 22 , 22 a , the direction of inlet coolant transport being indicated by hatched arrows such as arrows 24 disposed in the coolant delivery conduits in fig2 . the cold fluid is finally delivered into bores 14 and 14 a at the closed terminal ends of the bores as indicated by conduit outlet arrows 22 , 22 a , then being carried back through the bores via the annular channels formed between conduits 20 , 20 a and the bore walls . the direction of coolant out - flow along the walls of bores 14 and 14 a is indicated by open arrows such as arrows 28 disposed in those annular channels . heat extraction via the out - flowing coolant , from both screws 10 and 10 a and from plasticized ceramic powder mixture in contact therewith , is indicated by wavy arrows such as arrows 32 in fig2 . finally , the thus - heated coolant is discharged from the bores of the screw shafts through the annular spaces at shaft openings 16 , as indicated by coolant discharge arrows 28 a . where it is desired to more fully control the thermal profile of the plasticized ceramic powder mixture delivered to the discharge end 8 of extruder 4 , means for circulating a barrel coolant about the barrel of extruder 4 , such as cooling jacket 40 schematically shown in fig2 of the drawing , may be provided . a coolant for circulation through jacket 40 may be introduced through jacket inlet 42 , and discharged from jacket outlet 44 after extracting heat from the extruder barrel . superior control over that thermal profile will be provided if the temperatures of the coolant introduced into the coolant jacket and the coolant introduced into coolant delivery conduits 20 and 20 a are independently controlled , e . g ., by separate heat extraction units . to improve heat transfer from the extruder screws in apparatus such as shown in fig2 , it is desirable to maintain the rate of flow of the screw coolant through the central bores of the screw shafts high enough to initiate and maintain turbulent flow through those bores . the flow rates required for this purpose will of course depend upon the volumes of the bores and coolant delivery conduits provided in the extruder being operated , as well as the types of surface discontinuities , if any , provided along the fluid flow paths to develop any turbulence desired to be generated in the coolant flow path . flow rates sufficient to effect a complete exchange of the total volume of coolant occupying each of the bores within a time interval of from 0 . 25 - 2 minutes are generally suitable . however lower rates are useful , especially at higher coolant turbulence levels , and higher rates can be selected where additional cooling capacity is desired . the fluid selected for use in screw cooling systems such as described may be chosen depending upon the design of the system and the level of heat extraction required , but fluids having specific heat capacities of at least about 2 kj / kg ° k , e . g ., water or water with additives appropriate for use in water - based cooling systems , are normally effective . the use of a heat - conducting grease between the shafts and screw elements is helpful in further improving heat transfer from the plasticized mixture to the coolant . in designing extruders for the practice of the methods hereinabove described , attention should be paid to the selection of screw configurations and shaft materials to insure that the levels of torque and fatigue typically encountered in the use of twin screw extruders to process highly - loaded ceramic powder mixtures can be managed . in general , high tensile strength materials will be selected for screw fabrication , e . g ., steel or other shaft stock with a tensile strength of at least 2500 kg / cm2 , in order the necessary screw strength will be retained following the boring of the screw shafts . effective screw designs will also incorporate bore sizes large enough to provide for adequate coolant flow but not so large as to compromise shaft torque limits . fig3 of the drawings plots retained torque capacity as a percentage of maximum shaft torque capacity against central bore diameter as a percentage of the bored outer shaft diameter . the maximum torque capacity of 100 % corresponding to the capacity of a non - bored shaft . the central bore diameters plotted range from about 5 % to about 85 % of the outer diameters of the shafts . a useful range of central bore sizes yielding torque capability adequate for twin screw processing with shafts of high tensile strength is outlined within the zone indicated as zone bd in the drawing . moving outside of zone bd in the direction of arrow lht can increase torque capacity , but heat transfer to the coolant is low , with coolant pumping pressures being too high and coolant flow rates being less than desired . moving away from zone bd in the direction of arrow lt will increase coolant flow rates and reduce pressure drops to achieve higher heat transfer , but the torque capacity of the screw shafts can become marginal . based on data such as presented in fig3 , central shaft bores should have diameters not exceeding about 80 % of the shaft diameters in order to prevent excessive weakening of the shafts . on the other hand , bore diameters of at least than 20 % of the shaft diameters should be provided in order to enable adequate coolant flow , reduce coolant system pressure , and secure adequate heat transfer . the technical and economic advantages at the methods hereinabove disclosed for the twin - screw processing of plasticized ceramic powder mixtures are substantial . the use of shaft cooling brings a substantial increase in the cooled surface area of these extruders as compared with known twin screw extruders ( e . g ., increases of 40 % in some embodiments ). surprisingly , such increases are sufficient to permit extrudate feed rate increases of 15 % or more without significantly increasing honeycomb extrudate shape defects . these improved results are due at least in part to the fact that frictional heat generated in these extruders can now be removed directly from those extruder locations at which much of the heat is generated . thus localized core cooling that is maximally effective for the reduction of the core - to - periphery temperature gradients most responsible for core extrudate fast flow is provided . further , the use of screw cooling in combination with peripheral cooling via extruder barrel cooling enables greatly improved flow front control , manifested in flatter twin - screw flow fronts than attainable by any other known means . finally , the combined use of extruder barrel cooling and screw cooling in further combination with so - called front - end heating or cooling offers even greater control over the thermal profile of plasticized ceramic powder extrudate being delivered to a honeycomb extrusion die , and thus even further improvements in honeycomb extrudate flow front control . apparatus suitable for effecting front - end heating in single - screw extruders is known , for example from u . s . patent application no . 2002 / 0167102 , and such apparatus can be adapted to carry out front - end cooling in combination with screw cooling and barrel cooling in the practice of the twin - screw extrusion methods disclosed herein . more particularly , utilizing such apparatus to carry out a further step of front - end heating or cooling of a charge of plasticized ceramic powder mixture as that mixture is transferred from the discharge end of the extruder to the honeycomb extrusion die constitutes yet a further advantageous embodiment of the disclosed methods . while the foregoing description has presented specific examples and embodiments of the present invention , it will be appreciated that such examples and embodiments have been offered for purposes of illustration only , and that a wide variety of alternative embodiments may be adopted by the artisan for particular purposes within the scope of the appended claims .