cooling by locating fluid carrying chambers or channels 60 within the depth of the contiguous material 54 and connecting said channels 60 to a suitable heating and or cooling fluid source such as steam water or oil referring now to fig1 a an optimized roll 61 is manufactured from a material 62 that is responsive to heating by magnetic induction such as steel or carbon fiber composite and has a relatively small diameter typically lt 12 u2033 diameter and thus a lower thermal mass herein defined as the mass of the roll multiplied by the effective average heat capacity of the material from which it is manufactured and smaller surface area from which to lose heat to the environment and contacting web 63 than would a larger conventional heated roll the lower thermal mass should be one half or less than the thermal mass of steel the roll 61 may be solid throughout its depth or hollow as shown in fig1 a referring now to both fig1 a and 13 b high heat flux typically gt 20 kw meter roll width roll heating is accomplished using an external magnetic induction heating device 64 and said magnetic induction heating device 64 may be sectionalized as shown in fig1 b to facilitate localized control of the roll 39 s surface temperature across all or part of the roll 39 s width commercially available inductive roll heating systems typically consist of individual inductors 65.