Engineering Study of Thermal Problems in Ferrites of AGS Accelerating Cavities

Expressions for radial and transverse temperature profiles in a ferrite disc heated internally by a high frequency alternating magnetic field of an accelerating cavity were developed from Fourier´s equation for heat conduction. These expressions were further utilized in equations for thermal stresses to determine the pattern of stress distribution inside ferrites. Numerical results were then plotted to facilitate engineering evaluation of cooling methods, It became evident that solid copper plate of reasonable thickness could not adequately cope with the higher heat dissipation requirements of the AGS Conversion Program. Copper cooling plate with internal water passages, however, was found to be an effective heat sink for the ferrites. Derived equations are quite general and therefore could be applied to any thermal problem that is similar in character.