THE THERMAL-BOUNDARY-LAYER IN A ROTATING CYLINDER SUBJECT TO PRESCRIBED SURFACE HEAT FLUXES

An examination is made of the temperature distribution in the thin thermal boundary layer induced in the sub-surface of a fast rotating cylinder subject to prescribed surface heat fluxes. Based on an asymptotic analysis, a series solution for the temperature field is obtained and an algorithm for the efficient computation of the series suggested. The solution has numerous advantages over those of previous studies for its simplicity and free from numerical instability and excessive demand on computing time, the latter drawbacks being typical of numerical solutions of heat transfer in advection-dominated regions. The closed-formed solution derived in this paper provides further insight into the physics of the problem and allows for parametric variations to be examined readily. This study finds applications in various industrial processes including strip rolling and grinding.