A fully implicit three-dimensional, control-volume-based, finite difference model has been developed for predicting temperature distributions and thermal expansion in a rotating variable section cylindrical domain. Included in the model formulation is a technique for accommodating boundary conditions that are geometrically nonorthogonal with respect to the surface finite difference grid. Steady-state results applicable to hot and cold rolling processes are presented, with emphasis placed on the evaluation of selective coolant application as a means for controlling the axial distribution of radial roll thermal expansion.

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