The thermal field for thin plate surrounded by a fluid

Abstract

Assume that the thin circular plate has an inner radius, other radius and thickness R1, R2 and 2σ respectively. The temperature of the fluid surrounding the surfaces z = ±σ is an arbitrary function depending on the time, that is T0 (t). The temperatures of the fluid surrounding the circular concentric surfaces r = R1 and r = R2 are T1(t) and T2 (t).