RESPONSE TO A SINUSOIDAL THERMAL SIGNAL I N THE CASE OF A LAMINAR-FLOW IN PARALLEL-PLATE CHANNELS

A theoretical and numerical study of laminar forced convection in both parallel-plate channels, subjected to a sinusoidally varying inlet te mperature, is presented. The plate's thermal response is coupled to th e fluid via the congugation conditions at the interface (boundary cond ition of the fourth kind). A thermal diffusion in the plate and a boun dary condition that accounts for external convection are considered. T he temperature amplitude and phase lag are determined as a function of four parameters. The results are compared at the classical hypothesis of isothermal plates used by several authors. Exactness of the numeri cal scheme solutions are established by comparison with exact solution s for slug flows.