MODELING OF CONJUGATE HEAT TRANSFER BETWEEN PARALLEL PLATES SEPARATED BY A HYDRODYNAMICALLY DEVELOPED LAMINAR FLOW BY THE QUADRUPOLE METHOD

Abstract

The thermal quadrupole method allows the quasi-analytical modeling of heat transfer through a hydrodynamically developed laminar flow between two parallel plates. It is a meshless method based on an integral transform technique. The principle consists of calculating the transfer matrix linking temperature and flux density between the two walls of the channel. The convection-diffusion equation which governs heat transfer in the flow is solved analytically. The interest of this “fluid quadrupole” is to allow the modeling of the conjugate heat transfer between the channel and thick walls through the analytical formalism of the quadrupole method. It is cheked, in the case of mini-microchannels, that the local convective heat transfer coefficient h is rather strongly dependent on the wall nature.