Model of Cooling of Compact Surfaces by Microchannel Recuperative Heat Exchangers with a Matrix of Filamentary Silicon Single Crystals

Abstract

An analysis has been made of a novel class of recuperative heat exchangers for cooling of compact surfaces in electronic systems for various object-oriented purposes with a matrix of filamentary silicon single crystals grown directly on the heat-liberating boundary. A mathematical model has been proposed based on the assumption of the regime of ideal displacement of the heat-transfer agent in the form of a system of equations of two-temperature convective heat transfer with volume averaging over the element in a porous skeleton. The solution of the system has been obtained in analytical form. The experiment conducted on a pilot plant has confirmed the adequacy of the mathematical model.