Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)The conjugate forced convection-conduction cooling of a two-dimensional heaters array protruding from the lower plate (substrate) of a parallel plates channel was investigated numerically. The conservation equations were solved in a single domain comprising the solid and fluid regions, considering steady state flow with constant properties in the laminar regime. A prediction method for the heaters temperature under arbitrary heat generation rates in the array was proposed by means of an invariant descriptor based on conjugate influence coefficients g(+) which were grouped in a square matrix G(+). The results were obtained for Reynolds numbers Re in the range from 600 to 1900, corresponding to average air velocities in the channel entrance from 0.5 m/s to 1.5 m/s. The ratio of the substrate plate thermal conductivity relative to that of the air was considered in the range from 0 (adiabatic substrate) to 80 (typical of printed circuit boards). The heaters' height in the channel ranged from 0.05 to 0.35 of the channel height, while their thermal conductivity was always assumed equal to 500 that of the air. (C) 2012 Elsevier Masson SAS. All rights reserved.5892101Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)