Abstract

Abstract : The purpose of this study was to find solutions to the heat- conduction equation in both one -two dimensions when applied to a composite flat plate. The two-dimensional model is that of two slabs with different thermal properties, in good thermal contact with each other while being exposed to the same boundary layer. The solution takes the form of Fourier series which has been found to be orthogonal with respect to a ''weighting'' function identical to the ''weighting'' function found by Mayer in the one-dimen sional analysis of a composite slab. The Van Driest turbulent boundary-layer theory has been applied to the one-dimensional problem to deter mine the constant film coefficient boundary condition. It has been found that for those values of the Fourier modulus less than 0.1, a maximum error in surface temperature ratio of 8 percent may be expected while the temperature distribution in general is unaffected for the case considered.

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