Abstract
A theoretical study of convective heat transfer in laminar duct flow subjected to an axial variation of the external heat transfer coefficient is presented. Since standard analytical techniques are not applicable, a variable eigenvalue approach is developed which is capable of handling variable boundary condition parameters. Methodology is presented for the case of a stepwise periodic variation of the heat transfer coefficient, which serves as a model for a duct fitted with an array of external fins. A parameter study showing the effects of a stepwise periodic heat transfer coefficient is presented which gives insight into heat transfer enhancement due to finning.
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