Analytical solutions are obtained for fully developed laminar flow inside hexagonal ducts and, as a special case, rhombic ducts, through application of the recently advanced generalized integral transform technique for the solution of diffusion-type problems within irregular domains. First, the formal complete solution of the original problem is obtained, in terms of a denumerable system of coupled ordinary differential equations. Then, an explicit and quite straightforward lowest order solution results from the appropriate simplification of the coupled system. Quantities of particular interest in the field of heat exchanger thermohydraulics are then systematically presented, and utilized to establish the accuracy and suggest application ranges for the approximate solution.
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