Constrained optimal duct shapes for conjugate laminar forced convection. (English) Zbl 0960.76084
Summary: We use the complex variable boundary element method to analyze conjugate heat transfer in solids with cooling passages of general, convex cross-section. The method is well-suited to duct cross-sections with high curvature and high aspect ratios because the whole-domain boundary integrals are path-independent and analytic. The effects of channel boundary curvature on overall heat transfer are quantified for the first time. Then we present shape-constrained optimal solutions involving fixed pressure drop and fixed pump work. Increased channel boundary curvature is shown to decrease the optimal distance between parallel channels by increasing fin efficiency.
MSC:
76R05 | Forced convection |
76M15 | Boundary element methods applied to problems in fluid mechanics |
80A20 | Heat and mass transfer, heat flow (MSC2010) |
76M40 | Complex variables methods applied to problems in fluid mechanics |