Olakoyejo, O.T. (Olabode Thomas)Bello-Ochende, TundeMeyer, Josua P.2012-08-242012-08-242012-07O.T. Olakoyejo, T. Bello-Ochende & J.P. Meyer, Constructal conjugate cooling channels with internal heat generation, International Journal of Heat and Mass Transfer, vol. 55, no. 15-16, pp. 4385-4396, (2012), doi: 10.1016/j.ijheatmasstransfer.2012.04.007.0017-9310 (print)1879-2189 (online)10.1016/j.ijheatmasstransfer.2012.04.007http://hdl.handle.net/2263/19646This paper presents a geometric optimisation of conjugate cooling channels in forced convection with internal heat generation. Two configurations were studied; circular channels and square channels. The configurations were optimised in such a way that the peak temperatures were minimised subject to the constraint of fixed total global volume. The fluid was forced through the cooling channels by the pressure difference across the channels. The structure has one degree of freedom as design variable: channel hydraulic diameter and once the optimal channel hydraulic diameter is found, optimal elemental volume and channel-to-channel spacing result. A gradient-based optimisation algorithm is applied in order to search for the best and optimal geometric configurations that improve thermal performance by minimising thermal resistance for a wide range of dimensionless pressure difference. This optimiser adequately handles the numerical objective function obtained from CFD simulations. The results obtained show the behaviour of the applied pressure difference on the optimised geometry. There are unique optimal design variables for a given pressure difference. The numerical results obtained are in agreement with the theoretical formulation using scale analysis and method of intersection of asymptotes.en© 2012 Elsevier. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in International Journal of Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Heat and Mass Transfer, vol 55, issue 15-16, July 2012, doi: 10.1016/j.ijheatmasstransfer.2012.04.007.OptimisationLaminar flowForced convectionOptimal geometryPeak temperatureConstructal theoryThermal resistanceDynamic-QHeat -- TransmissionFluid dynamicsCoolingPostprint Article