Numerical optimisation of forced convection in a vascularised solid with triagular channels

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.In this paper we employ the constructal design and theory to seek the optimal cooling channels in forced convection of vascularised material with the localised self-cooling property subject to heat flux. The isosceles right triangular channel configuration was studied for family of porosities. The isosceles right triangle is special case of triangle which can easily and uniformly be packed and arranged to form a larger constructs. The objective was to optimise the configurations in such a way that the peak temperature was minimised at every point in the solid body. The optimisation was subject to the constraint of fixed global volume of solid material, but the elemental volume was allowed to morph. The solid material was subject to heat flux on one side and the cooling fluid was forced through the channels in opposite direction of the heated side of the solid body by the specified pressure difference