Investigations on the internal shape of Constructal cavities intruding a heat generating body

This paper deals with the influence that the internal shape of open ‘cavities’ exerts on the Constructal design of a heat generating body. Several shapes of cavity are studied; triangular, elliptical, trapezoidal and Y-shaped cavities intruding into a trapezoidal shaped solid with uniform heat generation. The trapezoidal solid is commonly used in round electronic devices. The geometric aspect ratios of the cavities and the solid are free to vary while the total volume occupied by the solid and the cavity are fixed. The objective is minimizing the peak (hot spot) temperature with respect to the geometrical parameters of the system. Finite element method is employed to calculate the peak temperature of the solid. With respect to the Constructal thermal design, the numerical results prove that, utilizing the triangular and Y-Shaped cavities can result more reliable and effective rather than other studied cavities.