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Showing papers on "Constructal law published in 2000"


Journal ArticleDOI
TL;DR: In this paper, the authors report the geometric (constructal) optimization of T-shaped fin assemblies, where the objective is to maximize the global thermal conductance of the assembly, subject to total volume and fin-material constraints.

169 citations


Journal ArticleDOI
TL;DR: In this article, the authors describe the geometric optimization of the internal structure of a volume that generates heat at every point and is cooled by a single stream and show that in the end the fluid channels form a tree network that cools every point of the given volume.

130 citations


Journal ArticleDOI
Adrian Bejan1
TL;DR: In this article, the authors present a recent body of work that bases on a deterministic (constructal) principle the occurrence of geometric form in systems with internal flows, which allows us to anticipate the natural flow architectures that surround us.
Abstract: This lecture reviews a relatively recent body of heat transfer work that bases on a deterministic (constructal) principle the occurrence of geometric form in systems with internal flows. The same principle of global optimization subject to constraints allow us to anticipate the natural (animate and inanimate) flow architectures that surround us. The lecture starts with the example of the optimal spatial distribution of material (e.g., heat exchanger equipment) in power plants. Similarly, void space can be allocated optimally to construct flow channels in the volume occupied by a heat generating system. The lecture continues with the optimization of the path for heat flow between a volume and one point. When the heat flow can choose between at least two paths, low conductivity versus high conductivity, the optimal flow structure for minimal global resistance in steady flow is a tree. Nearly the same tree is deduced by minimizing the time of discharge in the flow from a volume to one point. Analogous tree-shaped flows are constructed in pure fluid flows, and in flow through a heterogeneous porous medium. The optimization of trees that combine heat transfer and fluid flow is illustrated by means of two-dimensional trees of plate fins

98 citations


Journal ArticleDOI
TL;DR: In this paper, the authors extend the constructal optimization method to cylindrical assemblies of pin fins and propose a tree-like construct with one stem and many radial branches, where the length scale of the spacing between adjacent elemental fins is selected based on earlier results regarding the forced convection of compact electronic packages.

62 citations


Journal ArticleDOI
TL;DR: In this paper, the constructal theory of shape and structure in natural flow systems that connect one point to a finite size area or volume is extended to economics, and it is shown that by invoking the principle of cost minimization in the transport of goods between a point and an area, it is possible to anticipate the dendritic pattern of transport routes that cover the area, and the shapes and numbers of the interstitial areas of the Dendrite.

48 citations


Journal ArticleDOI
TL;DR: In this article, the authors extended the constructal theory of shape and structure in natural flow systems to economics, and showed that by maximizing the revenue in transactions between a point and an area, it is possible to derive not only the dendritic pattern of routes and their interstices, but also the optimal size of the smallest (elemental) interstitial area.

40 citations


Proceedings ArticleDOI
Adrian Bejan1
01 Jan 2000
TL;DR: This lecture outlines the basis for the entropy generation minimization method, and a series of key applications in power generation, refrigeration, and energy conservation.
Abstract: This lecture outlines the basis for the entropy generation minimization method, and a series of key applications in power generation, refrigeration, and energy conservation The lecture begins with a review of the conceptof irreversibility, entropy generation, or exergy destruction The proportionality between exergy destruction and entropy generation is used in the search for improved thermodynamic performance subject to finite-size constraints and specified environmental conditions Examples are drawn from refrigeration, energy storage systems for sensible heat and latent heat, solar energy, and the generation of maximum power by using a stream of hot gas It is shown that the physical structure of the system springs out of the process of global thermodynamic optimization subject to global constraints This principle generates structure not only in engineering but also in physics and biology (constructal theory)

14 citations