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THERMODYNAMIC FORMULATION OF THE CONSTRUCTAL LAW

机译:构造法的热力学公式

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摘要

In this paper we develop an analytical and graphical formulation of the constructal law of maximization of flow access in systems with heat and fluid flow irreversibilities and freedom to change configuration. The flow system has global objective (e.g., minimization of global flow resistance) and global constraints (e.g., overall size, and total duct volume). The infinity of possible flow structures occupies a region of the two-dimensional domain of "global performance versus freedom to morph". This region of "nonequilibrium" flow structures is bounded by a line representing the best flow structures that are possible when the freedom to morph is limited. The best of all such structures are the "equilibrium" structures: here the performance level is the highest, and it does not change even though the flow architecture continues to change with maximum freedom. The universality of this graphical and analytical presentation is illustrated with examples of flow structures from three classes: flow between two points, flow between a circle and its center, and flow between one point and an area. In sum, this paper presents an analytical and graphical formulation of the constructal principle of thermodynamic optimization of flow architecture under global constraints. The place of this new and self-standing principle in the greater framework of thermodynamics is outlined.
机译:在本文中,我们开发了具有热和流体流动不可逆性且自由更改配置的系统中最大化流动通道构造规律的分析和图形表示。流动系统具有整体目标(例如,使整体流动阻力最小化)和整体约束(例如,整体尺寸和总风管体积)。无限可能的流动结构占据了“全局性能与变形自由”的二维域区域。 “非平衡”流动结构的该区域由代表最佳流动结构的线界定,该线在变形自由受到限制时可能出现。所有这些结构中最好的就是“平衡”结构:这里的性能水平是最高的,即使流量体系结构以最大的自由度继续变化,它也不会改变。通过三个类别的流动结构示例说明了这种图形和分析表示形式的通用性:两点之间的流动,圆和其中心之间的流动以及一个点和一个区域之间的流动。总之,本文提出了在整体约束下流动结构热力学优化构造原理的分析和图形表示。概述了这一新的自立原理在更大的热力学框架中的地位。

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