Modeling thermal behavior and work flux in finite-rate systems with radiation

Stanislaw Sieniutycz; Piotr Kuran

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Modeling thermal behavior and work flux in finite-rate systems with radiation

机译：辐射有限速率系统中的热行为和工作通量建模

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We apply thermodynamic analysis in modeling, simulation and optimization of radiation engines as non-linear energy converters. We also perform critical analysis of available data for photon flux and photon density that leads to exact numerical value of photon flux constant. Basic thermodynamic principles lead to expressions for converter's efficiency and generated work in terms of driving energy flux in the system. Steady and dynamical processes are investigated. In the latter, associated with an exhaust of radiation resource measured in terms of its temperature decrease, real work is a cumulative effect obtained in a system composed of a radiation fluid, sequence of engines, and an infinite bath. Variational calculus is applied in trajectory optimization of relaxing radiation described by a pseudo-Newtonian model. The principal performance function that expresses optimal work depends on thermal coordinates and a dissipation index, h, in fact a Hamiltonian of the optimization problem for extremum power or minimum entropy production. As an example of work limit in the radiation system under pseudo-Newtonian approximation the generalized exergy of radiation fluid is estimated in terms of finite rates quantified by Hamiltonian h. The primary results are dynamical equations of state for radiation temperature and work output in terms of process control variables. In the second part of this paper these equations and their discrete counterparts will serve to derive efficient algorithms for work optimization in the form of Hamilton-Jacobi-Bellman equations and dynamic programming equations. Significance of non-linear analyses in dynamic optimization of radiation systems is underlined.

机译：我们将热力学分析应用于作为非线性能量转换器的辐射引擎的建模，仿真和优化。我们还对光子通量和光子密度的可用数据进行严格分析，从而得出光子通量常数的精确数值。基本的热力学原理导致了转换器效率的表达，并根据驱动系统中的能量通量产生了功。研究了稳态和动态过程。在后者中，与根据其温度降低而测量的辐射资源的排放量相关，实际功是在由辐射流体，发动机序列和无限浴池组成的系统中获得的累积效应。变分演算应用于伪牛顿模型描述的松弛辐射的轨迹优化。表示最佳功的主要性能函数取决于热坐标和耗散指数h，实际上是极值功率或最小熵产生的最优化问题的哈密顿量。作为在拟牛顿近似下辐射系统中工作极限的一个例子，根据哈密顿量h量化的有限速率估算了辐射流体的广义本能。主要结果是根据过程控制变量得出的辐射温度和功输出的动态状态方程。在本文的第二部分中，这些方程及其离散对等体将以Hamilton-Jacobi-Bellman方程和动态规划方程的形式导出高效的工作优化算法。强调了非线性分析在辐射系统动态优化中的意义。

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来源
《International Journal of Heat and Mass Transfer》 |2006年第18期|p.3264-3283|共20页
作者
Stanislaw Sieniutycz; Piotr Kuran;
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作者单位

Faculty of Chemical and Process Engineering, Warsaw University of Technology, 1 Warynskiego, Warsaw 00-645, Poland;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类热力工程理论;热学;
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Modeling thermal behavior and work flux in finite-rate systems with radiation

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