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Synchronizing time-varying discrete heating elements in forced convection for minimal thermal resistance

机译:在强制对流中使时变离散加热元件同步,以使热阻最小

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In this paper, we numerically optimize the triggering time of several discrete heaters attached to a channel in forced convection. The flow is assumed laminar and fully developed and the strength of each dissipating heat source is determined by a sinusoidal function of time having a phase lag (Φ) and a frequency (ω). The objective of this work summarizes to numerically determine an optimal set of activation phase lag and position for each heater, such that minimal thermal resistance is achieved for the system. The calculations were performed using a finite volume numerical code. The temperature history in any point of the channel was decomposed as a combination of steady-state and two harmonic components leading to a linear system of differential equations. The optimization procedure relied on a genetic algorithm, which was coupled to the numerical code implemented. The optimized results show that the activation phase lag and position of each heater can significantly decrease the overall thermal resistance. The designs optimized with respect to phase lags are relatively insensitive to frequency. The numerical results were found to qualitatively agree with the scale analysis proposed.
机译:在本文中,我们在数值上优化了在强制对流中连接到通道的几个离散加热器的触发时间。假定流动是层流且充分展开的,每个耗散热源的强度由具有相位滞后(Φ)和频率(ω)的时间的正弦函数确定。这项工作的目的概括为,以数字方式确定每个加热器的最佳激活相位滞后和位置,以使系统获得最小的热阻。使用有限体积数字代码进行计算。通道任一点的温度历史被分解为稳态和两个谐波分量的组合,从而形成了一个微分方程的线性系统。优化过程依赖于遗传算法,该遗传算法与所实现的数字代码耦合。优化结果表明,每个加热器的激活相位滞后和位置会显着降低整体热阻。针对相位滞后进行优化的设计对频率相对不敏感。发现数值结果在质量上与所提出的规模分析吻合。

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