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首页> 外文期刊>International Journal of Heat and Mass Transfer >Identification of boundary heat fluxes in a falling film experiment using high resolution temperature measurements
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Identification of boundary heat fluxes in a falling film experiment using high resolution temperature measurements

机译：使用高分辨率温度测量在降膜实验中识别边界热通量

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摘要

In this paper, we consider a three-dimensional inverse heat conduction problem (IHCP) in a falling film experiment. The wavy film is heated electrically by a thin constantan foil and the temperature on the back side of this foil is measured by high resolution infrared (IR) thermography. The transient heat flux at the inaccessible film side of the foil is determined from the IR data and the electrical heating power. The IHCP is formulated as a mathematical optimization problem, which is solved with the conjugate gradient method. In each step of the iterative process two direct transient heat conduction problems must be solved. We apply a one step θ-method and piecewise linear finite elements on a tet-rahedral grid for the time and space discretization, respectively. The resulting large sparse system of equations is solved with a preconditioned Krylov subspace method. We give results of simulated experiments, which illustrate the performance and tuning of the solution method, and finally present the estimation results from temperature measurements obtained during falling film experiments.
机译：在本文中，我们在降膜实验中考虑了三维逆导热问题（IHCP）。波浪状的薄膜由一个薄的康斯坦丝箔进行电加热，并且该箔背面的温度通过高分辨率红外（IR）热像仪进行测量。由红外数据和电加热功率确定箔片难以接近的薄膜侧的瞬态热通量。 IHCP被公式化为一个数学优化问题，可通过共轭梯度法解决。在迭代过程的每个步骤中，必须解决两个直接的瞬态热传导问题。我们分别在时间和空间离散化上在tet-hedral网格上应用一步θ方法和分段线性有限元。用预处理的Krylov子空间方法求解所得的大型稀疏方程组。我们给出了模拟实验的结果，这些结果说明了求解方法的性能和调整，最后给出了在降膜实验期间获得的温度测量结果的估计结果。

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