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首页> 外文期刊>Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology >Inverse forced convection problem of simultaneous estimation of two boundary heat fluxes in irregularly shaped channels
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Inverse forced convection problem of simultaneous estimation of two boundary heat fluxes in irregularly shaped channels

机译：同时估计不规则形状通道中两个边界热通量的逆强制对流问题

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摘要

This article deals with the use of the conjugate gradient method of function estimation for the simultaneous identification of two unknown boundary heat fluxes in channels with laminar flows. Tire irregularly shaped channel in the physical domain is transformed into a parallel plate channel in the computational domain by using an elliptic scheme of numerical grid generation, The direct problem, as well as the auxiliary problems and the gradient equations, required for the solution of the inverse problem with the conjugate gradient method are formulated in terms of generalized boundary-fitted coordinates. Therefore, the solution approach presented here can be readily applied to forced convection boundary inverse problems in channels of any shape. Direct and auxiliary problems are solved with finite volumes. The numerical solution for the direct problem is validated by comparing the results obtained here with benchmark solutions for smoothly expanding channels. Simulated temperature measurements containing random errors are used in the inverse analysis for strict cases involving functional forms with discontinuities and sharp corners for the unknown functions. The estimation of three different types of inverse problems are addressed in tire paper: (i) time-dependent hear fluxes: (ii) spatially dependent heat fluxes; and (iii) time and spatially dependent heat fluxes. [References: 42]
机译：本文讨论使用函数估计的共轭梯度方法同时识别层流通道中两个未知边界热通量。通过使用数值网格生成的椭圆方案，将物理域中的不规则形状的轮胎通道转换为计算域中的平行板通道。求解该问题所需的直接问题以及辅助问题和梯度方程共轭梯度法的反问题是根据广义的边界拟合坐标来表示的。因此，本文介绍的求解方法可以轻松应用于任何形状的通道中的强制对流边界逆问题。直接和辅助问题可以通过有限的体积来解决。通过将此处获得的结果与平滑扩展渠道的基准解决方案进行比较，可以验证直接问题的数值解。在逆分析中，对于涉及功能形式，未知功能的不连续和尖角的严格情况，将包含随机误差的模拟温度测量值用于反分析。轮胎纸中涉及三种不同类型的反问题的估计：（i）时间相关的听力通量：（ii）空间相关的热通量; （iii）时间和空间相关的热通量。 [参考：42]

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