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首页> 外文期刊>International Journal of Heat and Mass Transfer >Determining boundary heat flux profiles in an enclosure containing solid conducting block
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Determining boundary heat flux profiles in an enclosure containing solid conducting block

机译：确定包含固体导电块的外壳中的边界热通量分布

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摘要

A numerical implementation of estimating boundary heat fluxes in enclosures is proposed in the present work. Particularly, the flow field is dynamically coupled with the heat convection in the fluid and the heat conduction in the solid domain. An iterative conjugate gradient method is applied such that the gradient of the cost function is introduced when the appropriate sensitivity and adjoint problems are defined. In this approach, no a priori information is needed about the unknown function to be determined. Numerical solutions are obtained for the case of a square enclosure centrally-inserted with a solid block and subjected to an unknown heat flux on one side and to known conditions on the remaining sides. Fluid and heat transports are visualized by the streamlines and heatlines respectively, which are evidently affected by the thermal Rayleigh number, solid body size and thermal conductivity of solid phase, and the functional form of the imposed heat flux. The accuracy of the heat flux profile estimations is shown to depend strongly on the thermal Rayleigh number, body size and relative thermal conductivity of the solid material. Effects of functional form of the unknowns, sensors number and position, and measurement errors on the accuracy of estimation are also investigated. The present work is significant for the flow control simultaneously involving the heat conduction and convection.
机译：在目前的工作中，提出了一种估算外壳中边界热通量的数值方法。特别地，流场与流体中的热对流和固体域中的热传导动态地耦合。应用迭代共轭梯度法，以便在定义适当的灵敏度和伴随问题时引入成本函数的梯度。在这种方法中，不需要关于待确定的未知功能的先验信息。对于在中心插入实心块并在一侧受到未知热通量而在其余侧受到已知条件的方形外壳的情况，可以获得数值解。流体和热传递分别通过流线和热线可视化，这显然受热瑞利数，固相的固体大小和热导率以及施加的热通量的功能形式的影响。热通量分布估计值的准确性在很大程度上取决于固体材料的热瑞利数，体尺寸和相对热导率。还研究了未知数的功能形式，传感器数量和位置以及测量误差对估计精度的影响。目前的工作对于同时进行热传导和对流的流量控制具有重要意义。

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