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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Application of adjustment calculus to the Trefftz method for calculating temperature field of the boiling liquid flowing in a minichannel
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Application of adjustment calculus to the Trefftz method for calculating temperature field of the boiling liquid flowing in a minichannel

机译：调整演算在Trefftz方法中计算微通道中沸腾液体温度场的应用

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Purpose - The purpose of this paper is to focus on the application of the Trefftz method to the calculation of the two-dimensional (2D) temperature field in the boiling refrigerant flow through an asymmetrically heated vertical minichannel with a rectangular cross-section. The considerations were limited to determining the temperature of the continuous phase - liquid for bubbly and bubbly-slug flow. The numerical solution found with the Trefftz methods was compared with the simplified solution. For nucleate boiling, heat transfer coefficient at the heating foil - liquid contact was determined. Design/methodology/approach - The Trefftz method was used to determine 2D temperature distributions for the glass pane, the heating foil and the boiling liquid. The temperature fields were approximated by the sum of the particular solution and the linear combination of suitable Trefftz functions. Coefficients of linear combination were computed using experimental data, including heating foil temperature measurements obtained with the liquid-crystal method and experimentally determined void fraction. The computations were based on the Trefftz method supplemented with the adjustment calculus. Findings - The way of solving direct and inverse problems of heat conduction in solid bodies (isolating glass, heating foil) and in liquids (boiling refrigerant flowing through the minichannel) was presented. For the first time, both 2D temperature fields for the heating foil and the boiling liquid were calculated while simultaneously using the Trefftz method. The known temperature values of the foil and liquid allowed the calculation of the heat transfer coefficient and the heat flux at the heating foil-liquid contact. Adjustment calculus implemented into the Trefftz method was used to smooth the measurement data and to reduce their errors. Practical implications - The approach proposed in the paper can be applied to determining 2D temperature field, heat flux and heat transfer coefficient in direct and inverse problems concerning two-phase flowing miniature compact heat exchangers. Originality/value - The paper presents a novel implementation of the Trefftz method to simultaneous solving an inverse problem in the heating foil and the contacting flowing liquid.
机译：目的-本文的目的是着眼于Trefftz方法在计算通过矩形截面的非对称加热垂直小通道的沸腾制冷剂流中的二维（2D）温度场中的应用。这些考虑仅限于确定连续相的温度-气泡和气泡流的液体。将使用Trefftz方法找到的数值解与简化解进行了比较。对于核沸腾，确定在加热箔片-液体接触处的传热系数。设计/方法/方法-使用Trefftz方法确定玻璃板，加热箔和沸腾液体的二维温度分布。通过特定解决方案的总和以及合适的Trefftz函数的线性组合来估算温度场。使用实验数据计算线性组合的系数，包括通过液晶方法获得的加热箔温度测量值和实验确定的空隙率。计算是基于Trefftz方法并辅以调整演算。发现-提出了解决固体（隔热玻璃，加热箔）和液体（沸腾的制冷剂流经微型通道）中的热传导的正反问题的方法。首次同时使用Trefftz方法计算了加热箔和沸腾液体的二维温度场。箔和液体的已知温度值允许计算在加热箔-液体接触时的传热系数和热通量。使用Trefftz方法中实现的调整演算来平滑测量数据并减少其误差。实际意义-本文提出的方法可用于确定涉及两相流小型紧凑型热交换器的正反问题中的二维温度场，热通量和传热系数。原创性/价值-本文提出了Trefftz方法的新颖实现，可以同时解决加热箔和接触流动的液体中的逆问题。

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