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针对双螺旋或多螺旋换热器的非稳态传热问题,提出一种获得换热器水箱温度分布的解析解模型。该模型将水箱传热问题简化为基于线圈模型的有限大空间内的二维绝热边界传热问题。采用虚拟热源法和热源温度场叠加法,推导出有限长线圈热源在有限大绝热空间内进行非稳态导热的水箱温度场解析解表达通式。以直热式空气源热泵热水器为例,在不同环境温度条件下,对蓄热水箱的非稳态温度场进行实验测量,实验结果与理论解析解模型获得的计算结果一致,从而验证解析解模型的可靠性和准确性。该文提出的螺旋换热器水箱导热解析解模型为研究该问题提供一种快捷而有效的分析方法。
Aiming at the unsteady heat transfer problem of double helix or multi-helix heat exchanger, an analytical solution to obtain the temperature distribution of heat exchanger tank is proposed. The model simplifies the problem of heat transfer in a tank to a two-dimensional adiabatic boundary heat transfer problem in a limited space based on a coil model. By using the virtual heat source method and the heat source temperature field superposition method, the general expression of the temperature field of a tank with unsteady heat conduction in a finitely large heat insulation space is derived. Taking the direct heat source air-source heat pump water heater as an example, the unsteady temperature field of the regenerative water tank was measured under different ambient temperature conditions. The experimental results are in good agreement with those obtained by the theoretical analytical solution model, so as to verify the analytical solution Model reliability and accuracy. The proposed analytical model of thermal conductivity of the spiral heat exchanger water tank provides a quick and effective analytical method for the study of the problem.