Abstract The complex permittivity of a multiphase aqueous solution is measured in the microwave frequency range of 2.8–6GHz using the cavity perturbation method for a temperature domain of −15 °C up to 0 °C in order to determine the volume fraction of ice in the mixture. The multiphase aqueous substance contains liquid and solid water (H2OL + H2OS), carbon dioxide gas (CO2) and high-fructose corn syrup. The results capture the dielectric relaxation behavior of the multiphase samples as a function of temperature and show the subtle differences in the mathematical models used to compute the volume fractions. A three-dimensional finite-element simulation has been used in order to confirm the resonant frequency values obtained experimentally and results show good agreement with the numerical solution.

中文翻译：

---

使用微波范围内的复介电常数研究非等温条件下的多相水溶液

摘要 在 2.8–6GHz 的微波频率范围内，使用腔微扰法在 -15 °C 至 0 °C 的温度范围内测量多相水溶液的复介电常数，以确定水中冰的体积分数。混合物。多相水性物质包含液态和固态水（H2OL+H2OS）、二氧化碳气体（CO2）和高果糖玉米糖浆。结果捕获了作为温度函数的多相样品的介电弛豫行为，并显示了用于计算体积分数的数学模型的细微差异。已使用三维有限元模拟来确认实验获得的共振频率值，结果显示与数值解具有良好的一致性。