ABSTRACT

Heat transfer and cooling solutions play an important role in the design of gas turbine blades. However, the underlying mathematical coupling structures have not been thoroughly investigated. In this work, the port-Hamiltonian formalism is applied to the conjugate heat transfer problem in gas turbine blades. A mathematical model based on common engineering simplifications is constructed and further simplified to reduce complexity and focus on the coupling structures of interest. The model is then cast as a port-Hamiltonian system and examined for stability and well posedness.

中文翻译：

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耦合传热的 Port-Hamiltonian 公式

摘要

传热和冷却解决方案在燃气轮机叶片的设计中发挥着重要作用。然而，尚未彻底研究潜在的数学耦合结构。在这项工作中，port-Hamiltonian 形式应用于燃气轮机叶片中的共轭传热问题。构建并进一步简化了基于常见工程简化的数学模型，以降低复杂性并专注于感兴趣的耦合结构。然后将该模型转换为 Port-Hamiltonian 系统，并检查其稳定性和适形性。