EAGER: Application of Calibration Convolution Integrals to Diffusion Transport

CBET-1153476PI：Frankel拟议的工作将启动一种变革性的校准方法的开发，用于在高度恶劣的热环境中估计地表热通量，而不需要地面仪器。这一概念对于研究：a)与高超声速飞行器相关的热保护系统的有效性或用于了解高超声速燃烧室的热效率；b)由于不利的热事件而在无法到达的表面结构上的热传递，例如在燃烧衬里、小燃烧室和安全壳中；以及c)池火或爆炸引起的结构上的热传递。提出了一种综合了物理原理、实验原理、数学原理和计算原理的计算方法。由此产生的解析公式隐含地拥有完整的传感器表征、探头定位、宿主材料的热物理性质、扩散物理以及稳定和准确的表面热流预测所需的数学常数。新的校准方法得到了第一类Volterra积分方程，因此，试件或试件可以解释为准备实际实施的换能器。需要进一步的分析和计算研究才能在现实世界中实施。该提案的智力价值集中在涉及高温环境的新材料开发的关键应用上。响应最先进的准确估计表面热流和温度的方法，包括传感器特性，对于涉及高度恶劣环境的许多应用来说，仍然需要分辨率。这项研究工作将及时和迅速地影响航空航天、能源、火灾、燃烧、地球物理、国防和国家安全的研究和发展。

CBET-1153476PI: FrankelThe proposed effort will initiate the development of a transformative calibration method for estimating surface heat flux in highly hostile thermal environments without requiring surface instrumentation. This concept has substantive merit for investigating: a) the effectiveness of thermal protection systems associated hypersonic flight vehicles or for understanding thermal efficiencies in hypersonic combustors; b) heat transfer on unreachable surface structures such as found in combustion liners, small chambers, and containment walls as a result of a hostile thermal event; and, c) heat transfer on structures emanating from pool fires or explosions. A comprehensive method is proposed that integrates physical, experimental, mathematical and computational principles. The resulting analytic formulation implicitly possesses full-sensor characterization, probe positioning, host material thermophysical properties, diffusion physics, and mathematical constants required for stable and accurate surface heat flux predictions. The new calibration method leads to a Volterra integral equation of the first kind; and, thus the coupon or specimen can be interpreted as a transducer ready for practical implementation. Further analytical and computational study is required for real-world implementation. The intellectual merit of the proposal centers about critical applications for new material development involving high temperature environments. Responsive state-of-the-art accurate methods for estimating surface heat flux and temperature that includes sensor characterization still requires resolution for many applications involving highly hostile environments. The research effort will impact aerospace, energy, fire, combustion, geophysical, defense and national security research and developments in a timely and responsive manner.