EAGER: Application of Calibration Convolution Integrals to Diffusion Transport

CBET-1153476 PI：FrankelThe提议的努力将启动一种变革性校准方法的开发，用于在高度恶劣的热环境中估计表面热通量，而不需要表面仪器。这一概念在以下几个方面具有实质性的研究价值：（a）与高超音速飞行器有关的热防护系统的有效性，或理解高超音速燃烧室的热效率;（B）由于不利的热事件而在不可到达的表面结构上的热传递，如在燃烧衬套、小燃烧室和安全壳壁中发现的;（c）由于池火或爆炸而在结构上产生的热传递。提出了一种综合的方法，它集成了物理，实验，数学和计算原理。 所得到的解析公式隐含地具有完整的传感器表征，探头定位，主机材料的热物理性质，扩散物理，和稳定和准确的表面热通量预测所需的数学常数。新的校准方法导致的沃尔泰拉积分方程的第一类，因此，试样或标本可以被解释为一个传感器准备实际实施。进一步的分析和计算研究需要在现实世界中实现。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。 用于估计表面热通量和温度（包括传感器表征）的响应式最先进的精确方法仍然需要解决涉及高度恶劣环境的许多应用。研究工作将影响航空航天，能源，火灾，燃烧，地球物理，国防和国家安全的研究和发展，及时和响应的方式。

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.