Because of its excellent insulation capability, the usage of a silica-phenolic charring ablator as a nozzle liner is a common practice in the solid rocket motor industry. During the design of a solid rocket motor employing a silica-phenolic nozzle liner, it is desired to conduct an accurate analysis yielding in-depth thermal response and recession characteristics. As the interior ballistics and nozzle recession rate mutually interact, the best practice is to perform a coupled solution to both. Commonly used one-dimensional analysis tools with empirical approaches for estimation of convective heat transfer rate and blowing effect generally lack sought accuracy and do not model the transient shape-change phenomenon, which affects the nozzle performance. This Paper considers governing equations for charring, including pyrolysis gas injection and surface energy balance for melting ablation, along with a boundary condition governed by interior ballistics, and demonstrates a framework in which these equations are solved with governing equations for the nozzle flowfield in a coupled manner. Development and validation of a one-dimensional material response solver based on the same governing equations is also demonstrated. Also, results from a static firing test conducted with a small-scale ballistic evaluation motor employing a silica-phenolic nozzle insert are provided. Results from both investigations are compared and discussed.

由于其出色的绝缘性能，在固体火箭发动机工业中，通常采用硅酚炭烧蚀消融剂作为喷嘴衬里。在设计采用二氧化硅-酚醛喷嘴衬里的固体火箭发动机期间，希望进行精确的分析以产生深入的热响应和回缩特性。由于内部弹道与喷嘴后退率相互影响，因此最佳实践是对两者进行耦合解决方案。常用的具有经验方法的一维分析工具，用于估计对流传热速率和吹气效果，通常缺乏寻求的准确性，并且无法对影响喷嘴性能的瞬态形状变化现象进行建模。本文考虑了炭化的控制方程，包括热解气体注入和用于熔化消融的表面能平衡，以及由内部弹道控制的边界条件，并演示了一个框架，其中这些方程式与喷嘴流场的控制方程式以耦合方式求解。还演示了基于相同控制方程的一维材料响应求解器的开发和验证。另外，提供了由使用二氧化硅-酚醛喷嘴嵌件的小型弹道评估电动机进行的静态点火测试的结果。比较和讨论了两次调查的结果。并展示了一个框架，其中这些方程式通过喷嘴流场的控制方程式以耦合方式求解。还演示了基于相同控制方程的一维材料响应求解器的开发和验证。另外，提供了由使用二氧化硅-酚醛喷嘴嵌件的小型弹道评估电动机进行的静态点火测试的结果。比较和讨论了两次调查的结果。并展示了一个框架，其中这些方程式通过喷嘴流场的控制方程式以耦合方式求解。还演示了基于相同控制方程的一维材料响应求解器的开发和验证。另外，提供了由使用二氧化硅-酚醛喷嘴嵌件的小型弹道评估电动机进行的静态点火测试的结果。比较和讨论了两次调查的结果。