Abstract A new correlation to account for the radial heat transfer in fixed-beds modeled via a 2D pseudo-homogeneous approach is presented in this contribution. Compared to state-of-the-art heat transfer correlations, no points of discontinuity are included in the definition of the new heat transfer correlation. This enables a direct application of gradient-based solution algorithms for the reactor design via numerical optimization. The presented heat transfer correlation is based on individually considering the influence of the radial velocity profile and radial bed voidage profile in the fixed-bed on the heat transfer. The predictive performance of the presented heat transfer correlation is benchmarked against the state-of-the-art heat transfer correlation proposed by Winterberg et al. for both, spherical and cylindrical shaped particles, based on an evaluation of a broad measurement data basis from literature heat transfer experiments.

中文翻译：

---

一种适用于通过数值优化设计的固定床反应器的新传热关系式

摘要 在这篇文章中，提出了一种新的相关性，用于解释通过 2D 伪均质方法建模的固定床中的径向传热。与最先进的热传递相关性相比，新的热传递相关性的定义中不包含不连续点。这使得能够通过数值优化将基于梯度的求解算法直接应用于反应器设计。所呈现的传热相关性基于单独考虑固定床中径向速度分布和径向床空隙分布对传热的影响。所提出的传热相关性的预测性能以 Winterberg 等人提出的最先进的传热相关性为基准。对于球形和圆柱形颗粒，