Heat transfer enhancement (HTE) is an efficient technology to improve the performance of shell and tube heat exchangers (STHEs). While there exist many commercial software packages, heat exchanger design still highly depends on users’ experiences, resulting in long computing time and inferior solutions. Therefore, a systematic optimization methodology is required in order to achieve an efficient and accurate design solution. This paper presents a generalized disjunctive programming (GDP) model for the optimization of STHE design. It is formulated as a mixed integer non-linear programming (MINLP) problem, involving selection for 12 technology combinations (four tube-side techniques, three shell-side techniques), and all discrete decisions for each selection are modeled by disjunctions. The model is then applied to minimize the total capital cost. Both global optimization solver BARON, and general MINLP solver DICOPT are tested. The results show that the developed method provides a better design solution compared with conventional STHE design procedures.

传热增强（HTE）是一种有效的技术，可提高管壳式换热器（STHEs）的性能。尽管存在许多商业软件包，但是热交换器的设计仍然高度依赖于用户的经验，从而导致计算时间长且解决方案差。因此，需要一种系统的优化方法以实现有效和准确的设计解决方案。本文提出了用于优化STHE设计的广义析取规划（GDP）模型。它被表述为混合整数非线性规划（MINLP）问题，涉及对12种技术组合的选择（四种管侧技术，三种壳侧技术），并且每种选择的所有离散决策都通过析取来建模。然后应用该模型以最小化总资本成本。全局优化求解器BARON和常规MINLP求解器DICOPT均经过测试。结果表明，与传统的STHE设计程序相比，该方法提供了更好的设计方案。