Mathematical programming model for heat exchanger design through optimization of partial objectives

Onishi, Viviani C.; Ravagnani, Mauro A.S.S.; Caballero, Jos� A.

Abstract

Mathematical programming can be used for the optimal design of shell-and-tube heat exchangers (STHEs). This paper proposes a mixed integer non-linear programming (MINLP) model for the design of STHEs, following rigorously the standards of the Tubular Exchanger Manufacturers Association (TEMA). Bell–Delaware Method is used for the shell-side calculations. This approach produces a large and non-convex model that cannot be solved to global optimality with the current state of the art solvers. Notwithstanding, it is proposed to perform a sequential optimization approach of partial objective targets through the division of the problem into sets of related equations that are easier to solve. For each one of these problems a heuristic objective function is selected based on the physical behavior of the problem. The global optimal solution of the original problem cannot be ensured even in the case in which each of the sub-problems is solved to global optimality, but at least a very good solution is always guaranteed. Three cases extracted from the literature were studied. The results showed that in all cases the values obtained using the proposed MINLP model containing multiple objective functions improved the values presented in the literature.

Citation

Onishi, V. C., Ravagnani, M. A., & Caballero, J. A. (2013). Mathematical programming model for heat exchanger design through optimization of partial objectives. Energy Conversion and Management, 74, 60-69. https://doi.org/10.1016/j.enconman.2013.05.011

• Journal Article Type: Article
• Acceptance Date: May 1, 2013
• Online Publication Date: May 31, 2013
• Publication Date: 2013-10
• Deposit Date: Oct 9, 2020
• Journal: Energy Conversion and Management
• Print ISSN: 0196-8904
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 74
• Pages: 60-69
• DOI: https://doi.org/10.1016/j.enconman.2013.05.011
• Keywords: Mathematical programming, Mixed integer non-linear programming (MINLP), Heat exchanger design, Shell-and-tube heat exchanger (STHE), Sequential optimization
• Public URL: http://researchrepository.napier.ac.uk/Output/2690883