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Linear method for the design of shell and tube heat exchangers using the Bell–Delaware method
Author(s) -
Gonçalves Caroline,
Costa André L. H.,
Bagajewicz Miguel J.
Publication year - 2019
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.16602
Subject(s) - heat exchanger , integer programming , heat transfer , pressure drop , linear programming , shell and tube heat exchanger , mathematical optimization , ntu method , nonlinear system , nonlinear programming , mathematics , computer science , thermodynamics , engineering , mechanical engineering , micro heat exchanger , plate heat exchanger , physics , quantum mechanics
In this article, we present a rigorous reformulation of the Bell–Delaware model for the design optimization of shell and tube heat exchanger to obtain a linear model. We extend a previously presented methodology1,2 of rigorously reformulate the mixed‐integer nonlinear programing Kern model and we add disjunctions to automatically choose the different correlations to calculate heat transfer coefficients and pressure drop under different flow regimes. The linear character of the formulation allows the identification of the global optimum, even using conventional optimization algorithms. The proposed mixed‐integer linear programming formulation with the Bell–Delaware method is able to identify feasible solutions for the design of heat exchangers at a lower cost than those obtained through conventional design formulations in the literature. Comparisons with the Kern method also indicate an average 22% difference (usually lower) in area.