# Design of Optimal Multistage Heat Exchanger

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Consider a three-stage heat exchanger optimal design problem [1, 2]. A cold fluid is heated from 100 °F to 500 °F by passing through three heat exchangers in series (labeled , , and in the diagram). At each stage, the cold stream is heated by a hot fluid. You can set the temperatures (expressed in °F) of the hot fluids entering the three heat exchangers. The overall heat transfer coefficients (expressed in Btu/hr ºF) of these exchangers are equal to , , and . Assume that the hot and cold fluids have the same flow rate and specific heat , and that Btu/hr ºF.

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Contributed by: Housam Binous and Ahmed Bellagi (January 2016)

(King Fahd University of Petroleum & Minerals, KSA; University of Monastir, Tunisia)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A detailed mathematical formulation of the problem (objective function and inequality constraints) is given in [1, 2].

References

[1] M. Avriel and A. C. Williams, "An Extension of Geometric Programming with Applications in Engineering Optimization," *Journal of Engineering Mathetmatics*, 5(2), 1971 pp. 187–194. doi10.1007/BF01535411.

[2] N. Andrei, *Nonlinear Optimization Applications Using the GAMS Technology*, New York: Springer, 2013.

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