Optimal configurations for plate heat exchangers.

Author(s)

Jorge Andrey Wilhelms Gut

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Escola Politécnica (EP/BC)
• Defense date: 2003-06-18

Examining board members

Jose Mauricio Pinto; Reginaldo Guirardello; Javier Telis Romero; Tah Wun Song; Carmen Cecilia Tadini

• Advisor: Jose Mauricio Pinto

Abstract

The aim of this work is to develop optimization techniques for determining the best configuration of gasketed plate heat exchangers. The configuration of a plate heat exchanger defines the distribution of the hot and cold streams inside the plate-pack and it is defined by the number of channels, by the number of passes in each side and by the locations of the fluids and feed connections. A set of six parameters is used for the configuration characterization. The steady-state model of the plate heat exchanger is formulated in an algorithmic form, since it is not possible to represent it explicitly as a function of the six configuration parameters. The resulting system is composed of ordinary differential equations of the boundary value type and non-linear algebraic equations, which is numerically solved with the method of finite differences. The analysis of several simulation examples showed that the assumption of constant overall heat transfer coefficient is not limiting for the overall rating of the heat exchanger. The experimental validation of the steady-state model was accomplished through the estimation of heat transfer parameters for a set of experiments with different configurations. Moreover, the dynamic modeling of the plate heat exchanger is presented intending the simulation of unsteady-state operation and the use of controllers. A screening procedure is proposed for determining the best configuration of the exchanger. In this procedure, the constraints are successively used to eliminate unfeasible and non-optimal cases. Using a structured search method and identifying the equivalent configurations, all the exchangers with the smallest heat exchange area can be obtained employing the proposed method with very reduced computational effort. The performance of the method is studied thoroughly through two optimization example problems. For the case of the pasteurization processes, where the plate heat exchangers have multiple sections, it is proposed a branching method for selecting the best configuration for the heating, cooling and regeneration sections. This method consists of a very efficient search algorithm, able to locate the configurations with minimum fixed and operational costs requiring an extremely reduced number of exchanger evaluations, considering the large dimensions of the problem and its complexity. (AU)

• FAPESP's process: 00/13635-4 - Optimal configurations for plate heat exchangers
• Grantee: Jorge Andrey Wilhelms Gut
• Support Opportunities: Scholarships in Brazil - Doctorate