Synthesis of multipass heat exchanger networks based on pinch technology

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Abstract

The multipass heat exchanger is the most common type of heat transfer equipment used in heat exchanger networks (HENs) by the chemical process industries. There are many methods that have been proposed for the synthesis of HENs with multipass heat exchangers, which are mostly derived from the FT design method. In this paper, an alternative new method to synthesis multipass HENs is presented based on the classical pinch technology. In the multipass heat exchanger, both countercurrent and co-current flow are involved. For the co-current flow, composite curves and problem tables are modified, and compared with that of the countercurrent flow. A proper minimum temperature difference is also selected considering the energy-capital cost trade-offs, and then a multipass HEN is synthesized. Results of the case study demonstrate that the new approach meets operating requirements and minimizes the total cost successfully.

Introduction

In industrial practice, multipass heat exchangers are commonly used because of advantages such as longer flow-paths for a given exchanger length, allowance for thermal expansion, easy mechanical cleaning, as well as good heat transfer coefficients on the tube side due to higher velocities (Ponce-Ortega, Serna-Gonzalez, Salcedo-Estrada, & Jimenez-Gutierrez, 2006).

Research efforts on the synthesis of heat exchanger networks (HENs) have been significant in the last few decades (Gundersen, 2000). However, most of the methods published for HENs synthesis problem consider the use of single pass exchangers (Colbert, 1989, Linnhoff and Flower, 1978, Zhu et al., 1995). In these methods, the pinch technology-based techniques have found applications in a wide range of designs for the countercurrent exchanger networks. Pinch technology is a sequential graphical HENs method based on the first law of thermodynamics and some constrains originated from the second law of thermodynamics (Predrag & Sreten, 2009). The first law is concerned with the energy balance (i.e. the conservation of energy constraint), and the second law ensures the positive temperature difference between the hot stream and the cold stream, in case they exchange the heat. Based on the concepts of pinch technology, it is feasible to design multipass HENs with the help of the first and second laws of thermodynamics.

The most common approach for the synthesis of multipass HENs is based on the FT correction factor (Galli and Cerda, 2000, Jose et al., 2008, Kern, 1950). During the design process, the rule of keeping FT > 0.75 is used to calculate the number of shells. The size of the exchanger is then found from the basic design equation. However, the evaluation of the FT correction factor depends on trial iterations and may be difficult to compute (Ponce-Ortega, Serna-Gonzalez, & Jimenez-Gutierrez, 2008). Fakheri (2003) has presented some explicit expressions that avoid the difficulties associated with the use of the FT charts. Ahmad and Smith (1989) introduced a new parameter, Xp, and derived simple equations to calculate the number of shells in series explicitly. Reddy, Rao, and Davies (1998) also proposed a set of rules for designing multipass HEN with a smaller number of 1–2 shells without the consideration of the trade-offs among the energy consumption, the number of units, and the area. Ponce-Ortega et al. (2006) presented an optimization method for the design of multipass heat exchangers by using the FT correction factor. In short, all of these studies are mainly based on the FT correction factor to optimize the multipass HENs.

To account effects of co-current flows in heat exchangers, the synthesis of the HEN with only co-current heat exchangers is firstly developed in this paper. By taking this as a starting point, and using classical pinch technology (Linnhoff et al., 1982), an alternative new method to synthesis the multipass HEN is proposed with the consideration of energy-capital cost trade-offs.

Section snippets

Synthesis of co-current heat exchangers based on the pinch design method

Multipass heat exchangers involve part countercurrent and part co-current flow. The pinch design method has been successfully used to synthesis countercurrent heat exchangers (Linnhoff & Flower, 1978). However, for the case of co-current flow, the classical pinch technology is modified. Through the composite curves and the problem table, a HEN with co-current exchangers is firstly developed. The pinch location, the number of heat exchangers and the minimum temperature difference for the

Composite curves

For multipass HENs, both the co-current and the countercurrent flow are involved. The composite curves are drawn according to the practical sequence of the co-current and the countercurrent flow. Take the HEN proposed by Glemmestad as an example, the parameters are shown in Table 1. Assuming the shell side is cold streams and the tube side is hot streams, the composite curves for the multipass HEN are presented by properly combining the temperature intervals based on the previous analysis of

Case study

To illustrate the principles and the procedures of the proposed method, a case study is presented, considering the following 4 streams problem. The streams data and cost data were introduced by Linnhoff and Hindmarsh (1983), and the minimum temperature difference was selected to be 20 °C (Table 3).

In this example, according to previous discussions, the minimum temperature difference ΔTmin is selected between 0 °C and 20 °C. In Fig. 9, the hot composite curves are divided into 4 temperature

Conclusions

The classical pinch technology is modified to synthesis multipass HENs, which involve part countercurrent and part co-current flow. Composite curves and problem tables are used to analyze the pinch point location, the utility consumption, and the network area. By taking an account of the energy-capital cost trade-offs, the process to select a proper minimum temperature difference is also developed.

Results of the case study indicate that,

  • (1)

    The composite curves of multipass HENs are drawn based on

Acknowledgement

This work was supported by the National Natural Science Foundation of China under Grant 20976193.

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