Chapter 15 - Heat Exchange Networks

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Physics: Principles with Applications, 6th edition
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Presentation transcript:

Chapter 15 - Heat Exchange Networks Chemical Process Design West Virginia University Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Outline Heat Integration Design Procedure for MUMNE Temperature interval diagram Cascade diagram Temperature-Enthalpy diagram Minimum number of exchangers Design above and below pinch Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Heat Integration Heat exchange networks It saves money to match streams rather than pay to heat one and pay to cool another You have already done this on ad hoc basis in design projects Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Heat Integration There is a rigorous methodology We will learn MUMNE (Minimum Utility, Minimum Number of Exchangers) method Not necessarily (and unlikely to be) economic optimum Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Design Procedure Complete energy balance on all streams to determine all temperatures, values, and heat flows. Choose minimum approach temperature. Typically, this is between 5°C and 20°C, but any positive number is valid. Complete temperature interval diagram, Each stream is drawn and labeled. The heat flow in each interval is calculated. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Design Procedure Complete the cascade diagram. The energy excess or deficit is calculated for each interval on the temperature interval diagram. Find the minimum hot and cold utility requirements and identify the pinch temperature. Complete the composite temperature enthalpy diagram. This is a T-Q diagram for the entire process. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Design Procedure Determine the minimum number of heat exchangers required above and below the pinch. Design the heat exchanger network. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem Stream Properties for Example Problems Stream Tin Tout kW/°C Q kW 1 200 120 3 240 2 140 100 5 170 -210 4 110 190 -160 Net heat flow 70 Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem The value of Q might not be given in above table, or Q is given and is missing. These are calculated from the energy balance. The sign convention is positive for heat available from a stream and negative for heat needed by a stream. Choose the minimum approach temperature. For this problem, it is 10°C. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem Draw and label the temperature interval diagram. Label the intervals beginning with “A” for the highest temperature interval. The heat flow for each interval is calculated from, , where the sum is over all streams existing in that interval. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem Draw the cascade diagram. This represents the cascade of heat flowing down from high to low temperatures. Add utilities where needed. Label the heat flows. The net utility flow should agree with the net heat flow on the earlier table. On the cascade diagram, there will be a location where the heat-flow cascade is not continuous. This represents the pinch temperature Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem Construct the composite temperature enthalpy diagram. This provides useful information, but it is not required to solve the problem. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem Hot Cold interval T (°C) Q (kW) E 100 90 D 110 50 C 120 30 B 140 260 130 A 180 380 170 330 200 440 190 370 Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem In the table, the temperature shown is at the lower end of the interval. The Q values are obtained by summing all existing on the interval and adding it to the previous interval. The temperature difference is for that interval. The value is the sum of all existing streams on that interval. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem The hot and cold stream lines are plotted, as shown on the following figure. Clearly, there is a temperature cross, so the cold stream line is shifted to the right until the minimum approach temperature of 10°C exists at one point. (It could exist at more than one point by coincidence.) For this problem, all Q values for the cold stream must be increased by 130 kW, as shown in the figure. Note how the hot and cold utility requirements are apparent from the diagram. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem By representing the heat available in each stream and from the utilities both above and below the pinch, the minimum number of heat exchangers can be determined. This identifies the minimum number, but not necessarily the correct stream matches. The correct number of heat exchangers is the number of process streams + the number of utility streams – 1. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem Note that if a “direct match” is found, i.e., where sets of two streams match heat flows exactly, one fewer exchanger may appear to be possible. However, be careful, the minimum approach temperature may be violated. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem Design the heat exchange network. There may not be unique streams here. The design is started at the pinch and you work away from the pinch. Above the pinch, for any streams that exist at the pinch, streams can only be matched such that Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem When dealing with streams away from the pinch, this criterion is no longer needed. Any streams can be matched as long as the temperatures are valid. If the criterion at the pinch appears impossible to satisfy, streams can be split to satisfy the criterion. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Example Problem The same procedure is done below the pinch, except that the criterion is Streams are matched and heat exchangers are added until all required heat transfer is accomplished. The entire network, both above and below the pinch, can then be represented on one diagram. Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

In-class Example Problem Stream Properties for In-class Example Problem Stream Tin Tout kg/s Cp kJ/kg°C 1 250 100 2 280 120 3 200 4 230 5 Copyright - R. Turton and J. Shaeiwitz, 2008

In-class Example Problem Determine (minimum approach T = 20°C) minimum hot and cold utility consumption pinch temperatures minimum number of heat exchangers required above and below the pinch design of heat exchange network above and below the pinch Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008

Copyright - R. Turton and J. Shaeiwitz, 2008 Summary Heat Exchange Networks Well-established procedure Not necessarily (and unlikely to be) economic optimum but a very good starting point Straight forward, but must be careful when matching streams at pinch Different correct answers possible Copyright - R. Turton and J. Shaeiwitz, 2008