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Area Target Section Stream Population j k Cold Streams Hot Streams H T QjQj enthalpy interval
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Townsend, D. W. and B. Linnhoff, “Surface Area Targets for Heat Exchanger Networks”, IChemE Annual Research Meeting, Bath, England (April, 1984)
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H T Steam CW CP C =14 CP H =7 T=100 T=80 T=90 T=75 T=100 T=80 T=90 T=75 CP = 0.5 CP = 2.5 CP = 1 CP = 6 Figure B.1 within each enthalpy interval it is possible to design a network in (S - 1) matches. (From Ahmad and Simth, IChemE, ChERD, 67: 481, 1989; reproduced by permission of the Institution of Chemical Engineers.)
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250 240 230 220 210 200 190 180 170 160 150 140 130 120 110 100 90 0 200 400 600 Table 8.1-1 Approach temperature = 10 + + + + + + + + + + + Enthalpy, 1000 Btu/hr = Hot + = Cold Temperature, F FIGURE 8.3-1 Tempreature-enthalpy diagram. 176 Hot utility Cold utility 1 2 2 2 1 1 1 1 2 Number of cold streams in this interval j
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Hot composite Curve T ( F) H (BTU/hr) 10 3 100 0 120 80 140 180 160 280 200 480 250 530 Cold composite Curve T ( F) H ( 10 3 BTU/hr) 90 60 130 180 150 360 190 600
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MINIMUM HEAT TRANSFER AREA IN INTERVAL j Stream No. CP 10 3 q k,j 10 3 T S T T and Type (BTU/hr. F) (BTU/hr) ( F) ( F) 1. Hot 1 36 176 140 2. Hot 4 144 176 140 3. Cold 3 - 60 130 150 4. Cold 6 - 120 130 150 Stream No. CP 10 3 q k,j 10 3 T S T T and Type (BTU/hr. F) (BTU/hr) ( F) ( F) 1. Hot 1 36 176 140 2. Hot 2 / 3 24 176 140 3 1 / 3 120 176 140 3. Cold 1.8 - 36 130 150 1.2 - 24 130 150 4. Cold 6 - 120 130 150 1 2 3
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MINIMUM HEAT TRANSFER AREA IN INTERVAL j MIN where N j = total number of process streams in interval j MIN
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T hot-cold T cold PINCH (a) A Screening Procedure For Detection of “Bad” Matches
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TT T cold (b) A Screening Procedure For Detection of “Bad” Matches A Good Match
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TT T cold (c) A Screening Procedure For Detection of “Bad” Matches Two Bad Matches
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1-1 Exchanger (a) Temperature Length countercurrent Figure 7.7 1-1 shells approach pure countercurrent flow, whereas 1-2 shells exhibit partial countercurrent and partial cocurrent flow. Q = UA T LM T H1 T H2 T C2 T C1 T H1 T C2 T H2 T C1 T C2 T H1 T H2 T C1 Q =(UA T LM ) F T F T = f (R,P) 1-2 Exchanger (b) Temperature Length T C1 T C2 T H1 T H2 partial cuntercurrent partial cocurrent
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R=1 Figure 7.8
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Figure 7.8 Designs with a temperature approach or small temperature cross can be accommodated in a single 1-2 shell, whereas designs with a large temperature cross become infeasible. (From Ahmad, Linnhoff, and Smith, Trans. ASME, J. Heat Transfer, 110: 340, 1988; reproduced by permission of the American Society of Mechanical Engineers.)
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temperature cross large P large (a) A single 1-2 shell is infeasible. Figure 7.10 A large overall temperature cross requires shells in series to reduce the cross in individual exchangers.(From Ahmad, Linnhoff, and Smith, Trans. ASME, J. Heat Transfer, 110: 340, 1988; reproduced by permission of the American Society of Mechanical Engineers.)
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A B AB temperature crosses smaller Figure 7.10 A large overall temperature cross requires shells in series to reduce the cross in individual exchangers.(From Ahmad, Linnhoff, and Smith, Trans. ASME, J. Heat Transfer, 110: 340, 1988; reproduced by permission of the American Society of Mechanical Engineers.) (b) Putting shells in series reduces the temperature cross in individual exchangers.
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