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SCIENCE CHINA Technological Sciences, Volume 59 , Issue 11 : 1687-1695(2016) https://doi.org/10.1007/s11431-016-6095-1

Generalized constructal optimization of strip laminar cooling process based on entransy theory

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  • ReceivedMar 26, 2016
  • AcceptedMay 23, 2016
  • PublishedAug 11, 2016

Abstract

A strip laminar cooling process is investigated in this paper. Entransy theory and generalized constructal optimization are introduced into the optimization. Total water flow amount (WFA) in the laminar cooling zone (LCZ) and complex function are taken as the constraint and optimization objective, respectively. The entransy dissipation (ED) and maximum temperature different (MTD) of the strip are simultaneously considered in the complex function. WFA distributions of the headers in the LCZ are optimized. The effects of the total WFA, strip thickness and cooling water temperature on the optimal results are analyzed. The optimal cooling scheme is the eleventh cooling mode for the considered total 257 cooling schemes, and the complex function, ED and MTD of the strip are decreased by 11.59%, 5.59% and 17.58% compared with the initial cooling scheme, respectively. The total WFA and strip thickness have the obvious influences on the optimal cooing scheme, but the cooling water temperature has no influence in the parameter analysis range of this paper. The “generalized optimal construct” derived by minimum complex function shows a compromise between the energy retention and quality of the strip.


Acknowledgment

This work was supported by the National Basic Research Program of China (“973” Project) (Grant No. 2012CB720405), and the National Natural Science Foundation of China (Grant Nos. 51506220 & 51356001). The authors wish to thank the reviewers for their careful, unbiased and constructive suggestions, which led to this revised manuscript.


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  • Figure 1

    Schematic diagram of strip laminar cooling process.

  • Figure 2

    Comparison between strip laminar cooling process and solidification heat transfer process of slab continuous casting: (a) Strip laminar cooling process (this paper); (b) solidification heat transfer process of slab continuous casting [10, 58].

  • Figure 4

    Optimal WFA distribution when the complex function is minimized.

  • Figure 5

    Characteristic of T versus t when the complex function is minimized.

  • Figure 6

    Effect of Wv on the optimal constructal results.

  • Figure 7

    Effect of H on the optimal constructal results.

  • Figure 8

    Effect of Tw on the optimal constructal results.

  • Table 1   Cooling modes in the laminar cooling zone

    Cooling modes

    States of the headers

    Illustrations

    Number

    1

    2

    3

    4

    The cooling unit is composed of one header group. The switch mode of each unit is the same, and there exit 15 cooling modes.

    Unit cooling mode

    1111

    0111

    1011

    0011

    Number

    5

    6

    7

    8

    Unit cooling mode

    1101

    0101

    1001

    0001

    Number

    9

    10

    11

    12

    Unit cooling mode

    1110

    0110

    1010

    0010

    Number

    13

    14

    15

    Unit cooling mode

    1100

    0100

    1000

    Number

    16

    17

    18

    The cooling unit is composed of two groups of adjacent headers. The switch mode of each unit is the same, and there exit 240 cooling modes.

    Unit cooling mode

    1111 0111

    1111 1011

    1111 0011

    Number

    253

    254

    255

    Unit cooling mode

    0000 1100

    0000 0100

    0000 1000

    Number

    256

    The forward half part of the headers in the coarse and fine adjustment zones are opened, and the others are closed.

    Forward cooling mode

    1111, …, 1111 1100, 0000, …, 0000 0000

    (Coarse adjustment zone)

    11111111 11111111 00000000 00000000

    (Fine adjustment zone)

    Number

    257

    The backward half part of the headers in the coarse and fine adjustment zones are opened, and the others are closed.

    Backward cooling mode

    0000 0000, …, 0000 0011, 1111, …, 1111 1111

    (Coarse adjustment zone)

    00000000 00000000 11111111 11111111

    (Fine adjustment zone)

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