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SCIENCE CHINA Technological Sciences, Volume 59 , Issue 12 : 1867-1873(2016) https://doi.org/10.1007/s11431-016-6073-7

Optimization of equimolar reverse constant-temperature mass-diffusion process for minimum entransy dissipation

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  • ReceivedFeb 26, 2016
  • AcceptedApr 29, 2016
  • PublishedAug 11, 2016

Abstract

The mass entransy describes the mass-diffusion ability of the solution system, and the mass-diffusion process with the finite concentration difference always leads to the mass-entransy dissipation. This paper studies the equimolar reverse constant-temperature mass-diffusion process with Fick’s law (g Δ(c)). The optimal concentration paths for the MED (Minimum Entransy Dissipation) are derived and compared with those for the MEG (Minimum Entropy Generation) and CCR (Constant Concentration Ratio) operations. It is indicated that the strategy of the MED is equivalent to that of the CCD (Constant Concentration Difference) of the same component; whether the MED or the MEG is selected as the optimization objective, the strategy of the CCD is much better than that of the CCR.


Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51576207 & 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

    Model of the equimolar reverse constant-temperature mass- diffusion process.

  • Figure 2

    The position variations of the constituent concentration c1 in the mixture 1 for various mass-diffusion strategies.

  • Figure 3

    The position variations of the constituent concentration c2 in the mixture 2 for various mass-diffusion strategies.

  • Figure 4

    The position variations of the entransy-dissipation rate distribution-function d(ΔE)/dx for various mass-diffusion strategies.

  • Table 1   Comparison of calculation results for various mass-diffusion strategies

    Case

    c2,inl

    c2,out

    M2 (mol/s)

    ΔS (W/K)

    ΔE (mol/s)

    c1/c2=const

    0.3168

    0.6336

    22.7257

    31.9817

    1.7966

    ΔS=min

    0.2881

    0.6853

    18.1288

    30.8882

    1.7293

    ΔE=min

    0.2800

    0.6800

    18.0000

    30.9092

    1.7280

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