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Approximation of an Arbitrary Function by a Piecewise Constant Function and Number of Theoretical Separation Stages in A Rectification Tower

  • HEAT TRANSFER IN PHASE TRANSITIONS
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Journal of Engineering Physics and Thermophysics Aims and scope

The problem on the minimum number of constancy portions of the scalar step function approximating an arbitrary bounded function was solved. Expressions for calculating the number of theoretical separation stages in conventional and optimum rectification towers have been obtained. The relationship between the number of separation stages in a rectification tower and the parameters of the product flows, in particular, the relative volatility of the components of a mixture separated in it, was determined.

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Authors and Affiliations

  1. A. K. Ailamazyan Program Systems Institute, Russian Academy of Sciences, 4a Peter the Great Str., Ves’kovo Village, Pereslavl’ Region, Yaroslavl’ Oblast, 152020, Russia

    A. M. Tsirlin & A. I. Balunov

  2. Yaroslavl State Technical University, 88 Moscow Ave., Yaroslavl’, 150023, Russia

    A. I. Balunov

  3. P. G. Demidov Yaroslavl State University, 14 Sovetskaya Str., Yaroslavl’, 150003, Russia

    A. M. Vasil’ev

Authors
  1. A. M. Tsirlin
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  2. A. I. Balunov
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  3. A. M. Vasil’ev
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Corresponding author

Correspondence to A. M. Tsirlin.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 96, No. 5, pp. 1195–1203, September–October, 2023.

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Tsirlin, A.M., Balunov, A.I. & Vasil’ev, A.M. Approximation of an Arbitrary Function by a Piecewise Constant Function and Number of Theoretical Separation Stages in A Rectification Tower. J Eng Phys Thermophy 96, 1187–1195 (2023). https://doi.org/10.1007/s10891-023-02784-z

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  • DOI: https://doi.org/10.1007/s10891-023-02784-z

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