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

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 be...

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics 2023-09, Vol.96 (5), p.1187-1195
Main Authors: Tsirlin, A. M., Balunov, A. I., Vasil’ev, A. M.
Format: Article
Language:English
Subjects:
Approximation
Classical Mechanics
Complex Systems
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Heat Transfer in Phase Transitions
Industrial Chemistry/Chemical Engineering
Mathematical analysis
Separation
Step functions
Thermodynamics
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Summary: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.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-023-02784-z