### Abstract

This paper presents analytical expressions of the sensitivity coefficients for the total pressure and the feed liquid compositions in the multicomponent equilibrium flash process. The partial derivatives of temperature with respect to the total pressure are derived analytically by extending the implicit function theorem. The distillation calculation methods which chose the M-1 feed compositions as the independent variables and the one feed composition as the dependent variable defined d-sensitivity coefficients to satisfy the stoichiometric equations. This paper assumes that all the M feed compositions are independent and defines i-sensitivity coefficients, which violate the stoichiometric equations of the liquid compositions. d-sensitivity coefficients can be obtained from i-sensitivity coefficients and not vice versa. Numerical solutions are shown for both sensitivity coefficients.

Original language | English |
---|---|

Pages (from-to) | 303-310 |

Number of pages | 8 |

Journal | Kagaku Kogaku Ronbunshu |

Volume | 19 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1993 |

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### Keywords

- Equilibrium flash process
- Feed compositions
- Sensitivity analysis
- Sensitivity coefficients
- Total pressure

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Chemistry(all)

### Cite this

*Kagaku Kogaku Ronbunshu*,

*19*(2), 303-310. https://doi.org/10.1252/kakoronbunshu.19.303

**Sensitivity analysis of total pressure and feed compositions in equilibrium flash process.** / Sayama, Hayatoshi; Tozawa, Youichi; Suzuki, Kazuhiko; Shimada, Yukiyasu; Shimizu, Kengo.

Research output: Contribution to journal › Article

*Kagaku Kogaku Ronbunshu*, vol. 19, no. 2, pp. 303-310. https://doi.org/10.1252/kakoronbunshu.19.303

}

TY - JOUR

T1 - Sensitivity analysis of total pressure and feed compositions in equilibrium flash process

AU - Sayama, Hayatoshi

AU - Tozawa, Youichi

AU - Suzuki, Kazuhiko

AU - Shimada, Yukiyasu

AU - Shimizu, Kengo

PY - 1993

Y1 - 1993

N2 - This paper presents analytical expressions of the sensitivity coefficients for the total pressure and the feed liquid compositions in the multicomponent equilibrium flash process. The partial derivatives of temperature with respect to the total pressure are derived analytically by extending the implicit function theorem. The distillation calculation methods which chose the M-1 feed compositions as the independent variables and the one feed composition as the dependent variable defined d-sensitivity coefficients to satisfy the stoichiometric equations. This paper assumes that all the M feed compositions are independent and defines i-sensitivity coefficients, which violate the stoichiometric equations of the liquid compositions. d-sensitivity coefficients can be obtained from i-sensitivity coefficients and not vice versa. Numerical solutions are shown for both sensitivity coefficients.

AB - This paper presents analytical expressions of the sensitivity coefficients for the total pressure and the feed liquid compositions in the multicomponent equilibrium flash process. The partial derivatives of temperature with respect to the total pressure are derived analytically by extending the implicit function theorem. The distillation calculation methods which chose the M-1 feed compositions as the independent variables and the one feed composition as the dependent variable defined d-sensitivity coefficients to satisfy the stoichiometric equations. This paper assumes that all the M feed compositions are independent and defines i-sensitivity coefficients, which violate the stoichiometric equations of the liquid compositions. d-sensitivity coefficients can be obtained from i-sensitivity coefficients and not vice versa. Numerical solutions are shown for both sensitivity coefficients.

KW - Equilibrium flash process

KW - Feed compositions

KW - Sensitivity analysis

KW - Sensitivity coefficients

KW - Total pressure

UR - http://www.scopus.com/inward/record.url?scp=84945568469&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84945568469&partnerID=8YFLogxK

U2 - 10.1252/kakoronbunshu.19.303

DO - 10.1252/kakoronbunshu.19.303

M3 - Article

VL - 19

SP - 303

EP - 310

JO - Kagaku Kogaku Ronbunshu

JF - Kagaku Kogaku Ronbunshu

SN - 0386-216X

IS - 2

ER -