Thermodynamic speed of sound in multiphase systems

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

A procedure to evaluate the thermodynamic speed of sound in systems with any number of fluid phases is presented in this paper. Starting from the definition of speed of sound, the derivation of the procedure uses the conservation equations for volume, entropy, and number of moles of each component, the derivatives of several thermodynamic properties, and the solution of a system of linear equations. A computer algebra program was used to automatically derive and implement in computer the required expressions. The calculated thermodynamic speeds of sound reported in this paper are in very good agreement with results published recently, based on numerical derivatives, but show some discrepancies with earlier results available in the literature.

Original languageEnglish
Pages (from-to)204-211
Number of pages8
JournalFluid Phase Equilibria
Volume306
Issue number2
DOIs
Publication statusPublished - 25 Jul 2011

Fingerprint

Acoustic wave velocity
Thermodynamics
thermodynamics
acoustics
Derivatives
conservation equations
linear equations
Linear equations
Algebra
Conservation
algebra
Computer systems
Entropy
Thermodynamic properties
derivation
thermodynamic properties
entropy
Fluids
fluids

Keywords

  • Bubble point
  • Dew point
  • Equations of state
  • Isentropic processes
  • Speed of sound

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Physical and Theoretical Chemistry
  • Physics and Astronomy(all)

Cite this

Thermodynamic speed of sound in multiphase systems. / Castier, Marcelo.

In: Fluid Phase Equilibria, Vol. 306, No. 2, 25.07.2011, p. 204-211.

Research output: Contribution to journalArticle

@article{a8754fd13645411982cd01b58ae32ceb,
title = "Thermodynamic speed of sound in multiphase systems",
abstract = "A procedure to evaluate the thermodynamic speed of sound in systems with any number of fluid phases is presented in this paper. Starting from the definition of speed of sound, the derivation of the procedure uses the conservation equations for volume, entropy, and number of moles of each component, the derivatives of several thermodynamic properties, and the solution of a system of linear equations. A computer algebra program was used to automatically derive and implement in computer the required expressions. The calculated thermodynamic speeds of sound reported in this paper are in very good agreement with results published recently, based on numerical derivatives, but show some discrepancies with earlier results available in the literature.",
keywords = "Bubble point, Dew point, Equations of state, Isentropic processes, Speed of sound",
author = "Marcelo Castier",
year = "2011",
month = "7",
day = "25",
doi = "10.1016/j.fluid.2011.04.002",
language = "English",
volume = "306",
pages = "204--211",
journal = "Fluid Phase Equilibria",
issn = "0378-3812",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Thermodynamic speed of sound in multiphase systems

AU - Castier, Marcelo

PY - 2011/7/25

Y1 - 2011/7/25

N2 - A procedure to evaluate the thermodynamic speed of sound in systems with any number of fluid phases is presented in this paper. Starting from the definition of speed of sound, the derivation of the procedure uses the conservation equations for volume, entropy, and number of moles of each component, the derivatives of several thermodynamic properties, and the solution of a system of linear equations. A computer algebra program was used to automatically derive and implement in computer the required expressions. The calculated thermodynamic speeds of sound reported in this paper are in very good agreement with results published recently, based on numerical derivatives, but show some discrepancies with earlier results available in the literature.

AB - A procedure to evaluate the thermodynamic speed of sound in systems with any number of fluid phases is presented in this paper. Starting from the definition of speed of sound, the derivation of the procedure uses the conservation equations for volume, entropy, and number of moles of each component, the derivatives of several thermodynamic properties, and the solution of a system of linear equations. A computer algebra program was used to automatically derive and implement in computer the required expressions. The calculated thermodynamic speeds of sound reported in this paper are in very good agreement with results published recently, based on numerical derivatives, but show some discrepancies with earlier results available in the literature.

KW - Bubble point

KW - Dew point

KW - Equations of state

KW - Isentropic processes

KW - Speed of sound

UR - http://www.scopus.com/inward/record.url?scp=79957665570&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957665570&partnerID=8YFLogxK

U2 - 10.1016/j.fluid.2011.04.002

DO - 10.1016/j.fluid.2011.04.002

M3 - Article

VL - 306

SP - 204

EP - 211

JO - Fluid Phase Equilibria

JF - Fluid Phase Equilibria

SN - 0378-3812

IS - 2

ER -