Working fluid mathematical model for the gas turbine engine thermo-gas-dynamic design

DOI: 10.34759/vst-2021-4-180-191

Аuthors

Tkachenko A. Y.

Samara National Research University named after Academician S.P. Korolev, 34, Moskovskoye shosse, Samara, 443086, Russia

e-mail: tau@ssau.ru

Abstract

The article presents the results of a study aimed at enhancing accuracy and computational efficiency of algorithms for working fluid thermodynamic properties and functions determining used for the gas turbine engine workflow computing.

The working fluid of an atmospheric gas turbine engine is a mixture of seven general individual components such as nitrogen, oxygen, water vapor, carbon dioxide, sulfur dioxide, argon and helium. Setting values of relative mass fractions of components allows calculate the working fluid parameters depending on the properties of the above-said components.

Expressions and corresponding coefficients for a mixture thermodynamic properties and functions computing were obtained based on the existing dependencies of the isobaric heat capacity on temperature for the above-listed components. A new thermodynamic function j was introduced, which allowed establishing a relationship between the total and critical temperatures of the working fluid, with account for its composition and variable heat capacity.

The expressions being presented allow replacing conventional isentropic functions based on the assumption of a constant heat capacity. Application of these new expressions for isentropic relationships between total, static and critical state parameters ensures higher adequacy and better reliability of a gas turbine engine thermodynamic model. This became possible since the isentropic functions are accounting for the dependence of properties on working fluid composition and temperature as well.

The developed approach for the working fluid properties numerical modeling allows creating the time-efficient algorithms for thermodynamic and gas-dynamic process simulation. It has a wide range of applications and scaling capability to create more complex working fluid models.

Keywords:

working fluid, gas turbine engine, mathematical modeling, thermodynamic properties of the working fluid, gas dynamic functions

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