Mathematical Modelling and Numerical Analysis of Turbulence Models (In a Two-Stage Laboratory Turbine)

Antoska-Knights, Vesna and Atanasova-Pacemska, Tatjana and Gajdoš Kljusurić, Jasenka (2025) Mathematical Modelling and Numerical Analysis of Turbulence Models (In a Two-Stage Laboratory Turbine). Algorithms.

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Abstract

This paper presents a mathematical modeling and numerical analysis of fluid-thermal pro-
cesses in a two-stage steam turbine cascade, focusing on the application and comparative
assessment of turbulence models in computational fluid dynamics (CFD) simulations. Us-
ing the finite volume method implemented in the ANSYS CFX-Task Flow (ANSYS CFX 2022
R2) workflow, the study investigates the performance of standard k-ε, k-ω, and SST turbu-
lence models in predicting flow structures, pressure fields, and velocity distributions within
the turbine flow passages. The governing equations, including the Reynolds-Averaged
Navier–Stokes (RANS) equations and associated energy and constitutive relations, are
solved in conservative form under compressible flow conditions. Experimental data from
turbine tests performed at the Institute of Fluid Machinery at Lodz University of Technol-
ogy are used for validation. Results demonstrate that turbulence modeling significantly
influences the accuracy of predicted flow phenomena. The study identifies strengths and
limitations of the models in capturing complex three-dimensional flow structures and pro-
vides quantitative error margins and practical guidance for their application in industrial
turbine flow simulations.

Item Type: Article
Subjects: Scientific Fields (Frascati) > Natural sciences > Mathematics
Divisions: Faculty of Technology and Technical Sciences
Depositing User: Prof. d-r. Vesna Knights
Date Deposited: 20 Sep 2025 06:01
Last Modified: 20 Sep 2025 06:01
URI: https://eprints.uklo.edu.mk/id/eprint/11068

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