title: ÐÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð»Ð°Ð¶Ð½Ð¾Ð³Ð¾ Ð¿Ð°ÑÐ° Ð¸ ÐµÐµ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° Ð´Ð²ÑÐ¼ÐµÑÐ½ÑÑ ÑÑÐ°Ð½ÑÐ·Ð²ÑÐºÐ¾Ð²ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Software implementation of the equilibrium wet steam model and its application for calculating two-dimensional transonic flows
Creators: name: ÐÐ°ÐºÑÐ¸Ð¼Ð¾Ð², ÐÐ°Ð½Ð¸Ð¸Ð»
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÑÐ°Ð½ÑÐ·Ð²ÑÐºÐ¾Ð²ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ
ÑÐµÐ°Ð»ÑÐ½ÑÐ¹ Ð³Ð°Ð·
Ð²Ð¸ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ
Ð²Ð»Ð°Ð¶Ð½ÑÐ¹ Ð¿Ð°Ñ
ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ½Ð°Ñ ÐºÐ¾Ð½Ð´ÐµÐ½ÑÐ°ÑÐ¸Ñ
numerical simulation
transonic flows
real gas
virial equation
wet steam
equilibrium condensation

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description: The work is devoted to the software implementation of real gas models including the virial equation of state for water vapor and the equilibrium condensation model, based on the SINF/Flag-S code developed at the Higher School of Applied Mathematics and Computational Physics, PMI SPbPU. Numerical results of one-dimensional inviscid flow in a Laval nozzle were presented to verify the implemented models. Testing and validation of the equilibrium wet steam model were conducted by calculating two-dimensional transonic flow in a cascade of turbine blades. Research objectives: 1. Review of literature sources in order to determine suitable models of superheated and wet steam for further implementation; 2. Introduction in the SINF/Flag-S code the ability to add an arbitrary equation of state for gas; 3. Implementation of the variable specific heat capacity model and the virial equation of state for superheated water vapor; 4. Reorganization of the structure of the code module responsible for calculating thermodynamic properties in order to introduce the equilibrium wet steam model, allowing the use of an arbitrary equation of state for the gas phase, to be able to take into account the phase change between vapor and liquid; 5. Verification and testing of implemented models by calculating gas flows in a Laval nozzle using various equations of state; 6. Numerical calculation of two-dimensional transonic flow in the cascade of turbine blades, cross-verification and validation of the obtained results. Numerical results showed that the implemented real gas models work correctly. Test calculations of steam flow demonstrated the advantage of using the virial equation of state for superheated steam which more accurately describes the properties of water than other general-purpose models (for example, Angier-Redlich-Kwong equation of state). Analysis of data obtained in calculations using the condensation model and without it revealed that neglecting the phase change leads to incorrect prediction of the flow. Numerical solution of transonic flow past a turbine blades cascade showed that even a small wetness can have a strong qualitative and quantitative effect on the distribution of physical quantities near the blade.