Конечно-элементное моделирование теплогидравлических процессов методом пористого тела
Работая с нашим сайтом, вы даете свое согласие на использование файлов cookie. Это необходимо для нормального функционирования сайта, показа целевой рекламы и анализа трафика. Статистика использования сайта отправляется в «Яндекс» и «Google»
Научный журнал Моделирование, оптимизация и информационные технологииThe scientific journal Modeling, Optimization and Information Technology
Online media
issn 2310-6018

Finite element modeling of thermohydraulic processes by the porous body method

idYaurov S.V. idDanilov A.D. idGusev K.Y.

UDC 51-74
DOI: 10.26102/2310-6018/2024.44.1.006

  • Abstract
  • List of references
  • About authors

The paper considers the best-known models of a porous body used to simplify the performance of thermohydraulic calculations by the finite element method. The main approaches and dependencies when using the porous body model in calculations are shown. The results of thermohydraulic calculations using the Darcy porous body model are presented. The calculation of a heat exchanger with spirally wound tubes was performed, the calculation of a complex technological system consisting of mechanical filters of different configurations was performed. The discrepancies between the calculated and actual parameters of the equipment are determined. The use of a porous body model as a hydraulic analogue of equipment using the example of mechanical filters and a heat exchanger showed acceptable results (deviations from the design values range from 0,1 % to 10 %). These discrepancies are related to the accuracy/correctness of the selection of porous body resistance laws (dependencies). The use of the porous body approach in modeling the operating modes of technological systems including equipment with a complex design is explained, first of all, when it is required to predict the operating modes of the system as a whole from the result of computational modeling, but local processes occurring inside the equipment are not. Secondly, when it is necessary to reduce the time for performing calculations with low available power capabilities of computers. However, the proposed approach has disadvantages, in particular, the procedure for determining the degree of porosity of the simulated object and the laws of hydraulic resistance selected from empirical dependencies is quite complex.

1. Buryaka V.A., Fokin V.G., Soldusova E.A., Glazunova N.A., Adeyanov I.E. Engineering analysis in Ansys Workbench. Samara, Publishing House of Samara State Technical University; 2010. 271 p. (In Russ.).

2. Ilyin V.P. Methods of finite differences and finite volumes for elliptic equations. Novosibirsk, Publishing House of the Institute of Mathematics; 2000. 345 p. (In Russ.).

3. Belova O.V., Volkov V.Yu., Skibin A.P., Nikolaeva A.V., Krutikov A.A., Chernyshev A.V. Methodological foundations of CFD calculations to support the design of pneumohydraulic systems. Inzhenernyi zhurnal: nauka i innovatsii = Engineering Journal: Science and Innovation. 2013;17(5):45. (In Russ.).

4. Snegirev A.Yu. High-performance computing in technical physics. Numerical simulation of turbulent flows: a textbook. Saint Petersburg, Publishing House of the Polytechnic University; 2009. 143 p. (In Russ.).

5. Chigarev A.V,. Kravchuk, A.S., Smalyuk A.F. ANSYS for engineers. Reference manual. Moscow, Mechanical engineering-1; 2004. 512 p. (In Russ.).

6. Leskin S.T., Slobodchuk V.I., Shelegov A.S., Yaurov S.V., Chistozvonova E.A., Sorokin A.P., Opanasenko A.N., Kalyakin S.G., Zaryugin D.G. Numerical simulation of non-isothermal coolant flow in the porous body model of a fast breeder reactor. Izevstia vuzov. Yadernaya energetika = News of universities. Nuclear power engineering. 2013;4:78–85. (In Russ.).

7. Yaurov S.V., Leskin S.T., Shelegov A.S., Slobodchuk V.I., Chusov I.A., Shvetsov Yu.E. Computational modeling of coolant stratification in a fast reactor tank. Teplofizicheskie eksperimental'nye i raschetno-teoreticheskie issledovaniya v obosnovanie kharakteristik i bezopasnosti yadernykh reaktorov na bystrykh neitronakh (Teplofizika-2012): Sbornik dokladov nauchno-tekhnicheskoi konferentsii “Teplofizika-2012”. Obninsk, IPPE JSC; 2013. p. 216-227. (In Russ.).

8. ANSYS CFX-Solver Theory Guide. Canonsburg, 2011. 402 p.

9. Yaurov S.V., Borovoy A.V., Yudin A.V., Bolgov M.V., Danilov A.D. Computational and experimental justification of increasing the efficiency of the regenerative heat exchanger of the steam generator purge system of the AE-2006 project (RU V-392M). Izevstia vuzov. Yadernaya energetika = News of universities. Nuclear power engineering. 2022;2:27–36. DOI: 10.26583/npe.2022.2.03. (In Russ.).

10. Idelchik I.E. Handbook of hydraulic resistances. 3rd ed., revised and enlarged. Moscow, Mechanical engineering; 1992. 672 p. (In Russ.).

11. Kirillov P.L., Bobkov V.P., Zhukov A.V., Yuryev Y.S. Handbook of thermohydraulic calculations in nuclear power engineering. Moscow, IzdAt; 2010. 776 p. (In Russ.).

12. Yaurov S.V. Danilov A.D. Gusev K.Y. Gusev I.N., Mathematical modeling of composite technological systems by the finite element method. Modelirovanie, optimizatsiya i informatsionnye tekhnologii = Modeling, Optimization and Information Technology. 2023;11(3). URL: https://moitvivt.ru/ru/journal/pdf?id=1371. DOI: 10.26102/2310-6018/2023.42.3.024 (accessed on 10.10.2023). (In Russ.).

Yaurov Sergey Vasilievich

Scopus | ORCID | eLibrary |

Voronezh State Technical University

Voronezh, the Russian Federation

Danilov Aleksandr Dmitrievich
Doctor of Engineering Sciences Professor

Scopus | ORCID | eLibrary |

Voronezh State Technical University

Voronezh, the Russian Federation

Gusev Konstantin Yurievich
Candidate of Engineering Sciences Associate Professor

Scopus | ORCID | eLibrary |

Voronezh State Technical University

Voronezh, the Russian Federation

Keywords: porous body model, complex technological systems, heat exchanger, finite element method, hydraulic resistance, mechanical filters

For citation: Yaurov S.V. Danilov A.D. Gusev K.Y. Finite element modeling of thermohydraulic processes by the porous body method. Modeling, Optimization and Information Technology. 2024;12(1). Available from: https://moitvivt.ru/ru/journal/pdf?id=1457 DOI: 10.26102/2310-6018/2024.44.1.006 (In Russ).

44

Full text in PDF

Received 12.10.2023

Revised 10.11.2023

Accepted 31.01.2024

Published 31.01.2024