Numerical investigation of turbulent flow structure in a channel with sudden expansion

Authors

  • Valeev A.A. Institute of Mechanics and Engineering - Subdivision of the Federal State Budgetary Institution of Science "Kazan Scientific Center of the Russian Academy of Sciences", Kazan, Russian Federation
  • Snigerev B.A. Institute of Mechanics and Engineering - Subdivision of the Federal State Budgetary Institution of Science "Kazan Scientific Center of the Russian Academy of Sciences", Kazan, Russian Federation

UDC

533.17

DOI:

https://doi.org/10.31429/vestnik-15-4-17-23

Abstract

Separation flows are common in many process units, so the question of modeling these flows is relevant to date, just as the search for the most suitable turbulence models for them. In this paper, the structure of a viscous incompressible turbulent flow in a channel with sudden expansion was calculated. To compare the results, the experimental data were taken. The mathematical model is based on the use of the Reynolds averaged Navier-Stokes equation, represented in the Eulerian form. To obtain the results of numerical simulation, the $k-\epsilon$ turbulence model is chosen. The solution of the task was carried out by the finite volume method in the open package OpenFOAM. The procedure for constructing grids is worked out, where among the three is selected with a rational grid step. The obtained velocity results showed the best result when compared with experiment. The values of turbulent kinetic energy have good indices, however, some disagreements between the data of theory and experiment are observed at the wall in some sections. The reduced pressure coefficient, whose data is obtained along the bottom wall of the channel, showed a deviation of the values towards the obstacle, which is the starting point for future studies and model properties. The attachment area has a length comparable with the results of the experiment. Comparison of the results of numerical simulation with experimental data has shown that this model satisfactorily describes separation currents, and the proposed approach is relevant for the simulation of turbulent flows.

Keywords:

separation flow, turbulent motion, numerical method

Author Infos

Aydar A. Valeev

аспирант лаборатории моделирования технологических процессов Института механики и машиностроения ФИЦ «КазНЦ РАН»

e-mail: valei93@mail.ru

Boris A. Snigerev

д-р тех. наук, ведущий научный сотрудник лаборатории моделирования технологических процессов Института механики и машиностроения ФИЦ «КазНЦ РАН»

e-mail: snigerev@imm.knc.ru

References

  1. Reynolds A.J. Turbulentnye techeniya v inzhenernykh prilozheniyakh [Turbulent flows in engineering applications]. Moscow, Energiya Publ., 1979, 406 p. (In Russian)
  2. Sedov L.I. Mekhanika sploshnoy sredy [Continuum mechanics]. St. Petersburg, Lan' Publ., 2004, 1088 p. (In Russian)
  3. Terekhov V.I., Yarygina N.I., Zhdanov P.F. Osobennosti techeniya i teploobmena pri otryve turbulentnogo potoka za ustupom i rebrom [Peculiarities of flow and heat transfer in the separation of a turbulent flow behind a ledge and an edge]. Prikladnaya mekhanika i tekhnicheskaya fizika [Applied Mechanics and Technical Physics], 2002, no. 6, pp. 126–133. (In Russian)
  4. Egorov A.G., Zotkin V.I., Ivanin C.V. Issledovaniye kharakteristik techeniya v kanale s vnezapnym rasshireniyem [Investigation of flow characteristics in a channel with sudden expansion]. Aviatsionnaya i raketno-kosmicheskaya tekhnika [Aviation and space-rocket technology], 2008, no. 3, pp. 85–94. (In Russian)
  5. Kim J., Kline S.J., Johnson J.P. Investigation of a Reattaching Turbulent Shear Layer: Flow Over a Backward-Facing Step. Transactions of the ASME, 1980, vol. 1, pp. 302–308.
  6. Bubenchikov A.M., Firsov D.K., Kotovshchikova M.A. Chislennoye reshcheniye ploskikh zadach dinamicheskoy vyazkoy zhidkosti metodom kontrol'nykh ob"yemov na treugol'nykh setkakh [Numerical reconstruction of plane problems of a dynamic viscous fluid by the method of control volumes on triangular grids]. Matematicheskoye modelirovaniye [Mathematical modeling], 2007, vol. 19 no. 6, pp. 71–85. (In Russian)
  7. Fomin A.A., Fomina L.N. Chislennoye resheniye zadachi techeniya neszhimayemoy zhidkosti v ploskom kanale s obratnym ustupom pri bol'shikh chislakh Reynol'dsa [Numerical solutions of 2D steady incompressible backward-facing step flow at high Reynolds numbers]. Vychislitel'naya mekhanika sploshnykh sred [Computational continuum mechanics], 2017, no. 3, pp. 260–275. DOI: 10.7242/1999-6691/2017.10.3.21 (In Russian)
  8. Zhaynakov A.Zh., Kaleeva A.K., Kurbanaliev A.Y. Modelirovaniye statsionarnykh otryvnykh techeniy v pakete OpenFOAM [Simulation of stationary detached flows in the OpenFOAM package]. Matematika, matematicheskoye modelirovaniye i fizika [Mathematics, mathematical modeling and physics], 2014, no. 32, pp. 25–29. (In Russian)
  9. Kazantsev A.A., Anisonyan V.R. Modelirovaniye 3D-techeniya CFD-kodom OpenFOAM [Modeling of the 3D-flow by CFD-code OpenFOAM]. Izvestiya vuzov. Yadernaya energetika [News of higher education institutions. Nuclear energy], 2010, no. 4, pp. 183–192. (In Russian)
  10. Hackman L.P., Raithby G.D., Strong A.B. Numerical predictions of flows over backward-facing steps. International journal for numerical methods in fluids, 1984, vol. 4, pp. 711–724.
  11. Dong H., Li Z., Gao G., Shi Z., Guo J., Tang W. Numerical Investigation of Flow past a Backward-facing Step Using a Multi-scale Turbulence Model. Applied Mechanics and Materials, 2014, vol. 654, pp. 45–50. DOI:10.4028/www.scientific.net/AMM.654.45
  12. Weller H.G., Tabor G., Jasak H. A Tensorial Approach to Computational Continuum Mechanics Using Object Oriented Tecniques. Computers in Physics, 1998, vol. 12, pp. 620–631.
  13. Harlamov S.N. Algoritmy pri modelirovanii gidrodinamicheskikh protsessov [Algorithms for modeling hydrodynamic processes]. TPU, Tomsk, 2008, 80 p. (In Russian)

Issue

Section

Mechanics

Pages

17-23

Submitted

2018-09-05

Published

2018-12-21

How to Cite

Valeev A.A., Snigerev B.A. Numerical investigation of turbulent flow structure in a channel with sudden expansion. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2018, vol. 15, no. 4, pp. 17-23. DOI: https://doi.org/10.31429/vestnik-15-4-17-23 (In Russian)