EDN: XMGZAV
Authors & Affiliations
Delnov V.N., Kotov M.A., Mukhamadeev R.I.
A.I. Leypunsky Institute for Physics and Power Engineering, Obninsk, Russia
Delnov V.N. – Head of Department, Dr. Sci. (Tech.). Contact: 1, pl. Bondarenko, Obninsk, Kaluga region, Russia, 249033. Tel.: +7 (484) 399-70-00 (add. 85-68); e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
Kotov M.A. – Research Engineer.
Mukhamadeev R.I. – Senior Researcher.
Abstract
The subject of the study is hydrodynamics of the flow part in a symmetrical flat pressure chamber with two inlet and two outlet cylindrical channels. The purpose of the study is to determine hydrodynamic characteristics of the flow part in a flat-type pressure chamber and to identify regularities in the change of the hydraulic resistance coefficients of the outlet channels at various parameters of the fluid flow entering them. The experimental and calculated data were obtained within a certain range of the ratio of flat-type pressure chamber dimensions, with a turbulent flow motion in the pressure chamber and an identical rate of mass flow through it. A semi-empirical relationship is given for the determination of the ratio of mass flow rates in the outlet channels depending on the ratio of mass flow rates in the inlet channels for different designs of inserts in the outlet channels. The degree of influence of the conditions for fluid supply from the inlet channels to the pressure chamber on the fluid flow pattern in it at the constant rate of mass flow through the pressure chamber and turbulent flow motion has been established. A previously unknown regularity has been established for the change in the hydraulic resistance coefficients of the adjacent outlet channels connected to the pressure chamber when the parameters of the fluid flow entering the outlet channels change. The practical significance of the study consists in obtaining experimental data on the coefficients of hydraulic resistance of isolated flow-metering channels and adjacent outlet channels, mass flow rates in the inlet and outlet channels, calculated data on the fluid flow and in the determination of the regularity of these coefficients' change depending on the parameters of the fluid flow entering the outlet channels. The results of the study have practical and scientific value and meet the current needs of the nuclear industry. Their use will make it possible to improve the efficiency and reliability of reactors and heat exchangers of nuclear power plants. The presented data on the pressure chamber hydrodynamics can be used in the technical calculations of the pressure chambers of this type as applied to heat exchange equipment of nuclear power plants.
Keywords
hydrodynamics, flow part, pressure chamber, experimental, computational and analytical study, coefficient of local hydraulic resistance, ratio of mass flow rates, flow pattern, regularity of hydraulic resistance change
Article Text (PDF, in Russian)
References
- Abramovich G.N. Prikladnaya gazovaya dinamika. Izd. 4-e, ispr. i dop. [Applied Gas Dynamics. 4th ed., corr. and add.]. Moscow, Nauka Publ., 1976. 888 p.
- Abramovich G.N. Teoriya turbulentnykh struy [Theory of Turbulent Jets]. Moscow, Fizmatgiz Publ., 1960. 716 p.
- Avdeev E.F., Chusov I.A., Levchenko V.A. et al. Eksperimentalnoe issledovanie gidravlicheskogo soprotivleniya modeli korpusnogo reaktora. Izvestiya Vuzov. Yadernaya energetika, 2005, no. 4, pp. 77–85.
- Alekseenko S.V. Aerodinamicheskie effekty v energetike [Aerodynamic Effects in Power Engineering]. Preprint 216 IT SO AN SSSR – Preprint 216 IT SB USSR Academy of Sciences. Novosibirsk, 1990. 58 p.
- Anofriev G.I., Bystrov P.I., Krapivin A.M et al. Gidravlicheskie kharakteristiki odnoryadnykh kollektornykh system [Hydraulic characteristics of single-row collector systems.]. Teploenergetika – Thermal Engineering, 1971, no. 9, pp. 32–35.
- Afanasev I.N., Zinakov B.I., Khrapov B.I. et al. K raschetu kollektornykh sistem teploobmennykh apparatov [On the calculation of collector systems of heat exchangers]. Teploenergetika – Thermal Engineering, 1978, no. 5, pp. 83–85.
- Bystrov P.I., Mikhailov V.S. Gidrodinamika kollektornykh teploobmennykh apparatov [Hydrodynamics of collector heat exchangers]. Moscow, Energoizdat Publ., 1982. 224 p.
- Gabrianovich B.N., Delnov V.N. Osobennosti gidrodinamiki protochnykh chastey kollektornykh sistem teploobmennikov i reaktorov YaEU [Features of hydrodynamics of flow paths of collector systems of heat exchangers and reactors of nuclear power plants]. Sarov, FSUE “RFNC-VNIIEF”, 2016. 215 p.
- Delnov V.N. Gidrodinamika tipichnykh razdayushchikh kollektornykh sistem YaEU: sovremennye predstavleniya i perspektivy issledovaniya [Hydrodynamics of typical distribution manifold systems of nuclear power plants: modern concepts and research prospects]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2020, no. 4, pp. 116–128.
- Delnov V.N., Kotov M.A. Eksperimental'noe i analiticheskoe issledovanie gidrodinamiki simmetrichnoy ploskoy napornoy kamery s dvumya podvodyashchimi i dvumya otvodyashchimi tsilindricheskimi kanalami [Experimental and analytical study of the hydrodynamics of a symmetrical flat pressure chamber with two inlet and two outlet cylindrical channels]. Preprint FEI-3315 – Preprint IPPE-3315. Obninsk, AO “GNTs RF – FEI” Publ., 2025. 34 p.
- Delnov V.N., Mukhamadeev R.I., Patrakeeva A.I. Raschetnoe issledovanie techeniya zhidkosti v simmetrichnoi ploskoi napornoi kamere s dvumya podvodyaschmi i dvumya otvodyaschimi tsilindricheskimi kanalami [Computational Study of Fluid Flow in a Symmetrical Flat Pressure Chamber with Two Inlet and Two Outlet Cylindrical Channels]. Preprint FEI-3316 – Preprint IPPE-3316. Obninsk, AO “GNTs RF – FEI” Publ., 2025. 20 p.
- Delnov V.N. Utochnenie i primenenie skhem techeniya teplonositelya v razdayushchikh kollektornykh sistemakh teploobmennikov i reaktorov YaEU.Otv. red. A.A. Goverdovskiy [Refinement and Application of Coolant Flow Schemes in Distribution Collector Systems of Heat Exchangers and Reactors of Nuclear Power Plants]. Izbrannye trudy AO “GNTs RF – FEI” [Proc. of IPPE. Ed. A. A. Goverdovsky]. Obninsk, AO “GNTs RF – FEI” Publ., 2021. Pp. 175–196.
- Idelchik I.E. Aerodinamika tekhnologicheskikh apparatov (podvod, otvod i raspredelenie potokov po secheniyu apparatov) [Aerodynamics of Technological Apparatus (Inlet, Outlet, and Distribution of Flows over the Apparatus Cross-Section)]. Moscow, Mashinostroenie Publ., 1983. 351 p.
- Idelchik I.E. Spravochnik po gidravlicheskim soprotivleniyam. Izd. 2-e, pererab. i dop. [Handbook of Hydraulic Resistances. 2nd revised and enlarged edition]. Moscow, Mashinostroenie Publ., 1975. 559 p.
- Idelchik I.E. Nekotorye interesnye effekty i paradoksy v aerodinamike i gidravlike [Some Interesting Effects and Paradoxes in Aerodynamics and Hydraulics]. Moscow, Mashinostroenie Publ., 1982. 96 p.
- Kirillov P.L., Yurev Yu.S., Bobkov V.P. Spravochnik po teplogidravlicheskim raschetam (yadernye reaktory, teploobmenniki, parogeneratory). Pod obshch. red. P.L. Kirillova. Izd. 2-e, pererab. i dop. [Handbook of Thermal-Hydraulic Calculations (Nuclear Reactors, Heat Exchangers, Steam Generators); Ed. P.L. Kirillov. 2nd revised and enlarged ed.]. Moscow, Energoatomizdat Publ., 1990. 360 p.
- Kirillov P.L., Yurev Yu.S. Gidrodinamicheskie raschety: spravochnoe uchebnoe posobie [Hydrodynamic calculations: reference textbook]. Obninsk, GNTs RF – FEI Publ., 2007. 184 p.
- Kochenov I.S., Novosel'skii O.Y. Hydrostatic calculation of a nuclear reactor cooling system. At Energy, 1967, vol. 23, issue 2, pp. 806–812. DOI: https://doi.org/10.1007/BF01179626.
- Kuznetsov N.M., Nasedkin S.P., Demura V.T. K voprosu o raschete krugovogo razdatochnogo kollektora [On the issue of calculating the circular distribution manifold]. Atomic Energy, 1967, vol. 23, issue 2, pp. 137–143.
- Kumaev V.Ya., Leonchuk M.P., Shvetsov Yu.E. et al. Raschet techeniya teplonositelya v napornom kollektore yadernogo reaktora [Calculation of coolant flow in the pressure collector of a nuclear reactor]. Preprint FEI-1674 – Preprint IPPE-1674. Obninsk, FEI Publ., 1985.
- Lunina S.V., Delnov V.N. Testovye raschety gidrodinamiki kollektornykh sestem teploobmennikov i reaktorov YAEU [Test calculations of hydrodynamics of distribution header systems in NPP heat exchangers and reactors]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2020, no. 4, pp. 129–137.
- Meerovich I.G., Muchnik G.F. Gidrodinamika kollektornykh system [Hydrodynamics of collector systems]. Moscow, Nauka Publ., 1986.
- Mitenkov F.M., Golovko V.F., Ushakov P.A., Yurev Ю.S. Proektirovanie teploobmennykh apparatov AES: Monografiya [Design of heat exchangers of NPPs: Monograph.]. Moscow, Energoatomizdat Publ., 1988. 296 p.
- Nomofilov E.V., Romanova T.M. Issledovanie nekotorykh osobennostei techeniya zhidkosti v pryamougolnom i tsilindricheskom razdatochnykh kollektorakh [Study of Some Features of Fluid Flow in Rectangular and Cylindrical Distribution Manifolds]. Preprint FEI-647 – Preprint IPPE-647. Obninsk, FEI Publ., 1975. 21 p.
- Nomofilov E.V., Romanova T.M., Filimonov V.T. Raschety polei skorosti i davleniya v ploskom razdatochnom kollektore [Calculations of Velocity and Pressure Fields in a Flat Distribution Manifold]. Preprint FEI-391 – Preprint IPPE-391. Obninsk, FEI Publ., 1973. 36 p.
- Nomofilov E.V., Romanova T.M., Filivonov V.T. Raschet polei skorosti i davleniya v tsilindricheskom razdatochnom kollektore [Calculation of Velocity and Pressure Fields in a Cylindrical Distribution Manifold]. Preprint FEI-451 – Preprint IPPE-451. Obninsk, FEI Publ., 45 p.
- Oleinik V.N., Limar N.N. Opredelenie parametrov potoka v ploskom razdatochnom kollektore [Determination of Flow Parameters in a Flat Distribution Manifold]. Trudy Leningr. instituta vodnogo transporta. Vyp. 162 [Proceedings of the Leningrad Institute of Water Transport. Issue 162]. Leningrad, Transport Publ., 1978.
- RB-040-09. Raschety sootnosheniya i metodiki rascheta gidrodinamicheskikh i teplovykh kharakteristik elementov i oborudovaniya vodookhlazhdaemykh yadernykh energeticheskikh ustanovok: rukovodstvo po bezopasnosti: data vnedreniya 2009-09-01. Federalnaya sluzhba po ekologicheskomu, tekhnologicheskomu i atomnomu nadzoru (Rostekhnadzor). Izd. ofitsialnoe [RB-040-09. Calculations of the Ratio and Methodology for Calculating Hydrodynamic and Thermal Characteristics of Elements and Equipment of Water-Cooled Nuclear Power Plants: Safety Guide: Implementation Date 01.09.2009. Federal Service for Environmental, Technological and Nuclear Supervision (Rostekhnadzor). Official Publ.]. Moscow, Izdatelstvo standartov Publ., 2009. 252 p.
- Reshetov V.A., Smirnov V.P., Pikuleva T.A. Gidravlika krugovogo razdatochnogo kollektora [Hydraulics of a Circular Distribution Manifold]. Voprosy atomnoy nauki i tekhniki. Seriya: Reaktorostroenie – Issues of Nuclear Science and Technology. Series: Reactor Engineering, 1976, issue 13, no. 2, pp. 65–74.
- Subbotin V.I., Kascheev V.M., Nomofilov E.V. et al. Reshenie zadach reaktornoi teplofiziki na EVM [Computer-aided Solution of Reactor Thermal Physics Problems]. Moscow, Atomizdat Publ., 1979. 144 p.
- Taganov G.I. Vyravnivayuschee deistvie setok v potokakh zhdkostei i gazov [Equalizing Action of Grids in Liquid and Gas Flows]. Trudy TsAGI – TsAGI Transactions, 1947, no. 604. 14 p.
- Fomichev M.S. Issledovanie gidrodinamicheskikh kharakteristik potoka teplonositelya pri podvode ego v reaktor cherez odin tsentralnyi patrubok [Investigation of Hydrodynamic Characteristics of Coolant Flow When Introducing It into the Reactor Through One Central Nozzle]. Voprosy atomnoy nauki i tekhniki. Seriya: Reaktorostroenie – Issues of Nuclear Science and Technology. Series: Reactor Engineering, 1972, issue 1, pp. 19–32.
- Fomichev M.S. Eksperimentalnaya gidrodinamika YaEU [Experimental Hydrodynamics of Nuclear Power Plants]. Moscow, Energoatomizdat Publ., 1989. 248 p.
- Yurenev V.N., Lebedev P.D. Teplotekhnicheskii spravochnik: v 2-kh t. [Heat Engineering Handbook: in 2 vol.]. Moscow, Energiya Publ., 1975. 896 p.
- Yurev Yu.S., Bobkova V.E., Kolmakov A.P. Raschet raspredeleniya skorosti zhidkosti za vyravnivajuschei reshetkoi. Preprint FEI-862 – Preprint IPPE-862. Obninsk, FEI Publ., 1978. 16 p.
- Yurev Yu.S., Vladimirov M.A. Raschet gidravlicheskikh kharakteristik ploskogo osesimmetrichnogo razdatochnogo kollektora [Calculation of Hydraulic Characteristics of a Flat Axisymmetric Distribution Manifold]. Preprint FEI-1327 – Preprint IPPE-1327. Obninsk, FEI Publ., 1982. 18 p.
- Ferziger Joel H., Perić Milovan, Street Robert L. Computational Methods for Fluid Dynamics. 4th edition. Springer Nature Switzerland AG, 2020. ISBN: 978-3-319-99693-6 (eBook). DOI: https://doi.org/10.1007/978-3-319-99693-6.
- Hong Z.C., Chuang S.H. Kinetic theory approach to twin plan jet turbulent mixing analysis. AIAA J., 1988, vol. 26, pp. 303–310.
- Karvounis P. et al. Numerical and experimental study of flow characteristics in solar collector manifolds. Energies, 2019, vol. 12, no. 8, p. 1431.
- Masters G.F. Interaction of two plan, parallel jets. AIAA J., 1977, vol. 15, pp. 1756–1762.
- Miller D.R., Comings E.W. Force-momentum fields in a dual-jet flow. J. Fluid Mech, 1960, vol. 7, pp. 237–265.
- Tanaka E. The interference two-dimensional parallel jets. Bull. JSME, 1970, vol. 13, pp. 272–280.
- Tanaka E. The interference two-dimensional parallel jets.Bull. JSME, 1974, vol. 17, pp. 920–927.
- The Finite Volume Method in Computational Fluid Dynamics: An Advanced Introduction with OpenFOAM and Matlab. Fluid Mechanics and its Applications 113, 2015. Springer International Publishing, ISBN: 978-3-319-16873-9. DOI: 10.1007/978-3-319-16874-6.
UDC 621.039.4
Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2025, no. 4, 4:15
