THERMAL SCIENCE

International Scientific Journal

Miroslav H. Benišek

,

Milan R. Lečić

,

Đorđe S. Čantrak

,

Dejan B. Ilić

THE SCHOOL OF THE TURBULENT SWIRLING FLOW AT THE FACULTY OF MECHANICAL ENGINEERING UNIVERSITY OF BELGRADE

ABSTRACT
This review paper provides data about research activities at the School of the turbulent swirling flow at the Faculty of Mechanical Engineering, University of Belgrade, conducted in the period 1941 up to date. An overview is provided of the main directions in this research area. First papers dealt with the turbulent swirling flow in hydraulic turbines to be continued by the experimental and analytical approaches on the axial fans pressure side. The complexity of 3-D, non-homogeneous, anisotropic turbulent velocity fields required complex experimental and theoretical approach, associated with the complex numerical procedures. Analytical approaches, complex statistical analyses and experimental methods and afterwards CFD employed in the research are presented in this paper. The 150 scientific papers, numerous diploma works, several master of science (magister) theses, six Ph. D. theses and two in progress, 40 researchers, national and international projects are the facts about the School. Scientific references are chronologically presented. Numerous abstracts from scientific conferences, presentations, projects with industry and lectures are not given here. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. TR 35046]
KEYWORDS
swirl, turbulent flow, mathematical modeling, hot-wire anemometry, particle image velocimetry, laser Doppler anemometry, computational fluid dynamics
PAPER SUBMITTED: 2016-06-28
PAPER REVISED: 2016-12-09
PAPER ACCEPTED: 2017-02-03
PUBLISHED ONLINE: 2017-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI160628094B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 3, PAGES [S899 - S911]
REFERENCES
  1. Vušković, I., On Rotation Losses behind Turbomachines (in German), Escher Wyss Mitteilungen, Mitteilung der Forschungsabteilung, (1941), pp. 14-19
  2. Vušković, I., The Dependence of the Vortex Core Pseudo Cavitation behind the Hydraulic Turbines Impellers (in Serbian), Proceedings of the Faculty of Mechanical Engineering, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 1959-60
  3. Obradović, N., Basics of Turbomachinery (in Serbian), Građevinska knjiga, Belgrade, 1961
  4. Vušković, I., Velenšek, B., The Runner Outlet Vortex-Core Flow and its Influence on Pressure Pulsations in Francis and Propeller Turbine Draught Tubes, Proc. Instn Mech Engrs, 181 (1966-67), 3A, pp. 19-24
  5. Protić, Z., Determination of the Dead water Diameter in Swirling Flow in Straight Pipes (in Serbian), Proceedings, 10th Yugoslav Congress of Rational and Applied Mechanics, Baško Polje, Yugoslavia, 1970, pp. 429-442
  6. Benišek, M., Research on the Hydrodynamic Stability of the Swirling Flows in the Axisymmetric Rotational Geometries (in Serbian), Mag. Thesis, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 1976
  7. Benišek, M., Research on the Existence of the Stable Profile of the Swirling Flow in Pipes (in Serbian), Proceedings, 11th Yugoslav Congress of Rational and Applied mechanics, Sarajevo, Yugoslavia, 1976, Vol. 1-5, pp. S.1-13
  8. Vušković, I., Benišek, M., Flow Forms in the Hydraulic Bulb Turbines Siphons, Proceedings, 5th National Conference Hydro-Turbo, Brno, Czechoslovakia, 1976, Vol. 2, pp. 86-97
  9. Benišek, M., Investigation on the Existence of Stable Profile Vortex Flow through Cylindrical Long Lined Circular Pipes, ZAMM, 57 (1977), pp. T173-T175
  10. Vušković, I., et. al., Special Features of the Flow in the Inlet Duct of the Bulb Turbines (in German), OIZ-Springer-Verlag, 20 (1977), 7, pp. T.220-T.227
  11. Čantrak, S., Benišek, M., On Classes of Stationary Solutions of Vortex Non-Dissipative Flow in Magnetohydrodynamics (in Serbian), Proceedings, 14th Yugoslav Congress of Theoretical and Applied Mechanics, Portorož, Yugoslavia, 1978, Vol. B1, pp. 27-34
  12. Čantrak, S., Benišek, M., On a Type of the Vorticity Nondissipative Flow in Magnetohydrodynamics, ZAMM, 58 (1978), pp. T261-T263
  13. Benišek, M., Investigation of the Swirling Flow in Long Lined Circular Pipes (in Serbian), Ph. D. thesis, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 1979
  14. Protić, Z., Benišek, M., Determination of System Characteristic at Swirling Flow in a Duct Connected with a Fan without Straightening Vanes (in Serbian), Proceedings, 15th Yugoslav Congress of Theoretical and Applied Mechanics, Kupari, Yugoslavia, 1981, Vol. B, pp. 361-368
  15. Benišek, M., Čantrak, S., Investigation of the Characteristics of Swirling Incompressible Flows (in Serbian), Proceedings, 15th Yugoslav Congress of Theoretical and Applied Mechanics, Kupari, Yugoslavia, 1981, Vol. B, pp. 261-268
  16. Benišek, M., Protić, Z., Investigation of the Lost Flow Energy for Swirling Flow in Long Lined Circular Pipes (in Serbian), Proceedings, 15th Yugoslav Congress of Theoretical and Applied Mechanics, Kupari, Yugoslavia, 1981, Vol. B, pp. 269-276
  17. Acrivlellis, M., et.al., Investigations of Correlations of Higher Order in Turbulent Swirling Flow (in German), Proceedings, 15th Yugoslav Congress of Theoretical and Applied Mechanics, Kupari, Yugoslavia, 1981, Vol. B, pp. 253-259
  18. Benišek, M., Investigation of Turbulent Stresses for Swirling Flow in Long Lined Circular Pipes, ZAMM, 61 (1981), pp. T138-T141
  19. Čantrak, S., Experimental Investigations of Statistical Properties of Turbulent Swirling Flows in Pipes and Diffusers (in German), Ph. D. thesis, University Karlsruhe, Germany, 1981
  20. Protić, Z., Benišek, M., The Behavior of the System Channel Distribution Network in the Coupling with the Axial Fan (in Serbian), Proceedings, 12th Congress KGH, SMEITS, Belgrade, Yugoslavia, 1981, Vol. 1, pp. 9-16
  21. Čantrak, S., Experimental Investigations of Statistical Properties of Turbulent Swirling Flows in Pipes and Diffusers (in German), Fluid Mechanics and Machinery, TU Karlsruhe, Germany, 1982, Book 31/82, pp. 23-66
  22. Acrivlellis, M., et. al., Investigation of Higher Order Correlations in Swirling Flow in Pipe (in German), Z. f. Flugwiss. u. Weltraumforschung (ZFW), 6 (1982), 2, pp. 117-120
  23. Acrivlellis, M., et. al., Statistical Properties of the Turbulent Swirling Flows in Pipe (in German), ZAMM, 62 (1982), pp. 188-190
  24. Čantrak, S., Benišek, M., The Characteristic Properties of the Turbulent Swirling Flow in Pipes Determined from the Average Velocity Distributions (in German), ZAMM, 62 (1982), 4, pp. T201-T203
  25. Benišek, M., Investigation of Shear Stresses for Turbulent Swirling Flow in Long Lined Circular Pipes, ZAMM, 62 (1982), 5, pp. T193-T197
  26. Čantrak, S., Statistical Moments of Higher Order and Distributions of the Velocity Probabilities in Turbulent Swirling Flow (in Serbian), Proceedings, Mathematical Institute, New Series, Belgrade, Serbia, 1984, Vol 4 (12), pp. 45-52
  27. Čantrak, S., et. al., Swirling Flow Eddy Viscosity in the Light of Boussinesq's Hypothesis on Turbulent Stresses (in Serbian), Proceedings, 16th Yugoslav Congress of Theoretical and Applied Mechanics, Bečići, Yugoslavia, 1984, Vol. B, pp. 177-184
  28. Benišek, M., Analytical Calculations of Flow Field of Incompressible Turbulent Swirling Flow in Long Lined Circular Pipes (in Serbian), Proceedings, 16th Yugoslav Congress of Theoretical and Applied Mechanics, Bečići, Yugoslavia, 1984, Vol. B, pp. 185-193
  29. Čantrak, S., Statistical Analysis and Structure of Turbulent Swirling Flow in Diffuser (in Serbian), Proceedings, 16th Yugoslav Congress of Theoretical and Applied Mechanics, Bečići, Yugoslavia, 1984, Vol. B, pp. 365-372
  30. Čantrak, S., Bogner, M., Investigations of the Turbulent Transfer Mechanism in Complicated Swirling Flow Processes, Proceedings, 8th International CHISA, Prague, Czechoslovakia, 1984, No. 1042, pp. 9
  31. Protić, Z., Benišek, M., Determination of the Flow Losses in Pipes with Inbuilt Axial Fans without Guide Vanes (in German), Proceedings, World Congress on heating ventilating and air conditioning CLIMA 2000, Copenhagen, Denmark, 1985, pp. 1-6
  32. Čantrak, S., et. al., Turbulence Structure and Mechanism of the Transport Processes in Turbulent Swirling Flow in Diffuser (in German), ZAMM, 65 (1985), 4, pp. T189-T191
  33. Čantrak, S., Theoretical and Experimental Research of the Rankine Swirl Influence on the Mechanism of Turbulence Transfer Processes in Inner Swirling Flows (in Serbian), Procesna tehnika, 1 (1985), pp. 29- 39
  34. Benišek, M., et. al., Investigation on the Incompressible Turbulent Swirling Flow Characteristics Change Along Straight Circular Pipes, ZAMM, 66 (1986), 4, pp. T195-T197
  35. Čantrak, S., Benišek, M., Structure of the Turbulent Swirling Flow in Pipe with Constant Circulation and for Various Swirl Intensities (in Serbian), Proceedings, 17th Yugoslav Congress of Theoretical and Applied Mechanics, Zadar, Yugoslavia, 1986, Vol. B, pp. 165-170
  36. Čantrak, S., et. al., Influence of Swirl on Structural Parameters of Turbulent Pipe Flow, ZAMM, 67 (1987), 5, pp. T271-T272
  37. Čantrak, S., Influence of Swirl on Structure of Turbulent Flow in Cylindrical and Diffuser Elements of HVAC Facilities (in Serbian), Proceedings, 18th Congress KGH, SMEITS, Belgrade, Yugoslavia, 1987, pp. 219-228
  38. Protić, Z., Benišek M., A Proposal for the Estimation of the Performance Curve in Testing of Tube Axial Flow, Proceedings, 8th Conference on fluid machinery, Budapest, Hungary, 1987, Vol. 2, pp. 600-615
  39. Benišek, M., et. al., A Theoretical and Experimental Investigation of the Turbulent Swirling Flow Characteristics in Circular Pipes, ZAMM, 68 (1988), 5, pp. T280-T282
  40. Čantrak, S. M., Contribution to the Theoretical Investigation of Swirling Stationary Flow of Ideal Electrically Conductive Gas, ZAMM, 68 (1988), 5, pp. T282-T284
  41. Čantrak, S., On Statistical Properties of Turbulent Swirling Flows (in Serbian), Proceedings, 18th Yugoslav Congress of Theoretical and Applied Mechanics, Vrnjačka Banja, Yugoslavia, 1988, Vol. B, pp. 57-60
  42. Benišek, M., et. al., An Investigation on the Incompressible Turbulent Mean Swirling Flow Characteristics Change along Straight Conical Diffuser, ZAMM, 70 (1990), 5, pp. T456-T458
  43. Benišek, M., et. al., Losses of the Turbulent Swirling Flow Specific Energy in Straight Conical Diffusers (in Serbian), Proceedings, 19th Yugoslav Congress of Theoretical and Applied Mechanics, Ohrid, Yugoslavia, 1990, Vol. B, pp. 7-12
  44. Benišek, M., et. al., Theoretical and Еxperimental Investigation of the Turbulent Swirling Flow Characteristics in a Conical Diffuser, ZAMM, 71 (1991), 5, pp. T453-T456
  45. Protić, Z., et. al., Swirling Flow in the Circular Pipes - the Characteristic Values and Flow-Patterns Specifics, ZAMM, 71 (1991), 5, pp. T456-T459
  46. Čantrak, S., Modeling of Flow Processes in Apparatus and Systems of Process Mechanical Engineering (in Serbian), Procesna tenika, 3 (1991), pp. 5-9
  47. Čantrak, S., On Some Problems of Flow, Mass and Heat Transfer in HVAC Components and Systems (in Serbian), Proceedings, 22nd Congress KGH, SMEITS, Belgrade, Yugoslavia, 1991, Vol. 1, pp. 64-71
  48. Čantrak, S., The Structure of Turbulent Swirling Flow, introductory lecture (in Serbian), Proceedings, Symposium Contemporary problems of Fluid Mechanics dedicated to the Memory of Academician Prof. Dr. Konstantin P. Voronjec, Univ. of Belgrade, Faculty of Mechanical Engineering, Belgrade, Yugoslavia, 1992, pp. 41-59
  49. Čantrak, S., et. al., Coherent Structures and Shear Layer in Wall-Bounded Turbulent Swirling Flows, Proceedings, International ICHMT-Symposium on Spatio-Temporal Structure and Chaos in Heat and Mass Transfer Processes, Athens, Greece, 1992, pp. 51-61
  50. Benišek, M., et. al., Energy Loss and Coriolis Coefficient Change in Straight Draft Tube of the Bulb Turbine, Proceedings, 16th Symposium of the IAHR, Section on Hydraulic Machinery and Cavitation, Sao Paolo, Brazil, 1992, Vol. 1, pp. 413-421
  51. Benišek, M., et. al., The Swirling Flow Losses of Turbulent Flow in Straight Circular Pipes and Conical Diffusers (in Serbian), Proceedings, Symposium Contemporary Problems of Fluid Mechanics dedicated to the Memory of Academician Prof. Dr. Konstantin P. Voronjec, Univ. of Belgrade, Faculty of Mechanical Engineering, Belgrade, Yugoslavia, 1992, pp. 185-192
  52. Čantrak, S., Problems of Turbulent Exchange and Mixing Processes in Homogeneous and Heterogeneous Hydromechanical Systems (in Serbian), Procesna tehnika, 3-4 (1992), pp. 25-29
  53. Benišek, M., et. al., Conrad Probe Three-Dimensional Flow Field Measurements using the Method of Universal Calibration Characteristic (in Serbian), Termotehnika, 19 (1993), 1-2, pp.75-84
  54. Čantrak, S., et. al., Turbulence in Axisymmetrical Conduits with Combined Swirl in Inlet Section (in Serbian), Proceedings, 20th Yugoslav Congress of Theoretical and Applied Mechanics, Kragujevac, Yugoslavia, 1993, Vol. B, pp. 165-168
  55. Benišek, M., et.al., Investigation on the Energy Loss and Coriolis Coefficient Change of a Swirling Flow in Straight Circular Pipes (in Serbian), Proceedings, 20th Yugoslav Congress of Theoretical and Applied Mechanics, Kragujevac, Yugoslavia, 1993, Vol. B, pp. 282-285
  56. Čantrak, S., Lečić, M., Nonlocal Turbulent Mass and Heat Transfer, Proceedings, 24th Congress KGH, SMEITS, Belgrade, Yugoslavia, 1993, Vol. 1, pp. 78-83
  57. Čantrak, S., Lečić M., Modeling and Calculation of Turbulent Flows with Intensified Turbulent Transfer (in Serbian), Procesna tehnika, 3-4 (1993), pp. 19-22
  58. Čantrak, S., et. al., Coherent Structures and Shear Layer in Wall-bounded Turbulent Swirling Flows, in: Spatio-Temporal Structure and Chaos in Heat and Mass Transfer Processes, (Ed. L.M. Pismen, M.S. Todorović), Mrlješ & Sons Ltd. and International Centre for Heat and Mass Transfer, Belgrade, 1993, pp. 29-40
  59. Čantrak, S., et. al., Turbulent Transfer Processes in Turbulent Swirling Flows in the Elements of Hydro Facilities (in Serbian), Proceedings, 11th Conference of Hydraulic Engineers and Hydrologists, Belgrade, 1994, pp. 317-322
  60. Benišek, M., et. al., An Investigation on the Changes of Coriolis and Energy Loss Coefficients for a Swirling Flow Along Straight Circular Pipes, ZAMM, 74 (1994), 5, pp. T349-T351
  61. Vukašinović, B., et. al., Physical and Mathematical Modeling of Momentum and Heat Transfer in Nonhomogeneous Turbulence (in Serbian), Proceedings, Symposium: Thermal Hydraulic Processes in Energetics, Thermal Hydraulics '94, Univ. of Belgrade, Faculty of Mechanical Engineering, Belgrade, 1994, pp. A.1-1-A.1-7
  62. Čantrak, S., et. al., On Mathematical Modeling of the Turbulent Transfer Processes (in German), Bulletin for Applied Mathematics (BAM), 1 (1994), pp. 87-96
  63. Čantrak, S., et. al., On Turbulent Exchange Processes in Swirling Flows (in German), ZAMM, 74 (1994), 5, pp. T453-T455
  64. Lečić, M., et. al., Analytical and Numerical Methods for Calculation of the Thermohydraulic Characteristics of Swirling Flows (in Serbian), Proceedings, 25th Congress KGH, SMEITS, Belgrade, Yugoslavia, 1994, Vol. 1, pp. 291-298
  65. Benišek, M., et. al., The Method for Determination of Turbulent Stresses for a Swirling Flow in Straight Circular Diffusers, ZAMM, 74 (1994), 5, pp. T351-T353
  66. Benišek, M., et. al., Investigation on the Energy Loss and Coriolis Coefficient Changes for Turbulent Swirling Flow in Straight Conical Diffuser, ZAMM, 75 (1995), SI, pp. S325-S326
  67. Čantrak, S., et. al., Investigation of Turbulent Transport Mechanism in Hydromechanic Processes in the Presence of Centrifugal Force (in Serbian), Procesna tehnika, 3 (1995), pp. 21-26
  68. Čantrak, S., Turbulent Transfer Processes in Swirling Flow (in German), Transactions Faculty of Mechanical Engineering, 24 (1995), 1, pp. 20-24
  69. Vukašinović B., et. al., Investigations of Non-local Turbulent Diffusion in Swirling Flow (in Serbian), Proceedings, 21st Yugoslav Congress of Theoretical and Applied Mechanics, Niš, Yugoslavia, 1995, Vol. B7, pp. 172-177
  70. Benišek, M., et. al., Investigation on the Mean Turbulent Swirling Flow Characteristics Change along a Circular Pipe (in Serbian), Proceedings, 21st Yugoslav Congress of Theoretical and Applied Mechanics, Niš, Yugoslavia, 1995, Vol. B, pp. 178-183
  71. Čantrak, S., et. al., Statistical and Structural Characteristics of the Shear Layer in Turbulent Swirling Flows (in Serbian), Proceedings, 21st Yugoslav Congress of Theoretical and Applied Mechanics, Niš, Yugoslavia, 1995, Vol. B, pp. 166-171
  72. Vukašinović, B., Turbulent Transfer and Modeling Problems in Swirling Flows (in Serbian), Mag. thesis, Univ. of Belgrade, Faculty of Mechanical Engineering, Belgrade, 1996
  73. Čantrak, S., et. al., Turbulence Structure and Statistical Properties of the Shear Layer in Inner Turbulent Swirling Flows (in German), ZAMM, 76 (1996), S. 5, pp. 91-92
  74. Lečić, M., et. al., Structure and Non-local Properties of Turbulent Swirling Flows, Proceedings, 2nd International Symposium: Contemporary Problems of Fluid Mechanics, Belgrade, 1996, pp. 257-260
  75. Benišek, M., et. al., Some Investigation Aspects on Mean Swirling Flow Characteristics in Straight Circular Pipes, Proceedings, 2nd International Symposium on Contemporary Problems of Fluid Mechanics, Belgrade, Yugoslavia, 1996, pp. 81-84
  76. Benišek, M., et. al., Application of the Method of Kinetic Balance for Flow Passages Forming, in: Hydraulic Machinery and Cavitation (Ed. E. Cabrera et. al.), Kluwer Academic Publishers-Dordrecht, 1996, Vol. 1, pp. 455-463
  77. Protić, Z., et. al., Experimental Investigation on Flow Field Characteristics at the Exit of Tube-Axial Flow Fan for the Cases of Free Discharge and Discharge into a Pipe, Proceedings, 2nd International Symposium on Contemporary Problems of Fluid Mechanic, Belgrade, Yugoslavia, 1996, pp. 209-212
  78. Čantrak, S., et. al., Contemporary Problems in Turbulent Swirling Flows, Facta Universitatis, 2 (1997), 7/2, pp. 369-380
  79. Benišek, M., et. al., Investigation on the Characteristic Parameters of Swirling Flow (in Serbian), Proceedings, 22nd Yugoslav Congress of Theoretical and Applied Mechanics, Vrnjačka Banja, Yugoslavia, 1997, pp. 100-105
  80. Benišek, M., et. al., Optimal Operating Parameters of Tube-Axial Fans Coupled with Piping System of Circular Cross-Section, Proceedings, 5th Conference on Industrial Fans, Zakopane, Poland, 1997, pp. 23- 30
  81. Čantrak, S., Turbulence - the Phenomenon of Classical and Statistical Mechanics, Plenary lecture by invitation (in Serbian), Proceedings, 22nd Yugoslav Congress of Theoretical and Applied Mechanics, Vrnjačka Banja, Yugoslavia, 1997, pp. 104-120
  82. Belošević, et. al., A Contribution to the Investigation of Swirling Flow Turbulence Kinetic Energy and Its Dissipation in Long Straight Circular Pipe, Proceedings on CD-ROM, 13th International Congress of Chemical and Process Engineering CHISA '98, Praha, Czech Republic, 1998, pp. 1-6
  83. Čantrak, S., et. al., Non-local Properties of the Turbulent Transport Processes (in German), ZAMM, 78 (1998), Suppl. 1, S.325-S.326
  84. Benišek, M., et. al., Research of the Flow Energy Losses and Coriolis coefficients in the Hydraulic Bulb Turbine Straight Siphons (in Serbian), Proceedings, 12th Conference of the Yugoslav Society for Hydraulic Research, Subotica, 1998, pp. 289-296
  85. Čantrak, S., et. al., On the Structural Parameters of the Turbulent Swirling Flow (in German), ZAMM, 79 (1999), Suppl. 3, S.671-S.672
  86. Benišek, M., et. al., Duty Point of the Axial Fan Inbuilt in the Straight Pipe without Guide Vanes, Proceedings, 30th Congress on Heating, Refrigerating and Air Conditioning, Belgrade, 1999, pp. 137- 143
  87. Čantrak, S., et. al., Contemporary Problems of Modeling, Simulation and Engineering Analysis of Flow Processes in Mechanical Systems (in Serbian), Proceedings, 25th JUPITER Conference with foreign participants (12th Symposium CAD/CAM), Univ. of Belgrade, Faculty of Mechanical Engineering and JUPITER Association, Belgrade, 1999, Vol., pp. 2.79-2.84
  88. Benišek, M., et. al., Tube-Axial Fan Behaviour in Connection with Straight Circular Pipe System, Proceedings on CD-ROM, 11th Conference on Fluid and Heat Machinery and Equipment, Budapest, Hungary, 1999, No.10, pp. 1-8
  89. Glavčić, Z., Čantrak, S., Modeling of the Turbulent Swirling Flow in Hydraulic and Pneumatic Systems (in Serbian), Proceedings, 26th JUPITER Conference with foreign participants, Belgrade, 2000, pp. 2.105-2.110
  90. Čantrak, S., et. al., Problems of Non-local Turbulent Transfer Modelling, ZAMM, 81 (2001), S4, pp. S.913-S.914
  91. Benišek, M., et. al., Investigation of the Swirling Flow Characteristics in a Conical Diffuser, ZAMM, 81 (2001), S4, pp. S.907-S.908
  92. Čantrak, Dj., et. al., On the Anisotropy of the Turbulent Viscosity, Proceedings, International Conference Classics and Fashion in Fluid Machinery, Belgrade, Serbia, 2002, pp. 139-148
  93. Benišek, M., et. al., One Method for Flow Passages Forming and Determination of Vortex Core Radius, Proceedings, International Conference Classics and Fashion in Fluid Machinery, Belgrade, Serbia, 2002, pp. 241-246
  94. Benišek, M., et. al., Application of Lagrange's Principle of Virtual Work to Determine the Radius of the Vortex Core (in Serbian), Proceedings, 13th Conference of the Yugoslav Society for Hydraulic Research JDHI, Soko Banja, Serbia, 2002, pp. 91-97
  95. Čantrak, S., et. al., Modelling of Transition Process behind the Local Resistance Depending on Flow Rate Circumference Component, Proceedings, 4th International Conference Heavy Machinery - HM '02, Kraljevo, Serbia, 2002, pp. E.17-E.20
  96. Glavčić, Z., et. al., Analysis of Flow Energy Losses on Transition Regimes of Flow Energetic Parameter, Proceedings, 4th International Conference Heavy Machinery - HM '02, Kraljevo, Serbia, 2002, pp. E.45-E.48
  97. Lečić, M. R., Theoretical and Experimental Investigation of Turbulent Swirling Flows (in Serbian), Ph.D. thesis, University of Belgrade, Faculty of Mechanical Engineering, 2003
  98. Benišek, M., et. al., One Method for Determination of Fluid Flow Boundary Shape and Swirling Flow Core Radius, PAMM, 2 (2003), 1, pp. 324-325
  99. Benišek, M., et. al., Axial Fan`s Hub Radius Determination by the Lagrange`s Principle of Virtual Work, Proceedings, 6th Conference Industrial Fans, Gliwice, Poland, 2003, pp. 5-12
  100. Čantrak, S., et. al., Anisotropic Turbulence and Non-Local Diffusion in Swirl Shear Flow, PAMM, 2 (2003), 1, pp. 346-347
  101. Čantrak, S., Applied Fluid Mechanics (in Serbian), in: Thermotechnical Engineer (Ed. M. Bogner), Interklima-grafika, SMEITS, Belgrade, Vol. 1, 2004, pp. 110-227
  102. Benišek, M., et. al., Investigation of the Swirling Flow Characteristics in the Conical Diffuser, Proceedings on CD-ROM, 23rd Yugoslav Congress of Theoretical and Applied Mechanics, Belgrade, Serbia, 2001, Vol. B, pp. 39-44
  103. Čantrak, S., et. al., Non-gradient Turbulent Diffusion in Internal Swirling Flows, Proceedings on CDROM, 23rd Yugoslav Congress of Theoretical and Applied Mechanics, Belgrade, Serbia, 2001, Vol. B, pp. 87-92
  104. Lečić, M. R., et. al., Piezoresistant Probe for Measurement of Velocity in One-Dimensional Incompressible Flow, FME Transactions, New Series, 32 (2004), 1, pp. 25-30
  105. Stevanović, Ž., et. al., Contribution to Experimental and Numerical Analysis of Confined Swirling Flow, Proceedings, Conference on Modelling Fluid Flow (CMFF'06), Budapest, Hungary, 2006, Vol. I, pp. 418-423
  106. Čantrak, Đ., et. al., Presentation of the PIV (Particle Image Velocimetry) Measurement Technique on the Experimental Test Rig for Turbulent Swirling Flow Investigation in Pipes (in Serbian), Proceedings, Metrologist Congress, Zlatibor, Serbia, 2007, pp. 415-426
  107. Ćoćić, A. S., Investigation of the Inhomogeneous Turbulence Structure by Using Invariant theory (in Serbian), Magister Thesis, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2007
  108. Ilić, J., et. al., Laser Sheet Scattering and the Cameras' Positions in Particle Image Velocimetry, Аcta Physica Polonica A, 112 (2007), 5, pp. 1113-1118
  109. Lečić, M., et. al., V-type Hot Wire Probe Calibration, FME Transactions, New Series, 35 (2007), 2, pp. 55-62
  110. Lečić, M., et. al., Devices for Positioning and Repairing of Hot-wire Anemometry Probes for the Study of Turbulent Swirling Flow in Pipes (in Serbian), Proceedings, 34th Jupiter Conference with international participation, Symposium 30 NU-Robots-FTS, 2008, pp. 3.7-3.12
  111. Čantrak, Đ., et. al., PIV Measurements and Statistical Analysis of the Turbulent Swirl Flow Field, Proceedings on CD-ROM, ISFV 13 - 13th International Symposium on Flow Visualization, FLUVISU 12 - 12th French Congress on Visualization in Fluid Mechanics, Nice, France, 2008, ID 183-080420
  112. Lečić, M. R., et. al., Piezoresistant Velocity Probe, Experimental Tehniques, 33 (2009), 3, pp. 73-79
  113. Lečić, M. R., A New Experimental Approach to the Calibration of Hot-wire Probes, Flow Measurement and Instrumentation, 20 (2009), 3, pp. 136-140
  114. Protić, Z. D., et. al., Novel Methods for Axial Fan Impeller Geometry Analysis and Experimental Investigations of the Generated Swirl Turbulent Flow, Thermal Science, 14 (2010), Suppl., pp. S125- S139
  115. Benišek, M. H., et. al., Aplication of New Classical Probes in Swirl Fluid Flow Measurements, Experimental Techniques, 34 (2010), 3, pp. 74-81
  116. Benišek, M., et. al., Investigation of the Turbulent Swirl Flows in a Conical Diffuser, Thermal Science, 14 (2010), Suppl., pp. S141- S154
  117. Hoseini, A., Analysis of the Influence of the Rankine Vortex on the Turbulent Transfer Processes (in Serbian), Mag. thesis, Uni. of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2011
  118. Čantrak, Đ., Janković, N., PIV and LDA Research of the Turbulent Swirl Flow behind Axial Fans in Pipes, Proceedings, International Conference on Applications for Image based Measurements ICAIM, Laupheim, Ulm, Germany, 2011
  119. Čantrak, Đ., et. al., Stereoscopic PIV Measurements and Visualization of a Turbulent Swirl Flow Behind an Axial Fan in a Pipe, Proceedings, 3th International Symposium Contemporary Problems of Fluid Mechanics, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2011, pp. 289- 300
  120. Čantrak, Đ., et. al., LDA, Classical Probes and Flow Visualization in Experimental Investigation of Turbulent Swirl Flow, Proceedings, DEMI 2011, 10th International Conference on Accomplishments in Electrical and Mechanical Engineering and Information Technology, University of Banja Luka, Faculty of Mechanical Engineering, Banja Luka, Republic of Srpska, 2011, pp. 489-494
  121. Čantrak, Đ., Janković, N., Use of Modern Measurement and Visualization Techniques in Research of Turbulent Swirl Flow in Ventilation Systems, Proceedings, 15th International Passive House Conference 2011, Innsbruck, Austria, 2011, pp. 579-580
  122. Čantrak, Đ., et. al., Turbulent Swirl Flow Dynamics, Proceedings, IConSSM 2011, 3th International Congress of Serbian Society of Mechanics, Vlasina Lake, Serbia, 2011, pp. 251-261
  123. Lečić, M., et. al., Measurement and Calibration Equipment for Experimental Research of Turbulent Swirling Flow in Straight Pipe, Proceedings, 3th International Symposium Contemporary problems of Fluid Mechanics, Belgrade, Serbia, 2011, pp. 281-288
  124. Čantrak, S. M., Hydrodynamics (in Serbian), V revised edition, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2012
  125. Čantrak, Đ. S., Analysis of the Vortex Core and Turbulence Structure Behind Axial Fans in a Straight Pipe Using PIV, LDA and HWA Methods (in Serbian), Ph.D. thesis, Univ. Belgrade, Fac. Mech. Eng., Belgrade, 2012
  126. Čantrak, Đ. S., et. al., Stereo PIV and LDA Measurements at the Axial Fan Outlet, Proceedings on CDROM, 15th Int. Symp. on Flow Visual., Minsk, 2012, ID ISFV15-072-S16
  127. Mattern, P., et. al., Investigations on the Swirl Flow Caused by an Axial Fan: A Contribution to the Revision of ISO 5801, Proceedings on CD-ROM, Fan 2012, International Conference on Fan Noise, Technology and Numerical Methods, Senlis, France, 2012, 11 pages, fan2012-68-MATTERN
  128. Čantrak, Đ., et. al., Turbulent Swirl Flow Characteristics and Vortex Core Dynamics Behind Axial Fan in a Circular Pipe, Proceedings, CMFF'12, Budapest University of Technology and Economy, Budapest Hungary, 2012, Vol. II, pp. 749-756
  129. Burazer, J. M., et. al., On the Non-local Turbulent Transport and Non-gradient Thermal Diffusion Phenomena in HVAC Systems, FME Transactions, 40 (2012), 3, pp. 119-125
  130. Ristić, S. S., et. al., Estimation of Laser Doppler Anemometry Measurement Volume Displacement in Cylindrical Pipe Swirl Flow, Thermal Science, 16 (2012), 4, pp. 1027-1042
  131. Ristić, S., et. al., Overview of Uncertainty Sources in Flow Velocity Vector Measurement by LDA, Proceedings, 5th International Scientific Conference on Defensive Technologies, OTEH 2012, Belgrade, Serbia, 2012, pp. 43-48
  132. Čantrak, Đ., et. al., Investigation of Structure and Non-Gradient Turbulent Transfer in Swirling Flows, PAMM, 12 (2012), 1, pp. 497-498
  133. Čantrak, Dj. S., Advanced Research in Energy Systems - Bilateral Project Karlsruhe-Belgrade, Proceedings, Resources of Danubian Region: The Possibility of Cooperation and Utilization, Humboldt- Club Serbien, 2013, pp. 55-76
  134. Ilić, J. T., et. al., The Comparison of Air flow LDA Measurement in Simple Cylindrical and Cylindrical Tube with Flat External Wall, FME Transactions, 41 (2013), 4, pp. 333-341
  135. Ćoćić, A., et. al., Numerical Simulation of Turbulent Swirling Flows, PAMM, 13 (2013), pp. 309-310
  136. Ćoćić, A. S., Modeling and Numerical Simulations of Swirling Flows (in Serbian), Ph.D. thesis, Univ. Belgrade, Fac. Mech. Eng., Belgrade, 2013
  137. Ilić, D. B., Swirl Flow in Conical Diffusers (in Serbian), Ph.D. thesis, Univ. Belgrade, Fac. Meh. Eng., Belgrade, 2013
  138. Lečić, M. R., Structure and Statistical Properties of the Turbulent Swirling Flow in Straight Pipe (in Serbian), Monography, Univ. of Belgrade, Fac. Mech. Eng., Belgrade, 2013
  139. Čantrak, Đ. S., et. al., Laser Аnemometry in Fan Testing (in Serbian), Energy, Economy, Ecology, 15 (2013), 3-4, pp. 89-96
  140. Čantrak, Đ. S., Janković N. Z., Reynolds Number Influence on the Statistical Characteristics of Turbulent Swirl Flow, Proceedings, 4th International Congress of Serbian Society of Mechanics, Vrnjačka Banja, Serbia, 2013, pp. 273-278
  141. Čantrak, Đ. S., et. al., Laser Insight into the Turbulent Swirl Flow behind the Axial Flow Fan, Proceedings, ASME Turbo ASME TURBO EXPO 2014, Expo 2014: Turbine Technical Conference and Exposition, GT 2014, Technical track: Fans and Blowers, Düsseldorf, Germany, 2014, Paper No. GT2014-26563, pp. V01AT10A024, 10 pages
  142. Čantrak, Đ. S., et. al., Influence of the Axial Fan Blade Angle on the Turbulent Swirl Flow Characteristics, Scientific Technical Review, 64 (2014), 3, pp. 23-30
  143. Ćoćić, A. S., et. al., Numerical analysis of Axisymmetric Turbulent Swirling Flow in Circular Pipe, Thermal Science, 18 (2014), 2, pp. 493-505
  144. Lečić, M. R., et. al., Original Measuring and Calibration Equipment for Investigation of Turbulent Swirling Flow in Circular Pipe, Experimental Techniques, 38 (2014), 3, pp. 54-62
  145. Ćoćić, A., et. al., Numerical Investigations of Flows in Axial and Radial Fans Using OpenFOAM, Book of abstracts, 9th International OpenFOAM Workshop, Zagreb, 2014, ID OFW09.0019
  146. Čantrak, Đ. S., Janković, N. Z., Influence of the Reynolds Number on the Statistical and Correlation- Spectral Properties of Turbulent Swirl Flow, Theoretical and Applied Mechanics, Series: Special Issue dedicated to memory of Anton Dimitrija Bilimovič (1879-1970), 41 (2014), S1, pp. 137-148
  147. Čantrak, Đ. S., et. al., Investigation of the Turbulent Swirl Flow in Pipe Generated by Axial Fans using PIV and LDA Methods, Theoretical and Applied Mechanics, 42 (2015), 3, pp. 211-222
  148. Čantrak, Đ. S., et. al., Statistical Characteristics and Time Autocorrelation Coefficients of the Turbulent Swirl Flow in Pipe, PAMM, 16 (2016), 1, pp. 579-580
  149. Lečić, M. R., et. al., Positioning Devices for Measuring Spatial Velocity Correlations in Turbulent Swirl Flow in the Pipe by Hot-wire Probes, Experimental Techniques, 40 (2016), 1, pp. 121-128
  150. Čantrak, Đ. S., et. al., Study of the Turbulent Swirl Flow in the Pipe behind the Axial Fan Impeller, Mechanics & Industry, 17 (2016), 4, pp. 412-page 1 - 412-page 13
PDF VERSION [DOWNLOAD]
The school of the turbulent swirling flow at the Faculty of Mechanical Engineering University of Belgrade

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence