1. JEECS
  2. Всі випуски
  3. Випуск 5, Номер 2, 2019
  4. Математичні моделі дросельних елементів газогідродинамічних вимірювальних перетворювачів

Математичні моделі дросельних елементів газогідродинамічних вимірювальних перетворювачів

JEECS.
2019;
Випуск 5, Номер 2
: с. 94 – 107
https://doi.org/10.23939/jeecs2019.02.094
Надіслано: Лютий 01, 2019
Переглянуто: Квітень 02, 2019
Прийнято: Серпень 27, 2019

Y. Pistun, H. Matiko, H. Krykh. Mathematical models of throttle elements of gas-hydrodynamic measuring transducers. Energy Engineering and Control Systems, 2019, Vol. 5, No. 2, pp. 94 – 107. https://doi.org/10.23939/jeecs2019.02.094

Автори:
  1. Євген Пістун
  2. Галина Матіко
  3. Ганна Крих
1
Національний університет «Львівська політехніка»
2
Національний університет «Львівська політехніка»
3
Національний університет «Львівська політехніка»

В статті наведені витратні характеристики дросельних елементів, які застосовують у вимірювальних схемах перетворювачів параметрів плинних середовищ. Огляд включає широке коло досліджень характеристик нестискуваних та стискуваних, ньютонівських та неньютонівських середовищ в умовах ламінарного, перехідного та турбулентного режиму руху в каналах різного поперечного перерізу. Розглянуто рівняння, що застосовуються для макроскопічних потоків. Наведено теоретичні рівняння для розрахунку перепаду тиску під час руху середовищ у мікроканалах та зазначено умови та діапазон їх застосування. Розглянуто експериментальні результати дослідження коефіцієнтів тертя для стискуваних і нестискуваних середовищ в мікроканалах різних розмірів та форми, з гладкими і шорсткими поверхнями. Отримані результати можна застосовувати для комп’ютерного дослідження статичних і метрологічних характеристик газогідродинамічних вимірювальних перетворювачів конкретних фізико-механічних параметрів.

витратна характеристика
капілярна трубка
пристрій звуження
мікроканал
вимірювальний перетворювач
фізико-механічні параметри
  1. Profos, P., Pfeifer, T. (1994) Handbuch der Industriellen Meßtechnik. Wissenschaftsverlag, Oldenbourg.
  2. Webster, J., Eren, H. (2014) Measurement, Instrumentation, and Sensors Handbook: Spatial, Mechanical, Thermal, and Radiation Measurement, Second Edition, CRC Press Reference.
  3. Pistun, Ye. (1985) Theoretical Foundations for Constructing and Calculating Gas-Hydrodynamic Throttle Measuring Transducers. Abstracts of the XV All-Union Conference “Pnevmoavtomatika”, P.1, Lvov, 104–105. (in Russian)
  4. Pistun, Ye., Leskiv, H. (2002) Gas-hydrodynamic Measuring Transducers Built on Complex Throttle Elements. Proc. of Lviv Polytechnic National University: Heat Power Engineering. Environmental Engineering. Automation, 460, 81–88. (in Ukrainian)
  5. Pistun, Ye., Krykh, H., Leskiv, H. (2003) Modeling of Gas-hydrodynamic Measuring Transducers Built on Bridge Throttle Schemes with Constant Flowrate. Scientific and technical journal “Methods and instruments of quality control”, 10, 87–89. (in Ukrainian)
  6. Pistun, Ye., Matiko, H., Krykh, H., Matiko, F. (2018) Structural Modeling of Throttle Diagrams for Measuring Fluid Parameters. Metrology аnd Measurement Systems. 25(4), 659–673. DOI: 10.24425/mms.2018.124884
  7. Pistun E. P., Stasiuk I. D., Tepliukh Z. M. (1985) Investigation of Flowrate Curves of Capillary Elements of Measurement Instruments // Control and Measurement Instrumentation. 38, 44–46. (in Russian)
  8. Pistun, Ye., Matiko, H., Krykh, H. (2016) Modelling of Measuring Transducers Schemes Using Set Theory. Metrology and instruments, 3, 53–61. (in Ukrainian)
  9. Pistun, Ye., Matiko, H., Krykh, H., Matiko, F. (2017) Synthesizing the Schemes of Multifunctional Measuring Transducers of the Fluid Parameters. Eastern-European Journal of Enterprise Technologies, 6, 5(90), 13–22. https://doi.org/10.15587/1729-4061.2017.114110
  10. Poling, B., Prausnitz, J., O' Connell, J. (2000) The Properties of Gases and Liquids. McGraw-Hill Education.
  11. Zalmanzon, L. (1973) Aero-Hydrodynamic Methods for Measuring the Input Parameters of Automatic Systems. Science, Moscow. (in Russian)
  12. Ibragimov, I., Farzane, N., Ilyasov, L. (1985) Elements and Systems of Pneumatic Automation. Higher school, Moscow. (in Russian)
  13. Nagornyi, V. (2014) Means of Automation of Hydraulic and Pneumatic Systems. Tutorial. Publishing house “Lan”. (in Russian)
  14. Kremlevskyi, P. (2002) Flowmeters and Meters of Substances. Publishing House “Polytechnic”. (in Russian)
  15. Kabza, Z. (1981) Mathematical Modeling of Flowmeters with Constricting Devices. Mechanical Engineering, Leningrad. (in Russian)
  16. ISO 5167-1:2003. Measurement of Fluid Flow by Means of Pressure Differential Devices Inserted in Circular Cross-Section Conduits Running Full – Part 1: General Principles and Requirements.
  17. Pistun, Ye., Lesovoi, L. (2006) Standardization of Pressure Differential Flowmeters. CJSC "Institute of Energy Audit and Energy Resources", Lviv. (in Ukrainian)
  18. Pistun, Ye., Tepliukh, Z., Stasiuk, I. (1986) Flow Characteristics of Gas-Dynamic Throttle Elements. In Book: Pneumatic and Hydraulic Devices and Control Systems. X International Conference “Jablonna”, Energoatomizdat, 31–34. (in Russian)
  19. Stasiuk, I. (2015) Gas Dynamical Capillary Flowmeters of Small and Micro Flowrates of Gases, Energy Engineering and Control Systems, 1 (2), 117–126. https://doi.org/10.23939/jeecs2015.02.117
  20. Tepliukh, Z., Pistun, Ye. (1978) Using Various Functional Dependencies to Describe Flow Characteristics of Turbulent Throttles, Measurement Techniques, 2, 231–234. (Translated from Izmeritel'naya Tekhnika, No. 2, pp. 48–50 by Plenum Publishing Corporation, February, 1977.)
  21. Gornstein, B. (1979) Determining of Gas Flow Through a Capillary, Metrology, 1, 66–74. (in Russian)
  22. Walicka, A. (2018) Flows of Newtonian and Power-Law Fluids in Symmetrically Corrugated Capillary Fissures and Tubes. Int. J. of Applied Mechanics and Engineering, 23 (1), 187–211. https://doi.org/10.1515/ijame-2018-0011
  23. Steffе, J. (1996) Rheological Methods in Food Process Engineering, USA, Freeman Press.
  24. Krykh, H. (2008) Mathematical Models of Throttle Elements of Hydrodynamic Measuring Transducers of Non-Newtonian Liquid Parameters. Proc. of Lviv Polytechnic National University: Heat Power Engineering. Environmental Engineering. Automation, 617, 122–129. (in Ukrainian)
  25. Venerus, D. (2006) Laminar Capillary Flow of Compressible Viscous Fluids. Journal Fluid Mechanics, 555, 59–80. https://doi.org/10.1017/S0022112006008755
  26. Malkin, A., Isayev, A. (2017) Rheology: Concepts, Methods and Applications. Chemical Technology Publishing House.
  27. Drevetskyi, V. (2012) Mathematical Models of Throttle Transducers for Hydrodynamic Measuring Devices of Viscosity and Density of Liquids. Methods and Instruments of Quality Control, 29, 38–46. (in Ukrainian)
  28. Karniadakis, G., Beskok, A., Aluru, N. (2002) Microflows. Fundamentals and Simulation. https://doi.org/10.1115/1.1483361
  29. Sharp, K., Adrian, R., Santiago, J., Molho, J. (2005) MEMS: Background and Fundamentals. Chapter 10: Liquid Flows in Microchannels, 10-1–10-45.
  30. Cao, B., Chen, G., Li, Y., Yuan, Q. (2006) Numerical Analysis of Isothermal Gaseous Flows in Microchannel. Chemical Engineering Technology, 29 (1), 66–71. https://doi.org/10.1002/ceat.200407079
  31. Hetsroni, G., Mosyak, A., Pogrebnyak, E., Yarin, L. (2005) Fluid Flow in Micro-Channels International. Journal of Heat and Mass Transfer, 48, 1982–1998. https://doi.org/10.1016/j.ijheatmasstransfer.2004.12.019
  32. Guangwen, Y., Yuan , Ch. (2014) Effect of Viscosity on the Hydrodynamics of Liquid Processes in Microchannels. Chemical Engineering Technology, 37 (3), 427–434. https://doi.org/10.1002/ceat.201300468
  33. Bucci, A., Celata, G., Cumo, M., Serra, E., Zummo, G. (2003) Water Single-Phase Fluid Flow and Heat Transfer in Capillary Tubes. Conference ASME 2003, 1st International Conference on Microchannels and Minichannels, 319–326. https://doi.org/10.1115/ICMM2003-1037
  34. Kim, M., Araki T., Inaoka, K., Suzuki, K. (2000) Gas Flow Characteristics in Microtubes. JSME International Journal Series B, 43 (4),634–639. https://doi.org/10.1299/jsmeb.43.634
  35. Tang, G., Li, Zh., He, Y., Tao, W. (2007) Experimental Study of Compressibility, Roughness and Rarefaction Influences on Microchannel Flow. International Journal of Heat and Mass Transfer, 50, 2282–2295. https://doi.org/10.1016/j.ijheatmasstransfer.2006.10.034
  36. Taliadoroua, E., Georgioua, G., Moulitsas, I. (2009) Weakly Compressible Poiseuille Flows of a Herschel–Bulkley Fluid. Journal Non-Newtonian Fluid Mechanics, 158, 162–169. https://doi.org/10.1016/j.jnnfm.2008.11.010
  37. Liu, D., Garimella, S. (2004) Investigation of Liquid Flow in Microchannels. AIAA Journal of Thermophysics and Heat Transfer. 18 (1), 65–72. https://doi.org/10.2514/1.9124
  38. Obot, N. (2000) Toward a Better Understanding of Friction and Heat/Mass Transfer in Microchannels – A Literature Review. United Engineering Foundation Conference, Heat Transfer and Transport Phenomena in Microsystems, Oct. 15-20, 2000, Banff, Alberta, 1–8.
  39. Harley, J., Huang, Y., Bau, H., Zemel, J. (1994) Gas Flow in Micro-Channels. Journal of Fluid Mechanics, 284, 257–274. https://doi.org/10.1017/S0022112095000358
  40. Cai, Ch., Sun, Q., Boyd, I. (2007) Gas Flows in Microchannels and Microtubes. Fluid Mechanics, 589, 305–314. https://doi.org/10.1017/S0022112007008178
  41. Taliadoroua, E., Neophytou, M., Georgiou, G. (2009) Perturbation Solutions of Poiseuille Flows of Weakly Compressible Newtonian Liquids, Journal of Non-Newtonian Fluid Mechanics, 163, 1-3, 25–34. https://doi.org/10.1016/j.jnnfm.2009.06.003
  42. Teng, J., Chu, J., Yu, X., Dang, Th., Lee, M. et al. Fluid Dynamics, Computational Modeling and Applications. Chapter – Fluid Dynamics in Microchannels, 403–436.
  43. Zhang, X., Zhu, W., Cai, Q., Shi, Y. Wu, X. Jin, T. Yang, L., Song, H. (2018) Compressible Liquid Flow in Nano- or Micro-Sized Circular Tubes Considering Wall–Liquid Lifshitz–Van Der Waals Interaction. Physics of Fluids, 30, 062002. https://doi.org/10.1063/1.5023291
  44. Bahrami, M., Yovanovich, M. and Culham, J. (2005) Pressure Drop of Fully Developed, Laminar Flow in Rough Microtubes. Journal of Fluids Engineering, 128 (3), 632–637. https://doi.org/10.1115/1.2175171
  45. Silva, G., Leal, N. Semião, V. (2008) Effect of Wall Roughness on Fluid Flow Inside a Microchannel. 14th Int Symp on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, 07-10 July, 2008, 1–12.
  46. Celata, G., Cumo, M., McPhail, S., Tesfagabir, L., Zummo, G. (2007) Experimental Study on Compressible Flow in Microtubes. International Journal of Heat and Fluid Flow, 28, 28–36. https://doi.org/10.1016/j.ijheatfluidflow.2006.04.009
  47. Mortensen, N., Okkels, F., Bruus, H. (2005) Reexamination of Hagen–Poiseuille flow: Shape Dependence of the Hydraulic Resistance in Microchannels. Physical Review, E. Statistical Nonlinear and Soft Matter Physics, 71(5), 057301, 1–5. https://doi.org/10.1103/PhysRevE.71.057301
  48. Bulhakov, B., Kubrak, A. (1977) Pneumatic Automation, Tehnika, Kyjiv. (in Russian)
  49. RD 50-411-83. (1984) Methodical Instructions. Flowrate of Liquids and Gases. Technique for Measuring Using Special Constricting Devices. Publishing House of Standards, Moscow. (in Russian)
  50. Pistun, Ye., Teplykh, Z., Stasyuk, I. (1984) Watch Jewels in Gas Microflow Measurement, Measurement Techniques, 11, 929–931 (Translated from Izmeritel'naya Tekhniya, No. 11, pp. 36–38 by Plenum Publishing Corporation, November, 1983.) https://doi.org/10.1007/BF00827554