محاسبه سرعت جابجایی گردابه‌های جریان آشفته در یک مجرا به کمک انتشار امواج صوتی

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشکده مهندسی مکانیک، دانشگاه صنعتی شریف، تهران، ایران

چکیده

در سال‌های اخیر استفاده از صدای جریان آشفته در جریان‌های داخلی به‌عنوان یک روش غیر تهاجمی اندازه‌گیری سرعت جریان سیال بیش از پیش توجه مهندسان را به خود جذب کرده است. چالش اصلی در این روش ایجاد ارتباط معنی‌دار بین خصوصیات جریان آشفته و صدای دریافتی بر روی دیواره است. مقاله حاضر به مطالعه جریان‌ آشفته در یک مجرای مستقیم با مقطع مستطیلی شکل می‌پردازد تا ارتباط بین ساختارهای جریان آشفته و سیگنال‌های صوتی ثبت شده بر دیواره‌های مجرا را تشریح نماید. عدد رینولدز اصطکاکی جریان  برابر 395  بوده و تحلیل جریان با استفاده از روش شبیه‌سازی گردابه‌های بزرگ1 برای یک مجرای سه بعدی انجام می‌شود. بعد از حل میدان جریان و به‌دست آوردن منابع تراکم‌ناپذیر، میدان آکوستیک نیز با استفاده از یک مدل ترکیبی آکوستیک بدست می‌آید. تحلیل‌ها نشان داد که در اعداد ماخ پایین، نوسانات فشار غیرقابل تراکم که به‌عنوان شبه‌صدا شناخته می‌شوند، در طیف صدا غالب هستند. این نوسانات از جابجایی محلی گردابه‌های آشفته بر روی دیواره‌های مجرا ناشی می‌شوند و اثرات قابل توجهی از خود بر روی دیوار به‌جای می‌گذارند. این اثرات قابل اندازه‌گیری است و با ردیابی آن‌ها دیواره مجرا، می‌توان سرعت‌های جابجایی ساختارهای جریان در مقیاس‌های طولی مختلف را تعیین کرد. برای ساختارهای بزرگ و غالب از نظر انرژی (مقیاس‌های طولی انتگرالی)، سرعت‌های انتقال در بازه‌ای بین 6/0 تا 8/0 سرعت متوسط کانال هستند. همچنین مشخص شد که با افزایش سرعت متوسط جریان، دقت سرعت اندازه‌گیری شده از این روش نیز بالاتر می‌باشد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Determination of convective velocity of eddies in turbulent channel flows using acoustic wave propagation

نویسندگان [English]

  • Mahdi Rasmi
  • Mehrdad Taghizade Manzari
Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
چکیده [English]

In recent years, the use of turbulent flow noise in internal flows, as a non-invasive method for measuring fluid flow velocity, has increasingly attracted the attention of engineers. The main challenge in this method is establishing a meaningful relationship between the characteristics of turbulent flow and the sound signals received on the wall. This paper investigates turbulent flow in a straight rectangular channel to explain the connection between turbulent flow structures and the acoustic signals recorded on the channel walls. The friction Reynolds number of the flow is 395, and the flow analysis is carried out using the Large Eddy Simulation (LES) method for a three-dimensional channel. After solving the flow field and obtaining the incompressible sources, the acoustic field is also derived using a hybrid acoustic model. Analyses showed that, at low Mach numbers, incompressible pressure fluctuations, known as pseudo-sound, dominate the sound spectrum. These fluctuations originate from the local convection of turbulent vortices on the channel walls and leave significant effects on the wall surface. These effects are measurable, and by tracking them along the channel walls, it is possible to determine the convection velocities of flow structures at different length scales. For large, energy-dominant structures (integral length scales), the convection velocities range between 0.6 to 0.8 times the mean channel velocity. It was also found that, with increasing the mean flow velocity, the accuracy of the velocity measurement obtained from this method is improved

کلیدواژه‌ها [English]

  • Channel flow
  • large eddy simulation (LES)
  • pseudo-sound
  • integral vortices
  • convection velocity
  • acoustic field

مراجع

  1. Baker, R.C., Flow Measurement Handbook: Industrial Designs, Operating Principles, Performance, and Applications, Cambridge University Press, 2016..DOI:10.1017/CBO9780511471100.
  2. Loose, D.H., and Gysling, D.L., SONAR-based, Clamp-on Flow Meter for Gas and Liquid Applications. in ISA EXPO, Houston, USA, Wallingford, 2003.
  3. Bonness, W.K., Capone, D.K., and Hambric, S.A., Low-wavenumber turbulent boundary layer wall-pressure measurements from vibration data on a cylinder in pipe flow.‎ Journal of Sound and Vibration. 2010; 329: 4166–4180. DOI:10.1016/j.jsv.2010.04.010.
  4. Moon, Y.J., Sound of fluids at low Mach numbers. European Journal of Mechanics B/Fluids. 2013; 40: 50–63. DOI:10.1016/j.euromechflu.2013.02.002.
  5. Chapelier, J.B., and Scalo, C., A Coherent vorticity preserving eddy viscosity correction for Large-Eddy Simulation. Journal of Computational Physics. 2017; 359: 164–182. DOI:10.1016/j.jcp.2018.01.012.
  6. Gloerfelt, X., and Berland, J., Turbulent Boundary Layer Noise: Direct Radiation at Mach Number 0.5‎. Journal of Fluid Mechanics, 2013; 723: 318-351. DOI: 10.1017/jfm.2013.134.
  7. Ewert, R., and Schröder, W., Acoustic perturbation equations based on flow decomposition via source filtering. Journal of Computational Physics. 2003; 188: 365-398. DOI: 10.1016/S0021-9991(03)00168-2
  8. Seo, H.J., and Moon, Y.J., Linearized perturbed compressible equations for low Mach number aeroacoustics. Journal of Computational Physics. 2006; 218: 702-719. DOI: 10.1016/j.jcp.2006.03.003
  9. Bailly, C., Bogey, C., and Gloerfelt, X., Some useful hybrid approaches for predicting aerodynamic noise. Comptes Rendus. Mcanique. 2005; 333(9): 666–675. DOI: 10.1016/j.crme.2005.07.006.
  10. Moon, Y.J., Seo, J.H., Bae, Y.M., Roger, M., and Becker, S., A hybrid prediction method for low-subsonic turbulent flow noise‎. Computers & Fluids, 2010; 39(7): 1125–1135. DOI: 10.1016/j.compfluid.2010.02.005.
  11. [Kempf, D., and Claus-Dieter, M., Zonal direct-hybrid aeroacoustic simulation of trailing edge noise using a high-order discontinuous galerkin spectral element method‎. Acta Acust. 2022; 6: 14-53. DOI: 10.1051/aacus/2022030.
  12. Tautz, M., Besserer, B., and Becker, S., Source Formulations and Boundary Treatments for Ligthhill's Analogy Applied to Incompressible Flows‎. AIAA JOURNAL. 2018; 56: 1-13 DOI: 10.2514/1.J056559.
  13. Vanherpe, F., Baresh, D., Lafon, P., and Bordji, M., Wavenumber-Frequency Analysis of the Wall Pressure Fluctuations in the Wake of a Car Side Mirror‎. in 17th AIAA/CEAS Aeroacoustics Conference, Portland, Oregon, 2011.DOI:10.3390/app7111137.
  14. Hu, Z., Morfey, C.L., and Sandham, N.D., Sound radiation in turbulent channel flows. Journal of Fluid Mechanics. 2003; 475: 269-302.DOI:10.1017/S002211200200277X.
  15. Hwang, S., and Moon, Y.J., On the computation of low-subsonic turbulent pipe flow noise with a hybrid LES/LPCE method‎. International Journal of Aeronautical and Space Sciences. 2017; 18: 48-55. DOI: 10.5139/IJASS.2017.18.1.48.
  16. Johannes, J., and Steiner, H., A Priori Analysis of Acoustic Source Terms from Large-Eddy Simulation in Turbulent Pipe Flow. Proceedings of the 11th International Styrian Noise, Vibration & Harshness Congress: The European Automotive Noise Conference, 2020 November 3-5, Graz, Austria. 2020. DOI:10.4271/2020-01-1518.
  17. Arguillat, B., and Ricot, B., Measured wavenumber: Frequency spectrum associated with acoustic and aerodynamic wall pressure fluctuations. The journal of acoustical society of america. 2010; 128: 1647-1655. DOI:10.1121/1.3478780.
  18. Kim, Y-B., and Kim, Y-H., A measurement method of the flow rate in a pipe using a microphone array.‎ ‎The Journal of the Acoustical Society of America. 2002; 112: 856-865. DOI: 10.1121/1.1496764.
  19. Lannes, D.P., Gama, A.L., and Bento, T.F.B., Measurement of flow rate using straight pipes and pipe bends with integrated piezoelectric sensors. Flow Measurement and Instrumentation. 2018; 60:  208-216. DOI:10.1016/j.flowmeasinst.2018.03.001.
  20. Kim, Y-K., and Kim, Y-H., A three accelerometer method for the measurement of flow rate in pipe. The Journal of the Acoustical Society of America. 1996; 717: 717–726. DOI: 10.1121/1.416211.
  21. Evans, R.P., Blotter, J.D., and Stephens, A.G., Flow Rate Measurements Using Flow Induced Pipe Vibration‎. Journal of Fluids Engineering. 2004; 126: 280-285. DOI: 10.1115/1.1667882.
  22. Dinardo, G., Fabbiano, L., and Vacca, G., Fluid Flow Rate Estimation using Acceleration Sensors. Proceedings of the in Seventh International Conference on Sensing Technology, 2013 December 03-05, Wellington, New Zealand. DOI:10.1109/ICSensT.2013.6727646.
  23. Pittard, M.T., Evans, R.P., Maynes, R.D., and Blotter, J.D., Experimental and numerical investigation of turbulent flow induced pipe vibration in fully developed flow. Rev. Sci. Instrum, 2004; 75: 2393–2401, 2004. DOI: 10.1063/1.1763256.
  24. Choi, H., and Moin, P., On the space‐time characteristics of wall‐pressure fluctuations. Physics of Fluids A: Fluid Dynamics. 1990; 2(8): 1450–1460. DOI: 10.1063/1.857593.
  25. Pei, R., Jia, D., Zhao, K., Zang, Z., Liu, B., Lv, Y., and Sun, Y., Sound velocity measurement of pipeline fluids based on wavenumber-frequency spectrum‎. Flow Measurement and Instrumentation. 2025; 102: 102789. DOI: 10.1016/j.flowmeasinst.2024.102789
  26. Yang B., and Yang, Z., On the wavenumber–frequency spectrum of the wall pressure fluctuations in turbulent channel flow‎. Journal of Fluid Mechanics. 2022; 937: A39, 2022. DOI: 10.1017/jfm.2022.137.
  27. Holgate, J., Skillen, A., Craft, T., and Revell, A., A Review of Embedded Large Eddy Simulation for Internal Flows‎. Computational Methods in Engineering. 2019; 26: 865–882. DOI: 10.1007/s11831-018-9272-5.
  28. Maurerlehner, P., Schoder, S., Tieber, J., Freidhager, C., Steiner, H., Brenn, G., Schäfer, K.-H., Ennemoser, A., and Kaltenbacher, M., Aeroacoustic formulations for confined flows based on incompressible flow data. Acta Acustica. 2022; 6: 45. DOI: 10.1051/aacus/2022041.
  29. Lasota, M., Šidlof, P., Kaltenbacher, M., and Schoder, S., Impact of the Sub-Grid Scale Turbulence Model in Aeroacoustic Simulation of Human Voice. Appl. Sci. 2021; 11(4): 1970. DOI: 10.3390/app11041970.
  30. Kim, J., Moin, P., and Moser, R.D., Turbulence statistics in fully developed channel flow at low Reynolds number‎.‎ Journal of Fluid Mechanics. 1987; 177: 133-166. .DOI: 10.1017/S0022112087000892.
  31. XIE, B., Gao, F., Boudet, J., and Shao, L., Lu, L., Improved vortex method for large eddy simulation inflow generation. Computers and Fluids. 2018; 168: 87-100. DOI: 10.1016/j.compfluid.2018.03.069.
  32. El Khoury, G.K., Schlatter, P., Noorani, A., Fischer, P.F., Brethouwer, G., and Johansson, A.V., Direct Numerical Simulation of Turbulent Pipe Flow at Moderately High Reynolds Numbers. Flow Turbulence and Combustion, 2013; 91: 475–495. DOI: 10.1007/s10494-013-9482-8.
  33. Wu, T., and He, G., Space-time energy spectra in turbulent shear flows‎ ‎, Physical review fluids, 2021, 6: 100504. DOI: 10.1103/PhysRevFluids.6.100504.

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