مطالعۀ جریان آشفتۀ شتاب‌دار درون لوله با استفاده از مدل‌های آشفتگی مختلف

نوع مقاله : مقاله پژوهشی

نویسندگان

بیرجند

چکیده

در پژوهش حاضر، جریان آشفتۀ شتاب‌دار خطی در یک لوله برای حوزۀ متغیر از اعداد رینولدز، به‌وسیلۀ پنج مدل مرسوم جریان آشفته شبیه سازی می شود. مدل های آشفتگی موردنظر، مدل جبری بالدوین-لومکس (BL)، مدل یک معادله ای اِسپالارت-آلماراس (SA)، مدلk-ω، مدلk-ε با تصحیح دیوارۀ لام- برِمهورست و مدل k-ε-v2 می باشند. هدف، مطالعۀ دقیق تر جریان و بررسی کارایی و قابلیت مدل‌های مذکور در پیش‌بینی تنش برشی دیواره، تنش رینولدز، لزجت آشفتگی، تأخیر زمانی در پاسخ و سرعت متوسط می باشد. هم‌چنین تغییر عواملی نظیر قطر لوله، نوع سیال، رینولدز اولیۀ شتاب و نرخ شتاب دهی و تأثیر آن بر پارامترهای فوق به‌دقت مورد بررسی قرار می گیرد. به‌منظور راستی‌آزمایی، نتایج حاصل از مدل های آشفتگی با نتایج تجربی و عددی (مدل سازی آشفتگی و شبیه سازی گردابه های بزرگ) دیگر محققان مقایسه گردیده است. نتایج نشان از دقت مطلوب نتایج حاصل از مدل سازی یک‌بعدی جریان آشفتۀ شتاب دار در مقایسه با نتایج شبیه‌سازی گردابه‌های بزرگ (سه‌بعدی) دارد. هم‌چنین تأخیر در پاسخ آشفتۀ پیش بینی شده به‌وسیلۀ مدل ها (به‌جز مدلBL )، تطابق نسبتاً خوبی با مقادیر آزمایشگاهی نشان می دهد. مقایسۀ توزیع سرعت متوسط، انرژی جنبشی آشفته و لزجت آشفتگی نشان از دقت بهتر مدل
k-ε-v2 نسبت به سایر مدل ها دارد.

کلیدواژه‌ها


عنوان مقاله [English]

Accelerated Turbulent Pipe Flow Study using Various Turbulence Models

نویسندگان [English]

  • Mohammad Afsari
  • Majid Malek Jafarian
Birjand
چکیده [English]

In this paper, linear accelerated turbulent pipe flow has been simulated at various Reynolds numbers using five common turbulence models. The models considered are the Baldwin-Lomax algebraic model, the Spalart-Allmaras one-equation model, the κ-ε model with wall correction of Lam and Bremhorst, the κ-ω model and the κ-ε-ν2 model. The goal is to evaluate the performance and precision of these models for prediction of the wall shear stress, Reynolds stress, turbulence viscosity, delay time in response and mean velocity. Factors such as changes in pipe diameter, fluid type, initial Reynolds number of acceleration and rate of acceleration and its effect on the above parameters has examined carefully. In order to verify the results, the experimental and numerical results (turbulence modeling and Large Eddy Simulation) of other researchers have been compared with the present results. The results show the desired accuracy of the one-dimensional modeling of accelerated turbulent pipe flow in comparison with Large Eddy Simulation results (three-dimensional). The response of delay time, simulated by the models (except BL model) shows relatively good agreement with experimental data. Comparing the distribution of mean velocity, turbulent kinetic energy and turbulent viscosity shows κ-ε-ν2 model leads to a better accuracy compared with the other models.

کلیدواژه‌ها [English]

  • Accelerated turbulent flow
  • Delay time
  • Turbulence shear stress
  • Turbulence model
1. He, S. and Jackson, J.D., "A Study of Turbulence under Conditions of Transient Flow in a Pipe",
J. Fluid Mech, Vol. 408, pp. 1–38, (2000).
2. Mizushina, T., Maruyama, T. and Hirasawa, H., "Structure of the Trbulence in Pulsating Pipe Flows", J. Chem. Engng Japan, Vol. 8, pp. 210-216, (1975).
3. Shemer, L., Wygnanski, I. and Kit, E., "Pulsating Flow in a Pipe", J. Fluid Mech, Vol. 153, pp.
313-337, (1985).
4. Burnel, S., Raelison, J.C. and Thomas, J.M., "Radial Distribution of the Reynolds Stress in a Turbulent Pulsating Flow in a Pipe", In Engineering Turbulence Modeling and Experiments (ed. W., Rodi and Y., Ganic, pp. 419-427, (1990).
5. Burnel, S., Raelison, J.C. and Thomas, J.M., "Radial Distribution of the Reynolds Stress in a Turbulent Pulsating Flow in a Pipe", Euromech Colloquium 272 Response of Shear Flows to Imposed Unsteadiness, Aussois, 15-17 January, France, (1991).
6. Tardu, S.F., Binder G. and Blackwelder, R.F., "Turbulent Channel Flow with Large Amplitude",
J. Fluid Mech, Vol. 269, pp. 109-151, (1994).
7. Shemer, L. and Wygnanski, I., "On the Pulsating Flow in Pipe", Third Symp. on Turbulent Shear Flows, University of California, Davis, Vol. 8, pp. 13-18, (1981)
8. Cook, W.J., Murphy, J.D. and Owen, F.K., "An Experimental and Computational Study of Turbulent Boundary Layers in Oscillating Flows", Fifth Symp. on Turbulent Shear Flows, Cornell University, Ithaca , New York, August 7-9, (1985)
9. Kirmse, R. E., "Investigations of Pulsating Turbulent Pipe Flow", Trans. ASME, Vol. 101, pp.
436-442, (1979).
10. Blondeaux, P. and Colombini, M. "Pulsating Turbulent Pipe Flow", Fifth Symp. on Turbulent Shear Flows, Cornell University, Ithaca, New York, (1985)
11. Scotti, A. and Piomelli, U., "Turbulence Models in Pulsating Flows", AIAA J, Vol. 40, pp. 537–540, (2002).
12. Scotti, A. and Piomelli, U., "Numerical Simulation of pulsating Turbulent Channel Flows", Physics of Fluids, Vol. 13, pp. 1367-1384, (2001).
13. Kataoka, K., Kawabata, T. and Miki, K., "The Start-up Response of Pipe Flow to a Step Change in Flow Rate", J. Chem. Engng Japan, Vol. 8, pp. 266-271, (1975).
14. Maruyama, T., Kuribayashi, T. and Mizushina, T., "The Structure of the Turbulence in Transient Pipe Flows", J. Chem. Engng Japan,Vol. 9, pp. 431-439, (1976)
15. Kurokawa, J. and Morikawa, M., "Accelerated and Decelerated Flows in a Circular Pipe (1st report, velocity profiles and friction coefficient)", Bull. JSME, Vol. 29, pp. 758-765, (1986).
16. Lefebvre, P. J., "Characterization of Accelerating Pipe Flow", PhD thesis, University of Rhode Island, (1987).
17. Greenblatt, D. and Moss, E., "Rapid Temporal Acceleration of a Turbulent Pipe Flow", J. Fluid Mech., Vol. 514, pp. 65-75, (2004).
18. Gundogdu, M. Y., and Carpinlioglu, M. O., "Present State of Art on Pulsatile Flow Theory (Part 1: Laminar and Transitional Flow Regimes", Japanese Society of Mechanical Engineering International Jornal, Series B, Vol. 42, pp. 384-397, (1999).
19. Gundogdu, M. Y., and Carpinlioglu, M. O., "Present State of Art on Pulsatile Flow Theory (Part 2: Laminar and Transitional Flow Regimes)", Japanese Society of Mechanical Engineering International Jornal, Series B, Vol. 42, pp. 398-410, (1999).
20. Hsu, C.T., Lu, X., and Kwan, M.K., "LES and RANS Studies of Oscillating Flows over Flat Plate", American Society of Chemical Engineering Journal of Engineering Mechanics, Vol. 126, pp.
186-193, (2000).
21. Chung, Y.M. and Malek-Jafarian, M., "Direct Numerical Simulation of Unsteady Decelerating Flows", Fourth International Symposium on Turbulence and Shear Flow Phenomena (TSFP-4), Williamsburg, USA, 27-29 June (2005).
22. Yorke, C.P. and Coleman, G.N., "Assessment of Common Turbulence Models for an Idealized Adverse Pressure Gradient Flow", European Journal of Fluid Mechanics B/Fluids,Vol. 23, pp.
319-337, (2004).
23. He, S., Ariyaratne, C. and Vardy, A.E., "A computational study of wall friction and turbulence dynamics in accelerating pipe flows", Computers and Fluids, Vol. 37, pp.674-689, (2008).
24. Khaleghi, A., Pasandideh-Frad, M., Jafarian, M.M., and Chung, Y.M., "Assessment of common turbulence models under conditions of temporal acceleration in a pipe", Journal of Applied Fluid Mechanics, Vol. 4, pp. 25–33, (2009).
25. Jung, S.Y. and Chung, Y.M., "Large-eddy simulation of accelerated turbulent flow in a circular pipe", International Journal of Heat And Fluid Flow, Vol. 33, pp. 1–8, (2012).
26. Moser, R.D., Kim, J. and Mansour, N.M., "Direct Numerical Simulation of Turbulent Channel Flows up to ", Physics of Fluids, Vol. 11, pp. 943-945, (1999).
27. Baldwin, B.S., Lomax, H., "Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flows", AIAA Paper, pp. 78-257, (1978).
28. Spalart P.R. and Allmaras S.R., "A One-Equation Turbulence Model for Aerodynamic Flows", La Recherche Aerospatiale, Vol. 1, pp. 5-21, (1994)
29. Lam, C.K.G. and Bremhorst K.A., "Modified Form of the Model for Predicting Wall Turbulence", Journal of Fluids Engineering, Vol. 103, pp. 456-460, (1981).
30. Wilcox, D.C., "Reassessment of the Scale-Determining Equation for Advanced Turbulence Models", AIAA Journal, Vol. 26, pp. 1299-1310, (1988).
31. Durbin, P.A., "Separated Flow Computations with the Model", AIAA J, Vol. 33, pp.
659-664, (1995).
32. Cebeci, T. and Smith, A.M.O., "Analysis of Turbulent Boundary Layers", Academic Press, Cambridge, Massachusetts, (1974).
33. Wilcox, D.C., "Turbulence Modeling for CFD", Second edition, DCW Industries, New York, (1998).
34. Menter, F.R., "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications", AIAA J, Vol. 32, pp. 1598-1605, (1994).
CAPTCHA Image