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Analysis on the Modification of Near-wall Turbulent Characteristics of Temperature Field in a Channel imposed with Linearly Increasing Wall Disturbance

선형적으로 증가하는 벽면교란이 벽 근처 난류 온도장의 특성 변화에 미치는 영향 해석

  • Park, Soo Hyung (Department of Aerospace Information Engineering, Konkuk University) ;
  • Byun, Yung-Hwan (Department of Aerospace Information Engineering, Konkuk University) ;
  • Na, Yang (Department of Mechanical Engineering, Konkuk University)
  • Received : 2013.05.23
  • Accepted : 2013.09.10
  • Published : 2013.10.01

Abstract

Large eddy simulation was performed to investigate the effect of linearly increasing wall disturbance on the modification of turbulent characteristics of temperature field in the vicinity of the wall. It was noted that temperature variance increased monotonically whereas temperature dissipation decreased significantly, resulting in a noticeable reduction in both time and length-scales. A sudden drop in turbulent Prandtl number down to around 0.25 in the near-wall region indicated that the similarity between velocity and temperature fields decreases near the wall as a result of linear wall disturbance.

난류 경계층이 형성되어 있는 채널 벽면에 주유동방향을 따라 선형적으로 증가하는 수직방향의 운동량 교란을 도입한 후 발생되는 난류 온도장의 특성 변화를 LES 기법을 사용하여 분석하여 보았다. 벽면교란이 부과된 후, temperature variance의 국부 최대값은 점진적으로 증가하나, 온도 소산량은 급격히 줄어들게 되면서 온도장의 시간스케일 및 Taylor micro length로 판단한 길이스케일이 모두 감소하는 것을 확인하였다. 또한 난류 Prandtl수가 벽면 근방에서 0.25정도까지 급격히 감소되었는데, 이는 벽면에 작용된 운동량 교란에 대한 속도장 및 온도장의 역학적 반응이 전반적으로 다르다는 것을 의미하며, 따라서 속도장과 온도장의 상사성이 급격히 감소된다는 것을 알 수 있었다.

Keywords

References

  1. Launder, B.E., Heat and Mass Transport in Turbulence, Springer, Berlin, pp. 231-242, 1978.
  2. Nagano, Y. and Kim, C., "A Two-equation Model for Heat Transport in Wall Turbulence Shear Flow," ASME Journal of Heat Transfer, Vol. 100, pp. 583-589, 1988.
  3. Youssef, M.S., Nagano, Y. and Tagawa, M., "A Two-equation Heat Transfer Model for Predicting Turbulent Thermal Fields under Arbitrary Wall Thermal Conditions," International Journal of Heat and Mass Transfer, Vol. 35, No. 1, pp. 3095-3104, 1992. https://doi.org/10.1016/0017-9310(92)90329-Q
  4. Kim, J. and Moin, P., "Transport of Passive Scalars in a Turbulent Channel Flow," Turbulent Shear Flow, Vol. 6, pp. 85-96, 1989.
  5. Lyons, S.L., Hanratty, T.J. and McLaughlin, J.B., "Large-scale Computer Simulation of Fully Developed Turbulent Channel Flow with Heat Transfer," International Journal of Numerical Methods in Fluids, Vol. 13, pp. 999-1028, 1991. https://doi.org/10.1002/fld.1650130805
  6. Kasagi, N., Tomita, Y. and Kuroda, A., "Direct Numerical Simulation of Passive Scalar Field in a Turbulent Channel Flow," ASME Journal of Heat Transfer, Vol. 144, pp. 598-606, 1992.
  7. Kasagi, N. and Ohtsubo, Y., "Direct Numerical Simulation of Low Prandtl Number Thermal Field in a Turbulent Channel Flow," Turbulent Shear Flow, Vol. 8, pp. 97-119, 1993.
  8. Kawamura, H., Ohsaka, K., Abe, H. and Yamamoto, K., "DNS of Turbulent Heat Transfer in Channel Flow with Low to Medium-High Prandtl Number Fluid," International Journal of Heat and Fluid Flow, Vol. 19, pp. 482-491, 1998. https://doi.org/10.1016/S0142-727X(98)10026-7
  9. Na, Y., Papavassiliou, D.V. and Hanratty, T., "Use of Direct Numerical Simulation to Study the Effect of Prandtl Number on Temperature Fields," International Journal of Heat and Fluid Flow, Vol. 20, pp. 187-195, 1999. https://doi.org/10.1016/S0142-727X(99)00008-9
  10. Na, Y. and Hanratty, T.J., "Limiting Behavior of Turbulent Scalar Transport Close to a Wall," International Journal of Heat and Mass Transfer, Vol. 43, pp. 1749-1758, 2000. https://doi.org/10.1016/S0017-9310(99)00258-6
  11. Kong, H., Choi, H. and Lee, J.S., "Direct Numerical Simulation of Turbulent Thermal Boundary Layers," Physics of Fluids, Vol. 12, No. 10, pp. 2555-2568, 2000. https://doi.org/10.1063/1.1287912
  12. Tiselj, I., Bergant, R., Mavko, B., Bajsic, I. and Hetsroni, G., "DNS of Turbulent Heat Transfer in Channel Flow with Heat Conduction in the Solid Wall," ASME Journal of Heat Transfer, Vol. 123, pp. 849-857, 2001. https://doi.org/10.1115/1.1389060
  13. Tennekes, H. and Lumley, J.L., A First Course in Turbulence, The MIT Press, England, p. 286, 1972.
  14. Zang, Y. Street, R.L. and Koseff, J.R., "A Dynamic Mixed Subgrid-scale Model and its Application to Turbulent Recirculating Flows," Physics of Fluids A, Vol. 5, No. 12, pp. 3186-3196, 1993. https://doi.org/10.1063/1.858675
  15. Vreman, B., Geurts, B. and Kuerten, H., "On the Formulation of the Dynamic Mixed Subgrid-Scale Model," Physics of Fluids, Vol. 6, No. 12, pp. 4057-4059, 1994. https://doi.org/10.1063/1.868333
  16. Salvetti, M.V. and Banergee, S., "A Priori Tests of a New Dynamic Subgrid-Scale Model for Finite Difference Large Eddy Simulations," Physics of Fluids, Vol. 7, No. 11, pp. 2831-2847, 1995. https://doi.org/10.1063/1.868779
  17. Dunlap, R., Blackner, A.M., Waugh, R.C., Brown, R.S. and Willoughby, P.G., "Internal Flow Field Studies in a Simulated Cylindrical Port Rocket Chamber," Journal of Propulsion, Vol. 6, No. 6, pp. 690-704, 1990. https://doi.org/10.2514/3.23274
  18. Apte, S. and Yang, V., "Unsteady Flow Evolution in Porous Chamger with Surface Mass Injection, Part 1: Free Oscillation," AIAA Journal, Vol. 39, No. 8, pp. 1577-1586, 2001. https://doi.org/10.2514/2.1483
  19. Na, Y, "Direct Numerical Simulation of Turbulent Scalar Field in a Channel with Wall Injection," Numerical Heat Transfer, Part A, Vol. 47, No. 2, pp. 165-181, 2005.
  20. Staab, P.L. and Kassoy, D.R., "Threedimensional Flow in a Cylinder with Sidewall Mass Addition," Physics of Fluids, Vol. 14, No. 9, pp. 3141-3159, 2002. https://doi.org/10.1063/1.1492283
  21. Na, Y. and Lee, C., "LES for Turbulent Channel Flow with Blowing Velocity," Journal of the Korean Society for Aeronautical and Space Sciences, Vol. 35, No. 8, pp. 699-705, 2007. https://doi.org/10.5139/JKSAS.2007.35.8.699
  22. Lee, C. and Na, Y., "Large Eddy Simulation of Flow Development in Chamber with Surface Mass Injection," Journal of Propulsion and Power, Vol. 25, No. 1, pp. 51-59, 2009. https://doi.org/10.2514/1.34980
  23. Na, Y., "Analysis on Turbulent Scalar Fields in a Channel with Wall Injection using LES Technique," Journal of the Korean Society of Propulsion Engineers, Vol. 13, No. 2, pp. 54-63, 2009.
  24. Lund, T., Wu, X. and Squires, K.D., "Generation of Turbulent Inflow Data for Spatially Developing Boundary Layer Simulation," Journal of Computational Physics, Vol. 140, No. 2, pp. 233-258, 1998. https://doi.org/10.1006/jcph.1998.5882
  25. Koo, W. and Lee, C., "The Visualization of Unstable Combustion in Hybrid Rocket," Journal of the Korean Society of Propulsion Engineers, Vol. 11, No. 4, pp. 46-51, 2007.
  26. Germano, M., Piomelli, U., Moin, P. and Cabot, W.., "A Dynamic Subgrid-Scale Eddy Viscosity Model," Physics of Fluids A, Vol. 3, pp. 1760-1765, 1991. https://doi.org/10.1063/1.857955
  27. Moin, P., Squires, K.D., Cabot, W. and Lee, S., "A Dynamic Subgrid-scale Model for Compressible Turbulence and Scalar Transport," Physics of Fluids, Vol. A3, pp. 2746, 1991
  28. El-Hardy, N.M., Zang, T.A. and Piomelli, U., "Dynamic Subgrid-scale Modelling for High-speed Transitional Boundary Layers," ASME FED, Vol. 162, p. 103, 1993.
  29. Lee, G. and Na, Y., "On the Large Eddy Simulation of Temperature Field using Dynamic Mixed Model in a Turbulent Channel," Transactions of the KSME B, Vol. 28, No. 10, pp. 1255-1263, 2004.
  30. Na, Y., "On the Large Eddy Simulation of Scalar Transport with Prandtl Number up to 10 Using Dynamic Mixed Model," Journal of Mechanical Science and Technology, Vol. 19, No. 3, pp. 913-923, 2005. https://doi.org/10.1007/BF02916140
  31. Bose, S.T. and Moin, P., "A Class of Dynamic Mixed Models for Explicitly Filtered LES," Annual Research Briefs, Center for Turbulence Research, 2010.
  32. Leonard, B.P., "A stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation," Computer Methods in Applied Mechanics and Engineering, Vol. 19, No. 1, pp. 59-98, 1979. https://doi.org/10.1016/0045-7825(79)90034-3
  33. Zhou, J., Meinhart, C.D., Balachandra, S. and Adrian, R.J., "Formation of Coherent Packets in Wall Turbulence," Self-Sustaining Mechanisms of Wall Turbulence, edited by R. L. Panton, Computational Mechanics Publications, Boston, MA, pp. 109-134, 1997.
  34. Kawamura, H., Abe, H. and Matsuo, Y., "DNS of Turbulent Heat Transfer in Channel Flow with respect to Reynolds and Prandtl Number Effects," International Journal of Heat and Fluid Flow, Vol. 20, pp. 196-207, 1999. https://doi.org/10.1016/S0142-727X(99)00014-4