DOI QR코드

DOI QR Code

Numerical Study of Density-stratified Flow Past Two 3D Hills - Aligned in Tandem -

두 개의 3차원 지형물 주위의 성층 유동 해석 - 주 유동방향으로 정렬된 경우 -

  • 최춘범 (인하대학교 대학원 기계공학과) ;
  • 양경수 (인하대학교 기계공학부)
  • Published : 2006.12.01

Abstract

In this paper a parametric study using an immersed boundary method has been carried out to investigate the effects of stable density stratification on the wakes past two identical three-dimensional hills aligned in tandem. The Reynolds number based on the uniform inlet velocity and twice the hill height was fixed at Re=300 while the Froude number based on the inlet velocity and the hill height was retained at Fr=0.2. Neutral flow without density stratification was also computed for comparison. Under a strong stratification, vertical motion of fluid particles over the three-dimensional hills is suppressed and the wake structures behind the hills become planar. Depending on the distance between the two hills, the flow pattern of each wake is significantly affected by the stratification. There is a critical hill distance at which flow characteristics drastically change. Qualitative and quantitative features of the wake interaction are reported.

Keywords

References

  1. Long, R. R., 1953, 'Some Aspects of the Flow of Stratified Fluids: I. A Theoretical Investigation,' Tellus, Vol. 5, pp. 42-58 https://doi.org/10.1111/j.2153-3490.1953.tb01035.x
  2. Sheppard, P. A., 1956, 'Airflow over Mountains,' Q. J. R. Met. Soc., Vol. 75, pp. 528-529 https://doi.org/10.1002/qj.49708235418
  3. Drazin, P. G., 1961, 'On the Steady Flow of a Fluid of Variable Density past an Obstacle,' Tellus, Vol. 13, pp.239-251 https://doi.org/10.1111/j.2153-3490.1961.tb00081.x
  4. Castro, I. P., Snyder, W. H. and Marsh, G. L., 1983, 'Stratified Flow over Three-Dimensional Ridges,' J. Fluid Mech., Vol. 135, pp. 261-282 https://doi.org/10.1017/S0022112083003079
  5. Vosper, S. B., Castro, I. P., Snyder, W. H. and Mobbs, S. D., 1999, 'Experimental Studies of Strongly Stratified Flow past Three-Dimensional Orography,' J. Fluid Mech., Vol. 390, pp. 223-249 https://doi.org/10.1017/S0022112099005133
  6. Vosper. S., 1996, 'Gravity-Wave Drag on Two Mountains,' Q. J. R. Meteorol. Soc., Vol. 22, pp. 993-999 https://doi.org/10.1002/qj.49712253211
  7. Gheusi, F., Stein, J. and Eiff, O. S., 2000, 'A Numerical Study of Three-Dimensional Orographic Gravity-Wave Breaking Observed in a Hydraulic Tank,' J. Fluid Mech., Vol. 410, pp. 67-99 https://doi.org/10.1017/S0022112099008009
  8. Mayr, G. J. and Gohm, A., 2000, '2D Airflow over a Double Bell-Shaped Mountain,' Meteorol. Atmos. Phys., Vol. 72, pp. 13-27 https://doi.org/10.1007/s007030050002
  9. Ding, L., Calhoun, R. J. and Street, R. L., 2002, 'Numerical Simulation of Strongly Stratified Flow over a Three-Dimensional HilI,' Boundary-layer Meteorol. Vol. 107, pp. 81-114 https://doi.org/10.1023/A:1021578315844
  10. Eiff, O. S. and Bonneton, P., 2000, 'Lee-Wave Breaking over Obstacles in Stratified Flow,' Physics of Fluids, Vol. 12, No.5, pp. 1703-1086 https://doi.org/10.1063/1.870362
  11. Hunt, J. C. R. and Snyder, W. H., 1980, 'Experiments on Stably and Neutrally Stratified Flow over a Model Three-Dimensional Hill,' J. Fluid Mech., Vol. 96, part 4, pp. 671-704 https://doi.org/10.1017/S0022112080002303
  12. Liu, H., Zhang, B., Sang, J. and Cheng, A. Y. S., 2001, 'A Laboratory Simulation of Plume Dispersion in Stratified Atmospheres over Complex Terrain,' J. Wind Eng. Ind. Aerodyn., Vol. 89, pp. 1-15 https://doi.org/10.1016/S0167-6105(00)00019-2
  13. Grisogono, B., Pryor, S. C. and Keislar, R. E., 1993, 'Mountain Wave Drag over Double Bell-Shaped Orography,' Q. J. R. Meteorol. Soc., Vol. 119, pp. 199-206 https://doi.org/10.1002/qj.49711950909
  14. Gyure, B. and Janosi, I. M., 2003, 'Stratified Flow over Asymmetric and Double Bell-Shaped Obstacles,' Dyn. Atmos. Oceans, Vol. 37,pp. 155-170 https://doi.org/10.1016/S0377-0265(03)00030-7
  15. Yoon, D. H. and Yang, K. S., 2005, 'An Immersed Boundary Method for Simulation of Density-Stratified Flows,' Trans. of the KSME B, Vol. 29, pp. 940-947 https://doi.org/10.3795/KSME-B.2005.29.8.940
  16. Jeong, J. and Hussain, F., 1995, 'On the Identification ofa Vortex,' J. Fluid Mech., Vol. 285, pp. 69-94 https://doi.org/10.1017/S0022112095000462
  17. Sharman, B., Lien, F. S., Davidson, L. and Norberg, C., 2005, 'Numerical Predictions of Low Reynolds Number Flows over Two Tandem Circular Cylinders,' Int. J. Numer. Meth. Fluids, Vol. 47, pp. 423-447 https://doi.org/10.1002/fld.812

Cited by

  1. A Numerical Study on the Effect of Mountainous Terrain and Turbine Arrangement on the Performance of Wind Power Generation vol.34, pp.10, 2010, https://doi.org/10.3795/KSME-B.2010.34.10.901