Abstract
An experimental study on the structure of a turbulent cross jet mixing flow is presented. Diffusion rates, two and three dimensional flow structures, mean velocities turbulence intensities and turbulent shear stresses of the mixing flow were measured as varying the velocity ratio. Self-similar forms for the dimensionless mean velocity and turbulent shear stresses was obtained by correlating the measurement data resulting a remarkable agreement. It was found that the deviation gradient(a) is linearly correlated with the velocity ratio(R), and the cross section of the mixing flow is an elliptic form.
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Abbreviations
- b :
-
Half width of jet
- b Yv :
-
Half width of mixing flow in theY-direction
- C.P.:
-
Geometrical cross point
- D0 :
-
Nozzle diameter
- R :
-
Velocity ratio
- r :
-
Radial distance
- \(\bar U\) :
-
Axial mean velocity
- \(\bar U_1 \) :
-
Exit mean velocity(lower side)
- \(\bar U_m \) :
-
Exial maximum mean velocity
- \(\bar U_0 \) :
-
Exit mean velocity(higher side)
- u′:
-
Turbulent component in theX v direction
- \(\overline {u'v'} \) :
-
Reynolds’ stress in theX-Y plane
- \(\overline {(u'v')} _m \) :
-
Maximum Reynolds’ stress in theX-Y plane
- \(\overline {u'w'} \) :
-
Reynolds’ stress in theX-Z plane
- \(\bar V\) :
-
Radial mean velocity
- v′:
-
Turbulent component in theY v direction
- w′:
-
Turbulent component in theZ v direction
- X :
-
Axial direction
- X 0 :
-
Distance between the nozzle exit and C.P.
- X v :
-
Axial direction of mixing flow (R≠1.0)
- Y :
-
Radial direction
- Y D :
-
Deviation distance betweenX andX v axes
- Y 0 :
-
Half distance between nozzles
- Y v :
-
Radial direction of mixing flow (R≠1.0)
- Z :
-
Normal direction ofX-Y plane
- α:
-
Deviation gradient
- η:
-
Defined asY/b orZ/b
- θ:
-
Cross angle
References
Abramovich, G. N., 1963, “The Theory of Turbulent Jets”, MIT Press, Cambridge, MA, pp. 541–553.
Ahmed, S. A. and So, M. C., 1987, “Characteristics of Air Jets Discharging Normally into a Swirling Crossflow”,AIAA Journal, Vol. 23, No. 3, pp. 429–435.
Andreopoulos, J. and Rodi, W., 1984, “Experimental Investigation of Jets in a Crossflow”,J. of Fluid Mech., Vol. 138, pp. 93–127.
Andreopoulos, J., 1982, “Measurement in a Jet-Pipe Flow Issuing Perpendicularly into Cross Stream”,ASME, J. of Fluids Engineering, Vol. 104, pp. 493–499.
Andreopoulos, J., 1985, “On the Structure of Jets in a Crossflow”,J. of Fluid Mech. Vol. 157, pp. 163–197
Barata, J. M. M., Durao, D. F. G. and Heiter, N. V., 1992, “Velocity Characteristics of Multiple Impinging Jets Through a Crossflow”,ASME Journal of Fluids Engineering Vol. 114, pp. 231–239.
Barata, J. M. M., Durao, D. F. G. and Heitor, M. V., 1991, “Impingement of Single and Twin Turbulent Jets Through a Crossflow”,AIAA Journal, Vol. 29, No. 4, pp. 595–602.
Bojic, M. L. and Eskinazi, S., 1979, “Two-Dimensional Mathematical Model of a Nonbuoyant Jet in a Crossflow”,AIAA Journal, Vol. 17, No. 10, pp. 1050–1054.
Chen, K. S. and Hwang, J. V., 1991, “Experimental Study on the Mixing of One-and Dual-Line Heated Jets with a Cold Crossflow in a Confined Channel”,AIAA Journal, Vol. 29, No. 3, pp. 353–360.
Elliott, C. and Townsend, A. A., 1981, “The Development of a Turbulent Wake in a Distorting Duct”,J. of Fluid Mech., Vol. 113, pp. 433–467.
Gencay, S., Tapucu, A., Troche, N. and Merilo, M., 1984, “Experimental Study of the Diversion Crossflow Caused by Subchannel Blockages, Part I: Experimental Procedures and Mass Flow Rates in the Channels”,ASME J. of Fluids Engineering, Vol. 106, pp. 435–440.
Hinze, J. O., 1975,Turbulence, 2nd Ed., McGraw-Hill.
Isaac, K. M. and Jakubowski, A. K., 1985, “Experimental Study of the Interaction of Multiful Jets with a Cross Flow”,AIAA Journal, Vol. 23, No. 11, pp. 1679–1683.
Kadota, T. and Wang, J. X., 1990, “Structure of Propane Jet Diffusion Flame in a Cross Flow,”JSME International Journal, Series II, Vol. 33, No. 3, pp. 575–581.
Kamotani, Y. and Greber, I., 1972, “Experiments on a Turbulent Jet in a Cross Flow,”AIAA Journal, Vol. 10, No. 11, pp. 1425–1429.
Makihata, T. and Miyai, Y., 1983, “Prediction of the Trajectory of Triple Jets in a Uniform Crossflow”,ASME J. of Fluids Engineering, Vol. 105, pp. 91–97.
Rho, B. J. and Kim, J. K., 1987, “A Comparative Study on the Round Jet and the Cross Jet,”KSASS, Vol. 15, No. 1, pp. 23–34.
Rho, B. J. and Kim, J. K., 1984, “An Experimental Study on the Turbulent Flow of a Free Cross Jet”,KSME, Vol. 8, No. 5, pp. 442–449.
Rho, B. J. and Kim, J. K., 1986, “Study on the Statistical Turbulent Characteristics of 45° Circular Cross Jet Flow”,KSME, Vol. 10, No. 1, pp. 110–120.
Rho, B. J. and Park, J. H., 1988, “Study on the Statistical Turbulence Characteristics of Cross Jets in the Cylinder by On-Line Computer System,”KSME, Vol. 12, No. 4, pp. 876–891.
Rho, B. J., Kim, J. K. and Dwyer, H. A., 1990, “Experimental Study of a Turbulent Cross Jet,”AIAA Journal, Vol. 28, No. 5, pp. 784–789.
Rho, B. J., Lee, D. O., Kim, J. S. and Oh, J. H., 1991, “Topological and Statistical Investigation of a Cross Jet Formed by Two Different Jets,”KSME, Vol. 15, No. 4, pp. 1301–1308.
Rudinger, Y. and Moon, L. F., 1976, “Laser-Doppler Measurement in a Subsonic Jet Injected into a Subsonic Crossflow”,ASME J. of Fluids Engineering, Vol. 98, No. 3, pp. 515–520.
Savory, E. and Toy, N., 1991, “Real-Time Video Analysis of Twin Jets in a Crossflow,”ASME, Vol. 113, pp. 68–72.
Schlichting, H., 1979,Boundary Layer Theory, 7th Ed., McGraw-Hill.
Shirakashi, M. and Tomita, Y., 1978, “The Diffusion of Jets in a Cross Flow”,Bulletin of the JSME, Vol. 21, No. 157, pp. 1160–1167.
Tapucu, A., Gencay, S., Troche, N. and Merilo, M., 1984, “Experimental Study of the Diversion Crossflow Caused by Subchannel Blockages, Part II: Pressures in the Channels and the Comparison of the COBRA III-C Predictions With Experimental Data”,ASME J. of Fluids Engineering, Vol. 106, pp. 441–447.
Townsend, A. A., 1976,The Structure of turbulent Shear Flow, 2nd Ed., Cambridge University Press.
Toy, N., Disimile, P. J., Savory, F. and McCusker, S., 1992, “The Development of the Interface Region Between Twin Circular Jets and a Normal Crossflow,”Proceedings, 13th Symposium on Turbulence, Rolla, U.S.A.
Toy, N., Savory, E., Shoe, B. and Disimile, P. J., 1993, “Digital Image Analysis of Two Impinging Circular Jets,” Engineering Turbulence Modelling and Experiments 2, Elsevier Ed., pp. 425–434.
Wygnanski, I. and Fiedler, H., 1969, “Some Measurements in the Self-Preserving Jets”,J. of Fluid Mech., Vol. 38, part 3, pp. 577–612.
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Rho, B.J., Oh, J.H. & Lee, D.O. On the mixing flow structure of a turbulent cross jet. KSME Journal 9, 68–79 (1995). https://doi.org/10.1007/BF02954355
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DOI: https://doi.org/10.1007/BF02954355