Abstract
An experimental investigation of heated vertical and inclined plane air jets discharged into quiescent surroundings is described. A unique feature of this data is that Pilot tube measurements were used to define the mean trajectory of the inclined jets so that subsequent hot-wire traverses could be made normal to the curved path. While the mean velocity and temperature profiles are self-similar for the range of exit conditions studied, other aspects of the mean jet development depend on the exit Reynolds and Froude numbers, or the discharge angle. It is noted that variations between this study and other published data suggest further measurements of this flow situation are needed, with particular attention to specific features of the jet apparatus and ambient surroundings, and to the exit Reynolds number.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Abbreviations
- b :
-
half-width
- C, C 0, C * :
-
constants defining decay rates
- D :
-
exit width of the jet
- Fr :
-
jet exit densimetric Froude number (ρ 0 U 0/g D Δϱ 0)
- I :
-
velocity profile integral parameter
- K, K 0 :
-
constants defining spread rates
- M :
-
momentum flux
- Re :
-
jet exit Reynolds number
- s, n :
-
curvilinear axes of the jet flow
- T :
-
temperature
- U, V :
-
streamwise and transverse velocity
- U s :
-
velocity scale [Eq. (3)]
- x 1 :
-
length scale [Eq. (4)]
- x, y, z :
-
Cartesian axes of the jet flow
- ΔAT :
-
excess temperature (T — T a )
- θ :
-
jet discharge angle relative to vertical (θ = 0 °)
- η :
-
y/b or n/b
- φ :
-
momentum thickness of the nozzle boundary layer
- ϱ :
-
air density
- a :
-
ambient
- c :
-
jet centerline
- 0:
-
jet exit
- t :
-
refers to temperature
- u :
-
refers to velocity
- ∞:
-
refers to far field
- overbar:
-
time average
References
Abdel-Rahman, A.; Hitchman, G. J.; Slawson, P. R.; Strong, A. B. 1988 a: An X-array hot-wire technique for heated turbulent flows of low velocity. J. Phys. E, in press
Abdel-Rahman, A.; Hitchman, G. J.; Strong, A. B.; Slawson, P. R. 1988 b: Turbulence measurements in a plane air jet with buoyancy induced curvature. Exp. Thermal Fluid Science, in press
Abdel-Rahman, A. 1987: An experimental investigation of a buoyant turbulent plane jet with streamline curvature. Ph.D. Thesis. Ontario: University of Waterloo
Abdel-Rahman, A.; Tropea, C.; Slawson, P.; Strong, A. 1987: On temperature compensation in hot-wire anemometry. J. Phys. E 20, 315–319
Abraham, G. 1963: Jet diffusion in stagnant ambient fluid. Delft Hyd. Lab. Pub. 29. Holland: Delft
Abraham, G. 1965: Horizontal jets in stagnant fluid of other density. J. Hydraul. Div. ASCE 91, 139–154
Anwar, H. O. 1969: Experiment on an effluent discharging from a slot into stationary or slow-moving fluid of greater density. J. Hydraul. Res. 7, 411–430
Bashir, J.; Uberoi, M. 1975: Experiments on turbulent structure and heat transfer in a two-dimensional jet. Phys. Fluids 18, 405–410
Baker, C. B.; Maffe, A. J.; Taulbee, D. B. 1987: An analysis of the two-dimensional turbulent buoyant jet. ASME HTD-70, 24th Nat Heat Transfer Conference and Exhibition. Pittsburgh: New York: ASME
Bergstrom, D. J. 1987: A computational study of plane buoyant free jets using algebraic stress-flux models. Ph.D. Thesis. Ontario: University of Waterloo
Bradshaw, P. 1973: Effects of streamline curvature on turbulent flow. AGARDograph No. 169
Bruun, H. H. 1972: Hot-wire data correction in low and high turbulence intensity flows. J. Phys. E 5, 812–818
Bruun, H. H.; Tropea, C. 1985: The calibration of inclined hot-wire probes. J. Phys. E 18, 405–413
Cederwall, K. 1971: Buoyant slot jets into stagnant or flowing environments. W. M. Keck, California Inst. Technol., Report No. KH-R-25
Chambers, A. J.; Antonia, R. A.; Browne, L. W. B. 1985: Effect of symmetry and asymmetry of turbulent structures on the interaction region of a plane jet. Exp. Fluids 3, 343–348
Champagne, F. H.; Sleicher, C. A.; Wehrmann, O. H. 1967: Turbulence measurements with inclined hot-wires. Part 1. Heat transfer experiments with inclined hot-wire. J. Fluid Mech. 28, 153–175
Chan, T. L.; Kennedy, J. F. 1972: Turbulent non-buoyant or buoyant jets discharged into flowing or quiescent fluids. IIHR Report No. 140, University of Iowa
Chen, C. J.; Rodi, W. 1980: Vertical turbulent buoyant jets — A review of experimental data. Oxford: Pergamon Press
Collis, D. C.; Williams, M. J. 1959: Two-dimensional convection from heated wires. J. Fluid Mech. 6, 357–384
Fan, L.; Brooks, N. H. 1969: Numerical solutions of turbulent buoyant jet problems. W. M. Keck, California Inst. Technol., Report No. KH-R-18
Hitchman, G. J.; Strong, A. B.; Slawson, P. R.; Ray, G. D. 1988: The turbulent plane jet with and without confining end walls. AIAA J., in press
Hussain, A. K. M. F.; Clark, A. R. 1977: Upstream influence on the near field of a plane turbulent jet. Phys. Fluids 20, 1416–1426
Krothapalli, A.; Baganoff, D.; Karamcheti, K. 1981: On the mixing of a rectangular jet. J. Fluid Mech. 107, 201–220
Lemieux, G. P. 1983: An experimental study of the effects of Reynolds number and buoyancy upon the structure of inclined turbulent two-dimensional jets. Ph.D. Thesis. Kingston, Ontario: Queen's University
Lemieux, G. P.; Oosthuizen, P. H. 1984: Experimental study of the behaviour of plane turbulent jets at low Reynolds numbers. AIAA 17th Fluid Dynamics, Plasma Dynamics, and Lasers Conference. Snowmass, Colorado
Otugen, M. V.; Namer, I. 1986: The effect of Reynolds number on the structure of plane turbulent jets. AIAA 24th Aerospace Sciences Meeting, Reno, Nevada
Pelfrey, J. R. R.; Liburdy, J. A. 1986: Effect of curvature on the turbulence of a two-dimensional jet. Exp. Fluids 4, 143–149
Ramaprian, B. R.; Chandrasekhara, M. S. 1983: Study of vertical plane turbulent jets and plumes. IIHR Rep. No. 257, University of Iowa
Ramaprian, B. R.; Chandrasekhara, M. S. 1985: LDA measurements in plane turbulent jets. Trans. ASME 107, 264–271
Ray, G. D. 1986: Characteristics of a vertical isothermal plane jet. MASc. Thesis. Ontario: University of Waterloo
Reardon, J. T. 1985: An experimental investigation of the turbulence structure of a heated plane jet. Ph.D. Thesis. Ontario: University of Waterloo
Seif, A. A. 1981: Higher order closure model for turbulent jets. Ph.D. Thesis. State University of New York Buffalo
Sfeir, A. A. 1979: Investigation of three-dimensional turbulent rectangular jets. AIAA J. 17, 1055–1060
Author information
Authors and Affiliations
Additional information
Presently with Dept. of Mechanical Engineering, University of Alexandria, Alexandria, Egypt
Rights and permissions
About this article
Cite this article
Hitchman, G.J., Abdel-Rahman, A.A., Slawson, P.R. et al. Mean flow characteristics of a turbulent plane jet with buoyancy induced curvature. Experiments in Fluids 8, 77–85 (1989). https://doi.org/10.1007/BF00203068
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00203068