Skip to main content
SpringerLink
Log in

Mean flow characteristics of a turbulent plane jet with buoyancy induced curvature

  • Originals
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

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

    Google Scholar 

  • Abdel-Rahman, A.; Tropea, C.; Slawson, P.; Strong, A. 1987: On temperature compensation in hot-wire anemometry. J. Phys. E 20, 315–319

    Article  Google Scholar 

  • Abraham, G. 1963: Jet diffusion in stagnant ambient fluid. Delft Hyd. Lab. Pub. 29. Holland: Delft

    Google Scholar 

  • Abraham, G. 1965: Horizontal jets in stagnant fluid of other density. J. Hydraul. Div. ASCE 91, 139–154

    Google Scholar 

  • 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

    Google Scholar 

  • Bashir, J.; Uberoi, M. 1975: Experiments on turbulent structure and heat transfer in a two-dimensional jet. Phys. Fluids 18, 405–410

    Article  Google Scholar 

  • 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

    Google Scholar 

  • Bergstrom, D. J. 1987: A computational study of plane buoyant free jets using algebraic stress-flux models. Ph.D. Thesis. Ontario: University of Waterloo

    Google Scholar 

  • 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

    Article  Google Scholar 

  • Bruun, H. H.; Tropea, C. 1985: The calibration of inclined hot-wire probes. J. Phys. E 18, 405–413

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Collis, D. C.; Williams, M. J. 1959: Two-dimensional convection from heated wires. J. Fluid Mech. 6, 357–384

    Google Scholar 

  • 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

    Article  Google Scholar 

  • Krothapalli, A.; Baganoff, D.; Karamcheti, K. 1981: On the mixing of a rectangular jet. J. Fluid Mech. 107, 201–220

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Ray, G. D. 1986: Characteristics of a vertical isothermal plane jet. MASc. Thesis. Ontario: University of Waterloo

    Google Scholar 

  • Reardon, J. T. 1985: An experimental investigation of the turbulence structure of a heated plane jet. Ph.D. Thesis. Ontario: University of Waterloo

    Google Scholar 

  • Seif, A. A. 1981: Higher order closure model for turbulent jets. Ph.D. Thesis. State University of New York Buffalo

    Google Scholar 

  • Sfeir, A. A. 1979: Investigation of three-dimensional turbulent rectangular jets. AIAA J. 17, 1055–1060

    Google Scholar 

Download references

Author information

Author notes

  1. A. A. Abdel-Rahman

    Present address: Dept. of Mechanical Engineering, University of Alexandria, Alexandria, Egypt

Authors and Affiliations

  1. Dept. of Mechanical Engineering, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    G. J. Hitchman, A. A. Abdel-Rahman, P. R. Slawson & A. B. Strong

Authors
  1. G. J. Hitchman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Abdel-Rahman
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. R. Slawson
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. B. Strong
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Presently with Dept. of Mechanical Engineering, University of Alexandria, Alexandria, Egypt

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00203068

Keywords

Search

Navigation