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Measurements on supersonic free jets

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Summary

An experimental study of round supersonic air jets discharging into quiescent air is described. The initial stagnation enthalpy of the jets was equal to that of the atmosphere. Most of the experiments concerned a fully expanded jet with initial Mach number M I =1.74. From the experimental results the turbulent Prandtl number and the turbulent coefficient of momentum transfer could be calculated in a large part of the mixing zone of the jets. A mixing parameter K has been introduced and calculated for the jets. The results of this investigation are compared with those obtained for low-speed jets.

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Abbreviations

c p :

specific heat at constant pressure, Nm/kg°K

D :

exit diameter of nozzle, mm

e :

turbulent exchange coefficient of momentum, Ns/m2

k :

turbulent exchange coefficient of heat, N/s°K

K :

mixing parameter

M :

Mach number

p :

pressure, N/m2

Pr, Pr t :

Prandtl number (laminar and turbulent respectively)

q :

heat efflux, N/m s

r :

radius in the jet, mm

r 0 :

half value radius for velocity, mm

T :

temperature, °K

u :

axial velocity, m/s

v :

radial velocity, m/s

x :

axial distance from nozzle exit, mm

y :

radius in the jet, mm

ε :

kinematic coefficient of momentum transfer, m2/s

χ :

kinematic coefficient of heat transfer, m2/s

ρ :

density kg/m3

σ :

turbulent shear stress, N/m2

Ω :

expansion factor

I :

at the nozzle exit

a :

ambient condition

ax :

value on axis of the jet

o :

stagnation condition

t :

turbulent

References

  1. Corrsin, S., Investigations of Flow in axially symmetrical heated Jet of Air, NACA, ACR 3123, 1943 and NACA Wartime Report W-94, 1946.

  2. Hinze, J. O. and B. G. v. d. Hegge Zijnen, Heat and Mass Transfer in the turbulent mixing Zone of an axially symmetrical Jet, Proceedings of the Seventh International Congress of Applied Mechanics. Vol. 2, pt. 1, 1948, pp 286–299.

  3. Prandtl, L., Z. angew. Math. Mech. 5 (1925) 136.

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  5. Rietdijk, J. A. and A. Valstar, On a thermometer with recovery factor r=1, Appl. Sci. Res. A 7 (1958) 251.

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  6. Broer, L. J. F., A. Deeleman and J. A. Rietdijk, Appl. Sci. Res. B 6 (1957) 253.

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  7. Schlichting, H., Grenzschicht Theorie, Verlag G. Braun, Karlsruhe, 1951.

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  8. Corrsin, S., and M. S. Uberoi, Further Experiments on the Flow and Heat Transfer in a heated turbulent Air Jet, NACA report 998, 1950.

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  10. Rietdijk, J. A., Metingen aan vrije supersone stralen, thesis Delft 1959.

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Authors and Affiliations

  1. Mededeling no. 93 van het Laboratorium voor Aero- en Hydrodynamica van de Technische Hogeschool, Delft, Netherlands

    L. J. F. Broer & J. A. Rietdijk

Authors
  1. L. J. F. Broer
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  2. J. A. Rietdijk
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Broer, L.J.F., Rietdijk, J.A. Measurements on supersonic free jets. Appl. sci. Res. 9, 465 (1960). https://doi.org/10.1007/BF00382225

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  • DOI: https://doi.org/10.1007/BF00382225

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