Summary
A theoretical and experimental investigation is made of supersonic ejectors with mixing at constant cross-section. In the theoretical part formulae are derived treating the essential points of the behaviour of such an ejector. The theory is mainly based upon one-dimensional flow of a perfect gas; some extensions are included concerning the influence of friction and mixing profile.
In a second part the results of an experimental investigation covering a large variation of the parameters and a comparison with the theory will be communicated.
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Abbreviations
- ′:
-
primary quantities (inducing flow)
- ″:
-
secondary quantities (induced flow)
- *:
-
sonic conditions
- 1:
-
exit of primary nozzle
- 2:
-
section of maximum primary expansion
- 3:
-
exit of mixing tube
- 4:
-
section downstream of 3
- 0:
-
reservoir conditions
- x, y :
-
upstream and downstream of a normal shock.
- a :
-
velocity of sound
- c p :
-
specific heat at constant pressure
- c v :
-
specific heat at constant volume
- D :
-
diameter of mixing tube
- F′,F″:
-
cross-section of primary resp. secondary flow
- F 0 :
-
cross-section of mixing tube
- L :
-
length of mixing tube
- M :
-
Mach number =u/a
- M * :
-
critical Mach number =u/a *
- m 2 :
-
(κ+ 1)/(κ − 1)
- P :
-
static pressure
- Q :
-
mass-flow
- Q max ″ :
-
secondary mass flow limited by flow conditions in mixing tube
- Q MAX ″ :
-
secondary mass flow defined by sonic conditions over cross sectionF 0
- R :
-
gas constant in the perfect gas lawp = ρRT
- T :
-
absolute temperature
- u :
-
velocity
- α:
-
L/D
- κ:
-
C p /C v
- λ:
-
F′/F*′ non-dimensional cross-section of mixing tube
- v :
-
F′/F*′ non-dimensional cross section of primary flow
- ϕ:
-
Q″/QMAX″, μ =Q″/Q′ non-dimensional secondary mass flow
- \(\eta _ + = (\mu + 1)\frac{{ln p_{03} /p''_0 }}{{ln p'_0 /p''_0 }}\), \(\eta _ - = \mu \frac{{ln p_{03} /p''_0 }}{{ln p'_0 /p''_0 }}\):
-
efficiencies derived in (2.2)
References
Fabri, J., E. le Grivès et R. Siestrunck, Etude aerodynamique des trompes supersoniques, Jahrbuch 1953 der Wiss. Gesellsch. für Luftfahrt, Braunschweig, 1954.
Grivès, E. le, J. Fabri and J. Paulon, Design diagrams for supersonic ejectors, ONERA, Techn. Note No. 35, 1956.
Fabri, J. and J. Paulon, The air to air supersonic ejectors: theory and experiment, ONERA, Techn. Note No. 36, 1956.
Fabri, J. and R. Siestrunck, Supersonic air ejectors, Advances in applied mechanics Vol. V, Academic Press, New York, London, 1958.
Abramowitch, G. N., Angewandte Gasdynamik; VEB-Verlag Technik, Berlin, 1958,
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De Haan, R.E. Supersonic ejectors with mixing at constant cross-section. Appl. sci. Res. 12, 293–313 (1963). https://doi.org/10.1007/BF03184979
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DOI: https://doi.org/10.1007/BF03184979