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Jet-flapped airfoils in ground proximity
Sequence 21
17 and (29b) The equations and boundary conditions which determine the linear components follow directly from (7), (8), (…
Sequence 22
18 where ~ (X, ::= (37) (38) o I F; (x) = f; x' ~ J T Ie." \ \ (" ; x ) it ) J..., (39) o Combining…
Sequence 23
Camber (y-case) , 2.,jI-Xa' *" J ~(X) ~(X;~J).) J)( o I = 2.fo;;.1' -.:.. h(X) .r.. (K; X., J,) <f…
Sequence 24
20 , One difficulty in the series expression for G..,.. (qJ) should be noted. Combining equations (24) j (30b) and (33) g1.…
Sequence 25
21 components is to be determined. The four possibilities, corresponding respectively to equations (40), (41), (42) and (43…
Sequence 26
22 is given by the vortex distribution alone. This relation is simply = ~ (x) (51) For small disturbances the associated…
Sequence 27
I Similar expressions for 4 hex) cJ" o and 4 L~ (x) Jx may be found when o specific mean line and thickness shape…
Sequence 28
24 It is convenient to calculate the linear effects separately as was done in the case of the lift coefficient. Therefore (…
Sequence 29
IV. SAMJ?LE RESULTS FOR THE LIFT AND JET-FLAP SHAPE Sample results obtained by using the trigonometric series expansion and…
Sequence 30
IX -case Cj 0.0 .25 1.0 2.25 4.0 Ao .135 .238 .420 .615 .816 Al .025 -.039 - .131 -.213 -.292 '~\2 -.…
Sequence 31
(. c. ~ J J 0 .25 1.0 2.25 4.0 ~ .681 l. 961 4.377 7.242 10.56 ~Cl 7.482 + 4.l04C j 8.362 ~CIC 10.30 12.89…
Sequence 32
r \ ! ! Fig. 28 Lift Coefficient and Jet-Flap Shape ( Jet - Flap Oeflectlo.n}
Sequence 33
29 FlQ. 4 Lift Coefficient and Jet-Flap Shape (Anale of Attack )
Sequence 34
I l. 30 - -I: ',-- , .•. 1- H+'!Ht,'1+ ++~l ,.~.... t'l' .t r \:· ..... "…
Sequence 35
31 V. DISCUSSION The methods developed herein for the determination of sectional lift characteristics of unflapped and jet-…
Sequence 36
located too far downstream to adequately characterize the jet flap. The relative error in lift as C j ..... 0 is large only…
Sequence 37
present. Truncation of the trigonometric series therefore results in errors for both ;; !/.;.,J1( ) , and ~. (x. I VII…
Sequence 38
34 that are increasingly inaccurate far downstream. The distance downstream to which the jet-flap shape calculations may be…
Sequence 39
35 ii. Using the series expansions given by equations (45) and (46), the jet-flap shape calculations are less precise than…
Sequence 40
36 This relative error diminishes in Figure D-l for larger h-va1ues. For smaller clearances qualitative agreement remains but…
Sequence 41
37 this discussion the assessment of the linearized model will be based pri- marily on the results of more sophisticated…
Sequence 42
38 and limiting values of the jet coefficient for the ~ -case is given by Lissaman (Ref. 14). The iterative calculations of…
Sequence 43
importance at low clearance. Because these viscous effects are largely unknown it is difficult to properly assess the…
Sequence 44
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. REFERENCES Foa, J.V. et aI, "High Speed Mass Transportation…
Sequence 45
15. Milne-Thomson, L.M., Theoretical Hydrodynamics, MacMillan, 1955. 16. Kuethe, A.M. and Schetzer, J.D., Foundations of…
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