080 - Mecanique du vol (Part II).pdf - Aero training

! " # $ $___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 1

"% !%## & = ' + α & = α "() α ≈ * α ≈ + ) " = ' " = "# " = ' " ρ',+- ' . , /'- ρ σ, ," " = " ρ', σ, ," +- = . , /'- ρσ +- = . , " /'- ρσ+- = ' ., /- ρ+- = . , /- ρσ+- = . , " /- ρσ 0 1)ρ 234 5 ). - ,4___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 2

"+-+ → = . , " /' - ρσ+- - → = . , " /- ρσ + /'= = = - / = 0 6 11/%78$#3% ##)/%96, 9 = × , 91 1 ,#4/ 9___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 3/'5

" 9α5α:α- - 5/ / / /' 55 5 4- -/'/' /' / ;!

%7>8 39 = /× ω %39 = 9× η /%96, #9#,# η# , 96/,3) η 9 ) η = / 9 = / ) η9 ;! .

%3 = B9 −, B6B! 96,!C B6B% ,6,! /% 6,"#(! # % " "3 # # # % CD # ;! .

%!9 = 9η 9 = , H969I9 9 = 9η + , /%96, 9/J> 9#J // /! //= 9 $ /234/# 9/#+/#6?5@1 /234 A3/6*)+G*)+K234/#___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 7

H3 /!!%% B969 6 !# " 3# + 39 ,#= (39 ,# #J>!3#α5)9A!3# ##3J !3#α-___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 8

J !3#α5α-/)99 "3 "#()3% "36"3I"3 + - " = , + 3 ' = / - " = " + " = / " ∆ , + 3 ∆ ' = * +∆ ' = − , ∆, '),,2++)5&" + ,- 3 ' /= + = --,L = + -3___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 9

&$ # +:* ) # G*** ( ( ; -?* - #=%!/6*)*+GI*)*G/' - 36M)K+4 - /6/I/6*)*+GI*)*G !"#"$%&λ/'-+ + / = → *)*G = → λ = → λ = @)5@@ π λ π λ π *)*G'N- λ = → N = λ. → N = @)5@@ × -?* → N = :+):? . &&A + / = - /' = = A/ = - × *)*+G = *)*5 *)*+G/' = = *)G:?*)*G % :%+ + = +K)-@:%= : × *)*+G × *)*G= /' *)G:? = = = +K)-5 / *)*5___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 10

( &( &"+ -- = ρ ' . , /' → , =- ρ ' . /'-* −G +Gρ ' = = = *)@-* + G -Gρ 'σ = → ρ = ρ σ → ρ = ×ρ *' * ' +)--G *)*@- × +:**** × M)K+, = = +GK)@ 4+)--G × *)*@ × -?* × *)GG () &() &,"A , = → ," = , σ σ ,"= +GK)@ *)@ = +--)KG 4 * &&" +:**** × M)K+ = = → = = ?G55?1 +K)-5___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 11

+** &&9 = , → 9 = ?G55? × +GK)@ = ++M:K ::K 1++M:K ::K" /# =?5@9 = ++M:K 29 = +@-5:/# +*$""""&* &&σ G*** = *)@ → 9 G*** = +@-5:/#σ99+****G***+****-* −+*= = *)555-* + +*E E= *)@ 9 G*** *)@ *)555= =E 9+****E *)@= *)555 *)555*)@*)@*)555 *)5559+**** = 9G*** = +@-:5 = -+?M+ /#___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 12

$""""&$"#,*&-&#+(5 5= → =9 E +5*5+:*9+:*E +:* +5*9+5*9+:*+5*+5*5 +:*9+5*= -+ ?M+ = +M :MK /# = +: 5G+29E, G*** *)@ *)555= =, +**** E *)@*)555*)@*)@= = =*)555 *)555, +**** , G*** +GK)@ -+-)M 4, +:* E +:* +5*= → , +5* = , +:* +5*, E +5*+:*+5*= =+:*, +5* -+-)M -*G 4(),"= , σ = -*G *)555 = ++K)5* 4 ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 13

"% !%## & γ = ' & = + γ 3 +*O γ =+ +* ≈ *)MK " = ' " = + γ & # +** # +*O) 3P ∆ = γ ∆ = +***** M)K+ +* ° !$."/012___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 14

# )#'#9 −9 ∆9#' = = γ)3 γ Q +**#' + + = = − = − , 0H,)%,)%#'#'3 γ = 3 γ = , ,#' γ =,___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 15

%#'6, #,γ,# ,',#'!α59γ!α Rα5S9)9!#!93)!99α5!!α59;&3T//'3A ,' γ;#%%3#3 ,'!%)% γ3#%34%;.#=#,'γ&#0+,'=3(%!#0___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 16

#,γ,# ,',#'!α Uα-S3δ) γ!α-AJ # % # %) ##!#!93> ! 3 ) % % 3)!α-/&!)!# ' = ' ! ' = *σ #!#α-)#< = A-* − < σ = = -* + < * #'γ%%" J ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 17

"% !%## & γ = ' & + γ = 3+*O γ =+ " = ' " + γ = . 6*)!! " ' γ =___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 18

" γ = # )#!'#9H! #D' = γ)+ 3 γ = − 0H ,)% ,)%#D'#D'3 γ = 3 γ = , ,9 −9 ∆9#D' = = ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 19

H!/%#!'6, 3 γ =9#D' = #!'!α59γ!α-& && /D #

.99#!'γ (#%#!'γ (9)#;# # % 3 # %3 # ,' # % %3 3 %3&H#&N=#V#W#,"3#(" =#.!#&N)#WP3VWP&3N#W!"#&+Q C3 3+** )3- *)+ 4+** ≠ *)+ 4 = *)- 2H +Q → ± *)- 2 4 -*)+ 4 = *)- 2 4___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 21

&& < 6 * # % +5* 2 G Q .C ) !# B ##GP∆ , = − *)-2 4 GQ = −+2 4 HG ∆ , = − G2 → +-G2 % 3'' = ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 22

3 ' = ' = = ϕH+ = ϕ #3 -, 3ϕ3= ω = 3 ϕ3 ,A%3-, , ω-ω3 3 3ϕ = = = ω 4 ω6#3#3344$#3+K*O4π4+K* °ω = = 5°4@*π ω = = *)*G4@*___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 23

4!%+)5@*O4ω6@O4*)+4#3

,33 ) % !F %!#3)%!)%! (&33, HϕN, ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 25

"&"/ "NH-, = + + 3-, = − + 3-,3= !!C3X-, = + + 3___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 26

.3 ≤ +)- ω ≤*)- 3,ω 4)34 - ,4ω,)O4,2--*ω ° 4 ≤ , 2 ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 27

.(+ ϕ = ,#3= , -, 3ϕ3= ω =3 ϕ3 ,, , ,3 ϕ = → 3ϕ= = → =3 3 3- - -*)-3 --*, 4 , 2 . ≤ *)- ω 4 = ω ° 4 =" = γ- - -, , , = + + N = − + & =3 3 3 $ $&, = + + - & = + − -, ,___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 28

5 +, , - ρ' . /' = ,!α : /' -.3#!α 5 9 5&3 /!#!# B= / &!α 5 9 &%% : ! 3 &>> /!% B/ H = # / = /, !!α - !# ,,6*α - ,(,R*αRα - ,(,U*αUα - ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 29

G!α 5 9 @> ,'!α 5 9 αRα 5 )9?H ,!'!α 5 9 γα - K.(___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 30

5+,J> , - ρ' . /' = ,!α - -.3#!α - 5&3 /!#!# B= / &!α - >)%> /!% B/ H = # / = /, !!α + / /') , !# % !!# .___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 31

!# ,,6*α + , ,(,R*αRα + ,(,U*αUα + G3 3 ;!+Q &>3-:Q#@!α - ?> ,'!αRα - ) α - )KH ,!'!α 5 9 γα - ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 32

M.(5!#J J>J ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 33

- ( ! + ( = +- ρ- ' . , /'- ( > H# *)? . /' >,%-= %T#). $ $3%#> + 3! $3#> - ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 34

&# 3 $#!3 , %T#). ;! ;>3%# ;!>33# !! # # "! A&%CD #5G*** &N N/CD (!#@****___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 35

; .!#3 3 >3% >33 #3 ;3 .3!#3! >3%3 >3 # & # ! % 3!##7=!3 " / % 3 !3) # % ! 3 T ___________________________________________________________________________© 2005 HIESSE.COM / CPL (A) – 080 Mécanique du Vol - 36