Post on 04-Jun-2018
8/13/2019 Aerodynamics Questions and Suggested Answers 6
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Fajatao Chfuruthraao Ahrkoautgc, ECI, Xogvhrsgtg Rhcokmkng Iamaysga
\kmutgko Rhsts 1 \hihsthr : :011/1: \IE <<<< Ahrkbyoaigls
Quhstgko 1
a) Jy ihaos ke a lkotrkm-vkmuih aoamysgs, bhrgvh tdh gothnram ekri ke lkotgougtyhquatgko. \dkw tdat tdh lkotgougty hquatgko go tdh gothnram ekri lao jh lkovhrthb tk a
bgeehrhotgam ekri as"#
" t +$ % # U 9 0
\kmutgko
Rdh oht rath ke iass emkwgon kut ke lkotrkmvkmuih tdrkund tdh lkotrkm surealh \
9 Rdh rath ke bhlrhash ke iassgosgbh lkotrkm vkmuih
Iass emkw tdrkund b\ 9 " U o b\ 9 " U # b\
Iass emkw tdrkund surealh \ 9 " U # b\ \
$$
Iass gosgbh bU 9 " bU
Rktam iass gosgbh LU
9 " bU
U
###
Zath ke bhlrhash ke iass gosgbh LU
9 " #
#t $ bU
U
%%%
Rdhrhekrh, " U # b\ \
$$ 9 % &
&t " bU
U
$$$
Rdh gothnram ekri lkotgougty hquatgko gs"
" t # bU
U
$$$ + # U % b\ \
$$ 9 0
"
" t # bU
U
$$$ 9
"#
" t U
$$$ bU + # " bU ( )" t
U
$$$ 9
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" t U
$$$ bU
sgolh
"
" t U ( ) 9
"
" t " U ( ) 9 0 sgolh U aob ! U arh egxhb
Xsh bgvhrnholh tdhkrhi
" # U $ b\ \
%% 9 & $ # U( )bU U
%%%
Rdhrhekrh,"
" t # bU
U
$$$ + # U % b\ \
$$ 9
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$$$ bU + & % # U( )bU U
$$$ 9 0
"#
" t U
$$$ bU + % & # U( )bU U
$$$ 9
"#
" t + % & # U
'
( )
*
+ ,
U
$$$ bU 9 0
\golh tdgs hquatgko dkmbs ekr aoy arjgtrary vkmuih U, tdhrhekrh tdh gothnraob
"#
" t +$ % # U 9 0
8/13/2019 Aerodynamics Questions and Suggested Answers 6
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j) Rdho sdkw tdat tdh lkotgougty hquatgko lao jh wrgttho as
"#
" t +$ % # U 9
"#
" t +
"
" x# u( )+
"
" y# v( )+
"
" z# w( ) 9
B#
Bt + # BgvU
\kmutgko
" 9
#
# xg +
#
# y f +
#
# zc
$ U 9 $ ug + $ v f + $ w c
" # $ U 9%
% xg +
%
% y f +
%
% zc
&
' (
)
* + # $ ug + $ v f + $ w c ( ) 9
%
% x$ u( )+
%
% y$ v( ) +
%
% z$ w( )
"#
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"#
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" x# u( ) +
"
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"
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"
" z# w( ) 9
"#
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9
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( ) + #
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9
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9
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wdhrh, B"
Bt 9
#"
# t + u
#"
# x+ v
#"
# y+ w
#"
# z aob BgvU 9" #U
8/13/2019 Aerodynamics Questions and Suggested Answers 6
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Quhstgko :
Hxpmago jrghemy tdh Cutta“Fkwckwscy traosekriatgkos aob nht tdh traosekriatgko ke a
laijhrhb agrekgm aob amsk sunnhst ao hxprhssgko ekr tdh tdglcohss tk ldkrb ratgk ekr tdh
prkegmh.
A Fkuckwscg agrekgm gs ekrihb jy bgspmalgon a lgrlmh ke rabgus 1 jy " x 9 -0.071 (rham axgs)aob " y 9 0.05< (giangoary axgs) as go Egn. 1.
\tartgon erki emkw arkuob lgrlumar lymgobhr,
Lamlumath6
a) Ukrthx strhontd " ge " 9 0k
, aob U " 9 >0 i/s
j) L M at " 9 0k
, " 9 8k
aob " 910k
Egnurh 1
\kmutgko
Cutta“Fkwckwscy……… nht tdh traosekriatgko ke a laijhrhb agrekgm……..
Ao hxprhssgko ekr tdh tdglcohss tk ldkrb ratgk ekr tdh prkegmh gs a " j( ) j . (< iarcs)
Go lkipmhx thris tdh emkw past a lymgobhr wgtd mget gs wrgttho6
wdhrh
,
.kr
x
yz pmaoh
-!
x
y
!
0.05<
-0.071
lymgobhr
stanoatgko
pkgot
j
8/13/2019 Aerodynamics Questions and Suggested Answers 6
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Rdh vhmklgty go tdh # bgrhltgko gs,
U " 9 # :U $ sgo" +
%
:& Z
'
( )
*
+ , wdho
Rdgs vhmklgty gs zhrk ko tdh surealh ke tdh lymgobhr at tdh stanoatgko pkgots. At tdh tdhsh
pkgots .
0 9 :U " sgo(# ) $
%
:& Z
" 9 2# U $ Zsgo(% )
Ge tdh eghmb gs rktathb jy $ tk sgiumath ao aonmh ke attalc,
" 9 2# U $ Zsgo(% +& )
\golh tdh ldkrb mhontd ke tdh Fkuckwscg agrekgm gs 2j, tdh mget lkheeglghot lao jh wrgttho,
L M 9
" M
1
:# U
$
:l
9 # U $
%
1
:# U
$
:2j
9
%
:U $j9 2&
U $
Zsgo('
+
( ):U
$j
Iacgon tdh assuiptgko tdat j " Z ,
L M9 :" sgo(# + $ ) % :" (# + $ )
" 9 sgo#1 0.05<
1
$
% &
'
( ) 9 <.51
K
tao(<.51K) 9
0.05<
0.071+ j
j 9 0.707 (KC tk assuih j " Z)
a) Ukrthx strhontd " ge $ 9 0k, aob U " 9 >0 i/s
% 9 2& U " Z' sgo( $ +( ) 9 2#(>0)(1)sgo(<.51k) 9 88.<4> i:/s
j) L M at $ 9 0k , $ 9 8k aob $ 9 10k
L M 9 :& sgo(<.51) 9 0.<785
L M 9 :& sgo(8 + <.51) 9 0.7205
L M 9 :& sgo(10 + <.51) 9 1.2>48
Rdhsh tdhkrhi lao jh ushb wgtdkut prkke6
\tkchs‗ tdhkrhi A " bsl
# 9 $ % A( ) " b\ \
##
Bgvhrnholh tdhkrhi
A " b\ \
## 9 $ " A( )b U
### U
Nrabghot tdhkrhi
p " b\ \
## 9 $ p b U
### U