Aerodynamics Questions and Suggested Answers 6

8/13/2019 Aerodynamics Questions and Suggested Answers 6

http://slidepdf.com/reader/full/aerodynamics-questions-and-suggested-answers-6 1/4

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

"#

" 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

"#

" t U

$$$ 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



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( )

"#

" t +$ % # U 9

"#

" t +

"

" x# u( ) +

"

" y# v( ) +

"

" z# w( )

"#

" t +

"

" x# u( ) +

"

" y# v( ) +

"

" z# w( ) 9

"#

" t + #

" u

" x+ u

"#

" x+ #

" v

" y+ v

"#

" y+ #

" w

" z+ w

"#

" z

9

"#

" t + u

"#

" x+ v

"#

" y+ w

"#

" z

$

% &

'

( ) + #

" u

" x+ #

" v

" y+ #

" w

" z

$

% &

'

( )

9

B#

Bt + # * +U

9

B#

Bt + # BgvU

wdhrh, B"

Bt 9

#"

# t + u

#"

# x+ v

#"

# y+ w

#"

# z aob BgvU 9" #U



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



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

Documents

Aerodynamics Questions and Suggested Answers 6