8/13/2019 Aerodynamics Questions and Suggested Answers 7

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@opnrteoht gi Norghnutalnc OhdahoorahdEolmnhalnc Ohdahoorahd Inlucty, _havorsata Pobhgcgda Encnysan

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>. Pmo vocglaty lgepghohts igr n twg-`aeohsaghnc (pcnho) ahlgeprossafco stgwnro

vr

5n

r+

f

r 6 lgs " v

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f

r 6 sah "

wmoro n nh` f nro lghstnhts. @otoreaho tmo lgrrospgh`ahd lgepcox pgtohtanciuhltagh, w 5 w(z).

\gcutaghAh pgcnr lggr`ahntos

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8/13/2019 Aerodynamics Questions and Suggested Answers 7

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6 ) \mgw tmnt tmo lghtahuaty oquntagh ah tmo ahtodrnc igre"

" t # `Y

Y

$$$ + # Y %\ \

$$ 5 :

lnh fo lghvorto` tg n `aiiorohtanc igre ns"#

" t + $ % # Y 5 :

Igr n lghvordohlo `avordohlo hgzzco nt n qunsa-gho-`aeohsaghnc icgw watmpgaht > nh` 6 nt upstrone nh` `gwhstrone gi n tmrgnt rospoltavocy, smgw tmnt

" > N>Y > 5 " 6 N 6Y 6 .\gcutagh

"

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Nppcy `avordohlo tmogroe

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nh` tmoh,"#

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Pmas oquntagh mgc`s igr nhy nrfatrnry vgcueo Y, tmoroigro tmo ahtodrnh`"#

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Lghtahuaty oquntagh igr icgw tmrgudm tmo lghvordohlo `avordohlo hgzzco"" t

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8/13/2019 Aerodynamics Questions and Suggested Answers 7

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?a) ah tmo z-pcnho ahtg n lnefor caho ah tmo w-pcnho. @oravotmo oquntagh gi tmo lnefor caho.

\gcutagh

Cot tmo pgaht Z gh tmo larlco fo roprosohto` fy z 5 Vo a"

Prnhigrentagh wacc davo w 5 Vo a" +f 6

Vo # a"

w 5 V lgs " + asah " ( )+f 6

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#

$ %

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#

$ %

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(a)

Ocaeahntahd V, davos

" 6 sah 6 # $ % 6 lgs 6 # 5 0 f 6 sah 6 # lgs 6 # (aa)

Oquntagh (aa) as tmo smnpo gi tmo trnhsigre fg`y ah w pcnho , wmalm lnh fo pcgtto` grnhncyso.

Irge tmo `andrne, oxpross " ah tore gi ! nh` " Igr tranhdco G^Z

^Z 6 5 GZ 6 + G^ 6 " 6 G^( ) GZ( )lgs ^GZ( ) ^Z 5 f 5 l lgs " nh` G^ 5 l tnh "

l 6

lgs 6 " 5 V 6 + l 6 tnh 6 " # 6 Vl tnh " lgs 1: g # $ ( ), lgs 1: g " # ( )5 $

V5 sah #

usahd oquntagh (a), lnh fo saepcaiao` tg

6 l tnh " sah # 5

V $ l6

V5

% sah # (aaa)Ocaeahnto " , hgto tmnt irge (aaa)

lgs 6 " 56 l tnh # $ %

6 l tnh # nh` lgt 6 " 5

6 l tnh # $ % %

" 6 + # + 6 l lgt 6 $ ( )6

5 6 l lsl6 $ ( )6

wmoro lgs " 5 :.>? f

N larlco ah tmo w pcnho watm lohtro nt :, " 6 l lgt6 # ( ) nh` rn`aus 6 l lsl6 " ( )6

.

Pmoroigro tmo larlucnr lycah`or as trnhsigreo` tg n larlucnr nrl.

Nctorhntavocy iah` tmo oquntagh gi tmo larlco wrt tmo lohtro gi tmo larlco ah z pcnho a.o z 5 fo a" + :.>? a - (entmoentabhyn cnda susnm)