r r r
SOLUTIONS MANUAL
r
,Part One - Fundamental Principles
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1) Aerodynamics: Some Introductory Thoughts
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2) Aerodynamics: Some Fundamental Principles and Equations
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Part Two - Inviscid, Incompressible Flow
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3) Fundamentals of Inviscid, Incompressible Flow
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4) Incompressible Flow over Airfoils
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5) Incompressible Flow over Finite Wings
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6) Three-Dimensional Incompressible Flow r r
Part Three - Inviscid, Compressible Flow
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7) Compressible Flow: Some Preliminary Aspects
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8) Normal Shock Waves and Related Topics
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9) Oblique Shock and Expansion Waves
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10) Compressible Flow Through Nozzles, Diffusers, and Wind Tunnels
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, CHAPTERr 1
1.1 )
=r P_I9x10r r _5526k&hr (r
)r P RT (287)(203) \0 g '
(b)r Tr=rl- 1058 -1501rOR)
pR (1.23r xr 10)01716) ="
TE
(p%cos0+tr sin0)r ds,
1.2 N'=- J LE
+(" ,cos0-+,sin0)r s, (1.7)
LE
dsrcosr0=dxr
dsr sin0=-dy
Hence,
N'=- JT~E. (-pdx+ JT~.E (+,)dy
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r r
Dividerby.Sr=q.rcl)
.c
-±1;
c Le
[[-r,-(=j]er(3.l%
r
• % c
r
LE • 9.
c ( e,
e.-'
.r o 'Pr -e.) a.'J
' P% Cr LE (e. +e.) »
% r
r
Thisr isr Eq.r (1.15).
, TE
A'= J LE
(-prsin0+rt,rcos@)rds,
TE
+
f LE
(p,rsin9r+rt,rcos0)rds, (8)
Ca= ]_
C
r Jrrr r (c
LE P%
-cr )r
P
dy+ _!_r -frcr (crf
r
C 0 0
-c fl )r dx'
Thisr isrEq.r (1.16).
Mt=['[(cos0r+sin0x-(,rsin0-r,rcos0)y]r ds,
LE
TE
[-p,rcos0r+t,rsin~)xr+r(p,r sin9r+rt,cos0)y]rds,
+ J LE
Ma= f" t-Pxad-j" @+ xdy
LE
r
·
r
LE
+,
+f" ts.-Ply+j" c+,yd
LE
r r
LE
Divider byr qc:
Me.1"
.e e? ue
-p"')-(Pe
[( Pur
9.
-p..,)]xdx--;-J:(�+�)xdy
r
%
r r
c
r
• •
2