Problem 2.91
[Difficulty: 3]
Given:
Data on airliner
Find:
Sketch of speed versus altitude (M = const)
Solution:
Data on temperature versus height can be obtained from Table A.3
At 5.5 km the temperature is approximately
252
K
The speed of sound is obtained from
where
k
= 1.4
R
= 286.9
J/kg
·
K
(Table A.6)
c
= 318
m/s
We also have
V
= 700
km/hr
or
V
= 194
m/s
Hence
M
=
V/c
or
M
= 0.611
To compute
V
for constant
M
, we use
V
=
M
·
c
= 0.611
·
c
At a height of 8 km:
V
= 677
km/hr
NOTE:
Realistically, the aiplane will fly to a maximum height of about 10 km!
z (km)
T (K)
c (m/s)
V (km/hr)
4
262
325
713
5
259
322
709
5
256
320
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Fluid Mechanics

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