A model propeller of diameter D = 0.8 m is tested in a wind tunnel at pressure and temperature conditions corresponding to an air density p = 1.2 kg/m³. With the propeller spinning at 2 = 2000 rpm (revolutions per minute), the thrust T was measured at several forward velocities V: V (m/s) Thrust (N) 0 10 20 30 300 275 210 100 Use dimensional analysis to find the dimensionless parameters that govern this data. )¯¯¯¯¯¯¯¯¯¯¯¯¯ Using the data, predict the thrust you would expect for a full-scale propeller of diameter D₁ = 3.0 m, spinning at 1500 rpm (revolutions per minute), at a forward velocity of 45 m/s, and at high-altitude conditions where the air density is 0.6 kg/m³. You may need to interpolate or extrapolate the experimental data.

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Chapter5: Analysis Of Convection Heat Transfer
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7. A model propeller of diameter D = 0.8 m is tested in a wind tunnel at pressure
and temperature conditions corresponding to an air density p = 1.2 kg/m³.
With the propeller spinning at 2000 rpm (revolutions per minute), the
thrust T was measured at several forward velocities V:
=
V (m/s) Thrust (N)
0
10
20
30
300
275
210
100
(a)
Use dimensional analysis to find the dimensionless parameters that
govern this data.
(b)
Using the data, predict the thrust you would expect for a full-scale
propeller of diameter D₁ 3.0 m, spinning at 1500 rpm (revolutions per
minute), at a forward velocity of 45 m/s, and at high-altitude conditions where
the air density is 0.6 kg/m³. You may need to interpolate or extrapolate the
experimental data.
=
Transcribed Image Text:7. A model propeller of diameter D = 0.8 m is tested in a wind tunnel at pressure and temperature conditions corresponding to an air density p = 1.2 kg/m³. With the propeller spinning at 2000 rpm (revolutions per minute), the thrust T was measured at several forward velocities V: = V (m/s) Thrust (N) 0 10 20 30 300 275 210 100 (a) Use dimensional analysis to find the dimensionless parameters that govern this data. (b) Using the data, predict the thrust you would expect for a full-scale propeller of diameter D₁ 3.0 m, spinning at 1500 rpm (revolutions per minute), at a forward velocity of 45 m/s, and at high-altitude conditions where the air density is 0.6 kg/m³. You may need to interpolate or extrapolate the experimental data. =
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