Q2 The airflow in large wind tunnels is driven by large fans that exert a thrust force on their support structure. The thrust force, F, on a support structure can be expected to be a function of the density and viscosity of the air, the size of the fan, and the rate at which the fan rotates. Determine a nondimensional functional expression that relates the thrust generated by a fan to the influencing variables. F = f(D, Q, w, p, μ) Quantity Dimension L³T-1 LT-1 L ML-3 ML-¹T-1 ML-¹T-2 MLT-² T-1 Q V D,H,W,I Р μ P LL F (0) E e(=E/m) ML²T-² L²T-²

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q2
The airflow in large wind tunnels is driven by large fans that exert a thrust
force on their support structure. The thrust force, F, on a support structure
can be expected to be a function of the density and viscosity of the air, the
size of the fan, and the rate at which the fan rotates. Determine a
nondimensional functional expression that relates the thrust generated by a
fan to the influencing variables.
F = f(D, Q, w, p, μ)
Quantity Dimension
Q
L³T-1
V
LT-1
D,H,W,I
L
Р
ML-3
μ
ML-¹T-1
ML-¹T-2
MLT-²
T-1
ML²T-²
L²T-²
P
F
(0)
E
e(=E/m)
Transcribed Image Text:Q2 The airflow in large wind tunnels is driven by large fans that exert a thrust force on their support structure. The thrust force, F, on a support structure can be expected to be a function of the density and viscosity of the air, the size of the fan, and the rate at which the fan rotates. Determine a nondimensional functional expression that relates the thrust generated by a fan to the influencing variables. F = f(D, Q, w, p, μ) Quantity Dimension Q L³T-1 V LT-1 D,H,W,I L Р ML-3 μ ML-¹T-1 ML-¹T-2 MLT-² T-1 ML²T-² L²T-² P F (0) E e(=E/m)
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