The drag force experienced by a commercial transport (such as a 787) in cruise depends on its surface area (A), its velocity (V ), the speed of sound (a), the density (ρ) and viscosity (µ) of the fluid, and its angle of attack (α). (a) Express the non-dimensional drag as a function of the other non-dimensional groups. (b) Tests on a model 787 are performed at 1/40th scale. Assume that the speed of sound in the wind tunnel is one-half the speed of sound of the full-scale aircraft. To achieve dynamic similarity in the model test, what would the wind tunnel speed need to be in the model compared to the full-scale prototype? What would the kinematic viscosity of the wind tunnel fluid be compared to air?
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Common Units Of Pressure
Pressure is something that we experience in daily life but fail to recognize it as our body is so accustomed to it. For example, the atmospheric air applies pressure on our body, but we don’t feel it as we are exposed to it since birth and our body is habitual to it. When we write using a pen, we need to apply some pressure over the pen to make it start writing. But these are our day-to-day activity which we fail to recognize
The drag force experienced by a commercial transport (such as a 787) in cruise depends on its surface area (A), its velocity (V ), the speed of sound (a), the density (ρ) and viscosity (µ) of the fluid, and its angle of attack (α).
(a) Express the non-dimensional drag as a function of the other non-dimensional groups.
(b) Tests on a model 787 are performed at 1/40th scale. Assume that the speed of sound in the wind tunnel is one-half the speed of sound of the full-scale aircraft. To achieve dynamic similarity in the model test, what would the wind tunnel speed need to be in the model compared to the full-scale prototype? What would the kinematic viscosity of the wind tunnel fluid be compared to air?
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