The Reynolds number expresses the ratio between inertia forces and viscous forces. Hence, For the reynold number of the model to be the same as that of the full scale airplane in air, the velocity in the wind tunnel would be the same as the velocity of the full scale airplane.
The Reynolds number is related using the formula :
Re = ρVD / μ
- Re = Reynolds number ; ρ = density ; V = velocity ; D = pipe diamater ; μ = Fluid viscosity
- In other to obtain the same value Reynolds number value for both the original and model airplane, only the value of density used in the wind tunnel for the model airplane should be changed while other parmaters remain the same.
- The air density used in the wind tunnel would be increased by the factor used for the model airplane, in this case 10.
Therefore, the value of velocity in the wind tunnel has to be the same as the velocity of the original airplane.
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