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he drag characteristics of a torpedo are to be studied in a water tunnel using a 1 : 7 scale model. The tunnel operates with freshwater at 20 ˚C, whereas the prototype torpedo is to be used in seawater at 15.6 ˚C. To correctly simulate the behavior of the prototype moving with a velocity of 53 m/s, what velocity is required in the water tunnel?

Respuesta :

Answer:20.03 m/s

Explanation:

Given

[tex]L_r=1:7[/tex]

velocity of Prototype [tex]v_p=53 m/s[/tex]

Taking Froude number same for both flow as it is a dimensionless number for different flow regimes in open Flow

[tex](\frac{v_m}{\sqrt{L_mg}})=(\frac{v_p}{\sqrt{L_pg}})[/tex]

[tex]v_m=v_p\times \sqrt{\frac{L_m}{L_p}}[/tex]

[tex]v_m=53\times \frac{1}{\sqrt{7}}[/tex]

[tex]v_m=20.03 m/s[/tex]

           

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