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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 ËšC, whereas the prototype torpedo is to be used in seawater at 15.6 ËšC. 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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