2. A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged through water at 0.440 m/s. The water is freshwater (a lake) at T = 15 °C. The design team builds a one-fifth scale model to test in their university's wind tunnel, as shown in the Fig. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25 °C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity? Take for water at T = 15 °C and atmospheric pressure, p = 999.1 kg/m³ and µ = 1.138 × 10-³ Pa.s. Take for air at T = 25 °C and atmospheric pressure, p = 1.184 kg/m³ and µ = 1.849 × 10-³ Pa.s. V Por P Wind tunnel test section Model Shield FD Drag balance Strut

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter5: Analysis Of Convection Heat Transfer
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Problem 5.8P
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2. A student team is to design a human-powered submarine for a design competition. The overall
length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully
submerged through water at 0.440 m/s. The water is freshwater (a lake) at T = 15 °C. The design
team builds a one-fifth scale model to test in their university's wind tunnel, as shown in the Fig. A
shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not
influence the measured drag. The air in the wind tunnel is at 25 °C and at one standard atmosphere
pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity?
Take for water at T = 15 °C and atmospheric pressure, p = 999.1 kg/m³ and µ = 1.138 × 10-³ Pa.s.
Take for air at T = 25 °C and atmospheric pressure, p = 1.184 kg/m³ and µ = 1.849 × 10-³ Pa.s.
V
Por P
Wind tunnel test section
Model
Shield
FD
Drag balance
Strut
Transcribed Image Text:2. A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged through water at 0.440 m/s. The water is freshwater (a lake) at T = 15 °C. The design team builds a one-fifth scale model to test in their university's wind tunnel, as shown in the Fig. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25 °C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity? Take for water at T = 15 °C and atmospheric pressure, p = 999.1 kg/m³ and µ = 1.138 × 10-³ Pa.s. Take for air at T = 25 °C and atmospheric pressure, p = 1.184 kg/m³ and µ = 1.849 × 10-³ Pa.s. V Por P Wind tunnel test section Model Shield FD Drag balance Strut
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