hen the submarine is on the surface, its ballast tanks are filled with air. As the submarine dives, the ballast tanks are flooded with water and the air in the ballast tanks is vented from the submarine. The submarine descends from sea level and holds at a constant depth of 3,500m. Background Information Submarine Volume is 450 m3 Mass (excluding weight in ballast tank) is 400 tons Outer haul Mass is 40 tons Thickness is 15 cm Exterior surface area is 200 m2 Specific heat capacity is 420 J/kg/K Latent heat of fusion is 250 kJ/kg Temperature at surface (depth of 0 m) is 25°C depth of 3,500 m internal of the outer haul (

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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When the submarine is on the surface, its ballast tanks are filled with air. As the submarine dives, the ballast tanks are flooded with water and the air in the ballast tanks is vented from the submarine. The submarine descends from sea level and holds at a constant depth of 3,500m.

Background Information

  • Submarine
    • Volume is 450 m3
    • Mass (excluding weight in ballast tank) is 400 tons
    • Outer haul
      • Mass is 40 tons
      • Thickness is 15 cm
      • Exterior surface area is 200 m2
      • Specific heat capacity is 420 J/kg/K
      • Latent heat of fusion is 250 kJ/kg
      • Temperature at
        • surface (depth of 0 m) is 25°C
        • depth of 3,500 m
          • internal of the outer haul (next to ballast tank) is 10 30°C (Refer to diagram) 
          • external of the outer haul is 10°C (Refer to diagram)
      • Thermal conductivity is 80 kW/m/K
      • Emissivity of 0.9 
    • Ballast Tank at a depth of 3,500 m
      • Temperature at is 30°C

 

  • Seawater 
    • Specific gravity of 1.05
    • Surrounding temperature at a depth of 3,500 m is 4°C
    • Convective heat transfer coefficient for free convection is 75 W/m2/K

 

Calculate the change in heat energy of the submarine’s outer haul, when it descends from the surface to a depth of 3,500m.

Depth of
bottom of
submarine
at 3,500 m
Air at 150 kPa
v?
8 m
Air
10 m
Tank
Hatch Door
10 m/s Opening
30°C
Air at 101.3 kPa
10°C
4°C
Vent
Outer hull
Inner hull
Ballast tank...
Transcribed Image Text:Depth of bottom of submarine at 3,500 m Air at 150 kPa v? 8 m Air 10 m Tank Hatch Door 10 m/s Opening 30°C Air at 101.3 kPa 10°C 4°C Vent Outer hull Inner hull Ballast tank...
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Follow-up Question

Calculate the power of the submarine’s electrical heater needed, to maintain the interior of outer hull at 30°C. The exterior of outer hull is 10°C. (Assume heat of the submarine is only lost across the outer hull)

 

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