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 InformationSubmarineVolume is 450 m3Mass (excluding weight in ballast tank) is 400 tonsOuter haulMass is 40 tonsThickness is 15 cmExterior surface area is 200 m2Specific heat capacity is 420 J/kg/KLatent heat of fusion is 250 kJ/kgTemperature atsurface (depth of 0 m) is 25°Cdepth of 3,500 minternal 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/KEmissivity of 0.9 Ballast Tank at a depth of 3,500 mTemperature at is 30°C Seawater Specific gravity of 1.05Surrounding temperature at a depth of 3,500 m is 4°CConvective heat transfer coefficient for free convection is 75 W/m2/K Depth ofbottom ofsubmarineat 3,500 mAir at 150 kPav?8 mAir10 mTankHatch Door10 m/s Opening30°CAir at 101.3 kPa10°C4°CVentOuter hullInner hullBallast tank...

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Answered: Depth of bottom of submarine at 3,500 m…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

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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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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