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A 0.10 cm diameter and 15 cm long wire has been laid horizontally and submerged in water at atmospheric pressure. The wire has a steady state voltage drop of 14.5 V and a current of 42.5 A. Determine the heat flux of the wire.
The following equation applies for water boiling on a horizontal submerged surface
H = 1.54 (Q/A) 0.75 = 5.58 (d t) 3 W/mK where Q/A is the heat flux rate in W/m2 and d t is the temperature difference between surface and saturation
  • a)
    1.308 * 10 W/m2
  • b)
    1.308 * 10 W/m2
  • c)
    1.308 * 10 W/m2
  • d)
    1.308 * 10 W/m2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A 0.10 cm diameter and 15 cm long wire has been laid horizontally and ...
Q = E I = 616.25 W and A = 4.71 * 10 -4 m2.
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A 0.10 cm diameter and 15 cm long wire has been laid horizontally and ...
Calculation of Heat Flux of the Wire Submerged in Water

Given data:

- Diameter of wire = 0.10 cm
- Length of wire = 15 cm
- Voltage drop across wire = 14.5 V
- Current through wire = 42.5 A

Formula to calculate power dissipated by the wire:

- Power (P) = V x I
- P = 14.5 V x 42.5 A
- P = 616.25 W

Formula to calculate surface area of the wire:

- Surface area (A) = π x (d/2)^2 x L
- A = π x (0.10/2)^2 x 15
- A = 0.01178 m^2

Formula to calculate heat flux rate:

- Q/A = P/A
- Q/A = 616.25 W/0.01178 m^2
- Q/A = 52,290.61 W/m^2

Formula to calculate temperature difference between wire surface and saturation:

- d t = (P/H x A)^0.25
- d t = (52,290.61/5.58)^0.75
- d t = 38.78 K

Formula to calculate heat flux:

- H = 5.58 x (d t)^3
- H = 5.58 x (38.78)^3
- H = 1.308 x 10^6 W/m^2

Therefore, the heat flux of the wire submerged in water is 1.308 x 10^6 W/m^2, which is option C.
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A 0.10 cm diameter and 15 cm long wire has been laid horizontally and submerged in water at atmospheric pressure. The wire has a steady state voltage drop of 14.5 V and a current of 42.5 A. Determine the heat flux of the wire.The following equation applies for water boiling on a horizontal submerged surfaceH = 1.54 (Q/A)0.75= 5.58 (d t)3W/m2K where Q/A is the heat flux rate in W/m2and d t is the temperature difference between surface and saturationa)1.308 * 108W/m2b)1.308 * 107W/m2c)1.308 * 106W/m2d)1.308 * 105W/m2Correct answer is option 'C'. Can you explain this answer?
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