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The inside and outside heat transfer coefficient of a fluid across a brick wall of 150 cm thickness and thermal conductivity of 0.10 W/mK are 30 W/m2K. The overall heat transfer coefficient (W/m2K) will be closer to
  • a)
    the inverse of heat transfer coefficient
  • b)
    heat transfer coefficient
  • c)
    Thermal conductivity of brick
  • d)
    Inverse of thermal conductivity of brick
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The inside and outside heat transfer coefficient of a fluid across a b...
Given:
h1 = h2 = 30 W/m2K
L = 15 cm = 0.15 m
k = 0.10 W/mK
The overall heat transfer coefficient, U:
U = 15/226 = 0.07 W/m2K
U ≈ 0.1 ≈ k
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Most Upvoted Answer
The inside and outside heat transfer coefficient of a fluid across a b...
Overall Heat Transfer Coefficient

The overall heat transfer coefficient (U) represents the combined effect of the inside and outside heat transfer coefficients and the thermal resistance of the brick wall. It is a measure of the ability of a material or system to transfer heat.

Given Data
- Thickness of the brick wall (L) = 150 cm = 1.5 m
- Thermal conductivity of the brick (k) = 0.10 W/mK
- Inside and outside heat transfer coefficient (hi and ho) = 30 W/m²K

Calculation
The overall heat transfer coefficient (U) can be calculated using the formula:

1/U = 1/hi + L/k + 1/ho

Substituting the given values:

1/U = 1/30 + 1.5/0.10 + 1/30

Simplifying the equation:

1/U = 0.0333 + 15 + 0.0333

1/U = 15.0666

U = 1/15.0666

U ≈ 0.0664 W/m²K

Analysis
Comparing the options given:
a) The inverse of the heat transfer coefficient is 1/30 which is not equal to the overall heat transfer coefficient calculated.
b) The heat transfer coefficient is given as 30 W/m²K which is not equal to the overall heat transfer coefficient calculated.
c) The thermal conductivity of the brick is given as 0.10 W/mK which is not equal to the overall heat transfer coefficient calculated.
d) The inverse of the thermal conductivity of the brick is 1/0.10 which is equal to the overall heat transfer coefficient calculated.

Therefore, the correct answer is option 'd' - the inverse of the thermal conductivity of the brick.
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The inside and outside heat transfer coefficient of a fluid across a brick wall of 150 cm thickness and thermal conductivity of 0.10 W/mK are 30 W/m2K. The overall heat transfer coefficient (W/m2K) will be closer toa)the inverse of heat transfer coefficientb)heat transfer coefficientc)Thermal conductivity of brickd)Inverse of thermal conductivity of brickCorrect answer is option 'C'. Can you explain this answer?
Question Description
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