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Forced air flows over a convection heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136 k W/mK. The surface temperature of heat exchanger may be considered constant at 65 degree Celsius, and the air is at 20 degree Celsius. Determine the heat exchanger surface area required for 8.8 k W of heating
  • a)
    0.272 m2
  • b)
    0.472 m2
  • c)
    0.172 m2
  • d)
    0.672 m2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Forced air flows over a convection heat exchanger in a room heater, re...
Q = h A (t – t f). So. A = 0.172 m2.
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Forced air flows over a convection heat exchanger in a room heater, re...
Given:
- Convective heat transfer coefficient (h) = 1.136 kW/m2K
- Surface temperature of the heat exchanger (Ts) = 65°C
- Air temperature (T∞) = 20°C
- Required heating power (Q) = 8.8 kW

Formula:
The rate of convective heat transfer (Qconv) is given by the formula:
Qconv = h × A × (Ts - T∞)

where A is the surface area of the heat exchanger.

Calculation:
We can rearrange the formula to solve for A:
A = Qconv / (h × (Ts - T∞))

Substituting the given values:
A = 8.8 kW / (1.136 kW/m2K × (65 - 20)°C)

Simplifying the equation:
A = 8.8 / (1.136 × 45)
A = 8.8 / 51.12
A ≈ 0.172 m2

Therefore, the heat exchanger surface area required for 8.8 kW of heating is approximately 0.172 m2.

Answer:
The correct answer is option C) 0.172 m2.
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Forced air flows over a convection heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136 k W/m2K. The surface temperature of heat exchanger may be considered constant at 65 degree Celsius, and the air is at 20 degree Celsius. Determine the heat exchanger surface area required for 8.8 k W of heatinga)0.272 m2b)0.472 m2c)0.172 m2d)0.672 m2Correct answer is option 'C'. Can you explain this answer?
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