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The oil pan of 1.6 engine approximates a flat plate 0.3 m wide by 0.45 m long and protrudes below the framework of the automobile. The engine oil is at 95 degree Celsius and the ambient air temperature is 35 degree Celsius. If the automobile runs at 36 km/hr, make calculations for the rate of heat transfer from the oil-pan surface. Assume negligible resistance to conduction through the oil pan
  • a)
    190.37 W
  • b)
    180.37 W
  • c)
    170.37 W
  • d)
    160.37 W
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The oil pan of 1.6 engine approximates a flat plate 0.3 m wide by 0.45...
Q = h A d t, where h = (Nu) (k)/l and Nu = 0.664 (Re) 0.5 (Pr).33.
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The oil pan of 1.6 engine approximates a flat plate 0.3 m wide by 0.45...
Given data:
Oil pan dimensions: width = 0.3 m, length = 0.45 m
Oil temperature (Toil) = 95°C
Ambient air temperature (Tair) = 35°C
Velocity of the automobile (V) = 36 km/hr

Calculations:
1. Calculate the average surface temperature of the oil pan:
Tavg = (Toil + Tair) / 2
Tavg = (95 + 35) / 2
Tavg = 65°C
2. Calculate the average heat transfer coefficient (h) for natural convection:
h = 5.7 + 3.8V^0.6
h = 5.7 + 3.8(36/3.6)^0.6
h = 5.7 + 3.8(10)^0.6
h = 5.7 + 3.8(3.162)
h = 5.7 + 11.99
h = 17.69 W/(m^2·K)
3. Calculate the rate of heat transfer (Q) from the oil pan surface:
Q = h * A * ΔT
Q = 17.69 * 0.3 * 0.45 * (95 - 35)
Q = 17.69 * 0.135 * 60
Q = 170.37 W
Therefore, the rate of heat transfer from the oil-pan surface is 170.37 W, which is closest to option 'C'.
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The oil pan of 1.6 engine approximates a flat plate 0.3 m wide by 0.45 m long and protrudes below the framework of the automobile. The engine oil is at 95 degree Celsius and the ambient air temperature is 35 degree Celsius. If the automobile runs at 36 km/hr, make calculations for the rate of heat transfer from the oil-pan surface. Assume negligible resistance to conduction through the oil pana)190.37 Wb)180.37 Wc)170.37 Wd)160.37 WCorrect answer is option 'C'. Can you explain this answer?
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