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An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall?
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An aluminum rod 2cm in diameter andb20cm long protrudes from a wall wh...
Heat Loss Calculation from an Aluminum Rod
Given Parameters:
- Diameter of aluminum rod = 2 cm
- Length of aluminum rod = 20 cm
- Wall temperature = 300°C
- Air temperature = 30°C
- Heat transfer coefficient between rod surface and air = 10 W/m²K
- Distance of interest from wall = 10 cm
Calculating Heat Transfer Coefficient:
The heat transfer coefficient between the surface of the aluminum rod and air can be calculated using the formula:
h = k / L
where,
h = Heat transfer coefficient (W/m²K)
k = Thermal conductivity of aluminum (237 W/mK)
L = Characteristic length (Diameter of aluminum rod) = 0.02 m
Therefore,
h = 237 / 0.02 = 11850 W/m²K
Calculating Heat Loss:
The heat loss from the aluminum rod can be calculated using the formula:
Q = h * A * ΔT
where,
Q = Heat loss (W)
A = Surface area of aluminum rod (m²)
ΔT = Temperature difference between rod surface and air (K)
Surface area of aluminum rod can be calculated using the formula:
A = π * D * L
where,
π = 3.14
D = Diameter of aluminum rod = 0.02 m
L = Length of aluminum rod = 0.2 m
Therefore,
A = 3.14 * 0.02 * 0.2 = 0.01256 m²
Temperature difference between rod surface and air at a distance of 10 cm from the wall can be calculated using the formula:
ΔT = (Tw - Ta) / ln (Rw / Ra)
where,
Tw = Wall temperature = 300°C = 573K
Ta = Air temperature = 30°C = 303K
Rw = Distance of rod surface from wall = 0.02 m
Ra = Distance of rod surface from air = 0.1 m
Therefore,
ΔT = (573 - 303) / ln (0.02 / 0.1) = 77.03K
Substituting the values in the formula for heat loss, we get:
Q = 11850 * 0.01256 * 77.03 = 114.9 W
Therefore, the heat loss by the temperature of the aluminum rod at a distance of 10 cm from the wall is 114.9 W.
Given Parameters:
- Diameter of aluminum rod = 2 cm
- Length of aluminum rod = 20 cm
- Wall temperature = 300°C
- Air temperature = 30°C
- Heat transfer coefficient between rod surface and air = 10 W/m²K
- Distance of interest from wall = 10 cm
Calculating Heat Transfer Coefficient:
The heat transfer coefficient between the surface of the aluminum rod and air can be calculated using the formula:
h = k / L
where,
h = Heat transfer coefficient (W/m²K)
k = Thermal conductivity of aluminum (237 W/mK)
L = Characteristic length (Diameter of aluminum rod) = 0.02 m
Therefore,
h = 237 / 0.02 = 11850 W/m²K
Calculating Heat Loss:
The heat loss from the aluminum rod can be calculated using the formula:
Q = h * A * ΔT
where,
Q = Heat loss (W)
A = Surface area of aluminum rod (m²)
ΔT = Temperature difference between rod surface and air (K)
Surface area of aluminum rod can be calculated using the formula:
A = π * D * L
where,
π = 3.14
D = Diameter of aluminum rod = 0.02 m
L = Length of aluminum rod = 0.2 m
Therefore,
A = 3.14 * 0.02 * 0.2 = 0.01256 m²
Temperature difference between rod surface and air at a distance of 10 cm from the wall can be calculated using the formula:
ΔT = (Tw - Ta) / ln (Rw / Ra)
where,
Tw = Wall temperature = 300°C = 573K
Ta = Air temperature = 30°C = 303K
Rw = Distance of rod surface from wall = 0.02 m
Ra = Distance of rod surface from air = 0.1 m
Therefore,
ΔT = (573 - 303) / ln (0.02 / 0.1) = 77.03K
Substituting the values in the formula for heat loss, we get:
Q = 11850 * 0.01256 * 77.03 = 114.9 W
Therefore, the heat loss by the temperature of the aluminum rod at a distance of 10 cm from the wall is 114.9 W.
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An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall?
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An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall?.
An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aluminum rod 2cm in diameter andb20cm long protrudes from a wall which is maintained at 300c.the end of the rod is insulated and the surfaces of rod is exposed to air at 30c. The heat transfer coefficient between the rod surface and air is 10w/m2k.calculate the heat loss by the temperature of the rod at a distance of 10 cm from the wall?.
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