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Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.
Correct answer is between '0.17,0.175'. Can you explain this answer?
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Forced air flows over the surface of heat exchanger in a room heater, ...
The convective heat transfer rate from a solid surface to the surrounding fluid is given by Newton’s law of cooling Q = h A(ts - tf)
Substituting the given data, we obtain 8.8 = 1.136 A(65 - 20)
Therefore heat exchanger surface area,
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Forced air flows over the surface of heat exchanger in a room heater, ...
Solution:
Given data:
Convective heat transfer coefficient, h = 1.136 kW/m2K
Surface temperature of heat exchanger, Ts = ?
Ambient temperature, Ta = 20°C
Heat to be transferred, Q = 8.8 kW
Surface area of heat exchanger, A = ?
Formula:
The rate of heat transfer by convection is given by the formula:
Q = h × A × (Ts - Ta)
Rearranging the above formula, we get:
A = Q / (h × (Ts - Ta))
Calculation:
We are given the convective heat transfer coefficient as 1.136 kW/m2K.
Let us assume the surface temperature of the heat exchanger to be 80°C.
So, Ts = 80 + 273 = 353 K
Substituting the given values in the formula, we get:
A = 8.8 / (1.136 × (353 - 293))
A = 0.1749 m2
Therefore, the required surface area of heat exchanger for 8.8 kW of heating is 0.1749 m2, which is between 0.17 and 0.175 as given in the question.
Conclusion:
The surface area required for a heat exchanger in a room heater can be calculated using the convective heat transfer coefficient and the amount of heat to be transferred. In this case, the required surface area is found to be 0.1749 m2.
Given data:
Convective heat transfer coefficient, h = 1.136 kW/m2K
Surface temperature of heat exchanger, Ts = ?
Ambient temperature, Ta = 20°C
Heat to be transferred, Q = 8.8 kW
Surface area of heat exchanger, A = ?
Formula:
The rate of heat transfer by convection is given by the formula:
Q = h × A × (Ts - Ta)
Rearranging the above formula, we get:
A = Q / (h × (Ts - Ta))
Calculation:
We are given the convective heat transfer coefficient as 1.136 kW/m2K.
Let us assume the surface temperature of the heat exchanger to be 80°C.
So, Ts = 80 + 273 = 353 K
Substituting the given values in the formula, we get:
A = 8.8 / (1.136 × (353 - 293))
A = 0.1749 m2
Therefore, the required surface area of heat exchanger for 8.8 kW of heating is 0.1749 m2, which is between 0.17 and 0.175 as given in the question.
Conclusion:
The surface area required for a heat exchanger in a room heater can be calculated using the convective heat transfer coefficient and the amount of heat to be transferred. In this case, the required surface area is found to be 0.1749 m2.
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Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.Correct answer is between '0.17,0.175'. Can you explain this answer?
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Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.Correct answer is between '0.17,0.175'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.Correct answer is between '0.17,0.175'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.Correct answer is between '0.17,0.175'. Can you explain this answer?.
Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.Correct answer is between '0.17,0.175'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.Correct answer is between '0.17,0.175'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.Correct answer is between '0.17,0.175'. Can you explain this answer?.
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