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Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).
Correct answer is '85.7'. Can you explain this answer?
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Verified Answer
Water flows through a tube of 3 cm internal diameter and length 20 m, ...
h = 1697 W/m2K
From energy balance equation,
Heat flux × Area of HT =
q ′′ × πDL =
q ′′ = 26604.34 W/m2
Applying Newton’s law of cooling at exit
Ttube at exit = 85.67°C
Most Upvoted Answer
Water flows through a tube of 3 cm internal diameter and length 20 m, ...
°C and 40°C, respectively. The thermal conductivity of the tube material is 200 W/m·K. The convective heat transfer coefficient between the water and the tube is 500 W/m²·K.
To calculate the heat transfer rate, we can use the formula:
Q = (h * A * ΔT) + (k * A * ΔT / L)
Where:
Q = heat transfer rate (W)
h = convective heat transfer coefficient (W/m²·K)
A = surface area of the tube (m²)
ΔT = temperature difference between the water and the tube (K)
k = thermal conductivity of the tube material (W/m·K)
L = length of the tube (m)
First, we need to calculate the surface area of the tube. The internal diameter of the tube is 3 cm, which is equal to 0.03 m. The surface area of the tube can be calculated using the formula for the surface area of a cylinder:
A = 2πrL + πr²
Where:
r = internal radius of the tube (m)
Since the internal diameter is 3 cm, the internal radius is 1.5 cm, which is equal to 0.015 m.
A = (2 * π * 0.015 * 20) + (π * 0.015²)
A = 0.942 m²
Next, we need to calculate the temperature difference between the water and the tube. The mean inlet and exit temperatures of the water are 10°C and 40°C, respectively.
ΔT = (T_exit - T_inlet)
ΔT = (40 - 10)
ΔT = 30 K
Now we can calculate the heat transfer rate:
Q = (500 * 0.942 * 30) + (200 * 0.942 * 30 / 20)
Q = 14130 + 2826
Q = 16956 W
Therefore, the heat transfer rate through the tube is 16956 W.
To calculate the heat transfer rate, we can use the formula:
Q = (h * A * ΔT) + (k * A * ΔT / L)
Where:
Q = heat transfer rate (W)
h = convective heat transfer coefficient (W/m²·K)
A = surface area of the tube (m²)
ΔT = temperature difference between the water and the tube (K)
k = thermal conductivity of the tube material (W/m·K)
L = length of the tube (m)
First, we need to calculate the surface area of the tube. The internal diameter of the tube is 3 cm, which is equal to 0.03 m. The surface area of the tube can be calculated using the formula for the surface area of a cylinder:
A = 2πrL + πr²
Where:
r = internal radius of the tube (m)
Since the internal diameter is 3 cm, the internal radius is 1.5 cm, which is equal to 0.015 m.
A = (2 * π * 0.015 * 20) + (π * 0.015²)
A = 0.942 m²
Next, we need to calculate the temperature difference between the water and the tube. The mean inlet and exit temperatures of the water are 10°C and 40°C, respectively.
ΔT = (T_exit - T_inlet)
ΔT = (40 - 10)
ΔT = 30 K
Now we can calculate the heat transfer rate:
Q = (500 * 0.942 * 30) + (200 * 0.942 * 30 / 20)
Q = 14130 + 2826
Q = 16956 W
Therefore, the heat transfer rate through the tube is 16956 W.
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Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).Correct answer is '85.7'. Can you explain this answer?
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Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).Correct answer is '85.7'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).Correct answer is '85.7'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).Correct answer is '85.7'. Can you explain this answer?.
Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).Correct answer is '85.7'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).Correct answer is '85.7'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows through a tube of 3 cm internal diameter and length 20 m, The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are 10°C and 70°C, respectively. The mass flow rate of the water is 720 kg/h. Disregard the thermal resistance of the tube wall. The internal heat transfer coefficient is 1697 W/m2K. Take specific heat Cp of water as 4.179 kJ/kgK. The inner surface temperature at the exit section of the tube is __________ °C (round off to one decimal place).Correct answer is '85.7'. Can you explain this answer?.
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