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Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.
Correct answer is between '0.43,0.45'. Can you explain this answer?
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Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid i...
The steam tubes are located in the boiler house where the ambient air is stationary. The situation corresponds to that of free convection for which the following correlation is given.
Since both the tubes are at the same temperature and are exposed to the same ambient conditions, the relevant fluid properties are same for both.
Since both the tubes are at the same temperature and are exposed to the same ambient conditions, the relevant fluid properties are same for both.
Most Upvoted Answer
Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid i...
To find the temperature difference between the two tubes, we can use the concept of thermal resistance. The thermal resistance of a tube can be calculated using the formula:
R = (ln(r2/r1))/(2 * π * L * k)
Where:
R = thermal resistance
r2 = outer radius of the tube (in this case, 15/2 = 7.5 cm = 0.075 m)
r1 = inner radius of the tube (in this case, 5/2 = 2.5 cm = 0.025 m)
L = length of the tube
k = thermal conductivity of the material
Since the tubes are identical except for their diameters, we can assume they have the same thermal conductivity. Let's assume this value is k = 0.1 W/(m*K) for simplicity.
Let's also assume the length of the tubes is L = 1 m for simplicity.
Now we can calculate the thermal resistance for each tube:
R1 = (ln(0.075/0.025))/(2 * π * 1 * 0.1) = 0.0144 K/W
R2 = (ln(0.075/0.025))/(2 * π * 1 * 0.1) = 0.0144 K/W
Since the tubes are at the same surface temperature, the heat flow through each tube is proportional to the inverse of its thermal resistance:
Q1/Q2 = R2/R1
Let's assume the heat flow through the smaller tube is Q1 = 1 unit for simplicity. We can then calculate the heat flow through the larger tube:
Q2 = Q1 * (R2/R1) = 1 * (0.0144/0.0144) = 1 unit
Therefore, the temperature difference between the two tubes is zero. Both tubes have the same surface temperature of 500 °C.
R = (ln(r2/r1))/(2 * π * L * k)
Where:
R = thermal resistance
r2 = outer radius of the tube (in this case, 15/2 = 7.5 cm = 0.075 m)
r1 = inner radius of the tube (in this case, 5/2 = 2.5 cm = 0.025 m)
L = length of the tube
k = thermal conductivity of the material
Since the tubes are identical except for their diameters, we can assume they have the same thermal conductivity. Let's assume this value is k = 0.1 W/(m*K) for simplicity.
Let's also assume the length of the tubes is L = 1 m for simplicity.
Now we can calculate the thermal resistance for each tube:
R1 = (ln(0.075/0.025))/(2 * π * 1 * 0.1) = 0.0144 K/W
R2 = (ln(0.075/0.025))/(2 * π * 1 * 0.1) = 0.0144 K/W
Since the tubes are at the same surface temperature, the heat flow through each tube is proportional to the inverse of its thermal resistance:
Q1/Q2 = R2/R1
Let's assume the heat flow through the smaller tube is Q1 = 1 unit for simplicity. We can then calculate the heat flow through the larger tube:
Q2 = Q1 * (R2/R1) = 1 * (0.0144/0.0144) = 1 unit
Therefore, the temperature difference between the two tubes is zero. Both tubes have the same surface temperature of 500 °C.
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Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. Can you explain this answer?
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Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. 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 Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. 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 Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. Can you explain this answer?.
Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. 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 Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. 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 Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. Can you explain this answer?.
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Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. Can you explain this answer?, a detailed solution for Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. Can you explain this answer? has been provided alongside types of Two horizontal steam tubes with diameters 5 cm and 15 cm are so laid in a boiler house that any mutual heat effect is precluded. The tubes are at the same surface temperature of 500°C while the ambient air is at 50° C. Work out the ratios of the heat loss rates from one meter length of the tubes. Given Nu = C(Gr x Pr)0.25 where C is a constant. Predict your answer correct upto two decimal places.Correct answer is between '0.43,0.45'. Can you explain this answer? theory, EduRev gives you an
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