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A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is?
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A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective...
Solution:
Given data:
- Thermal conductivity of the pipe material, k = 0.5 W/mK
- Convective heat transfer coefficient, h = 300 W/m2K
- Average fluid temperature, T_f = 100 ˚C
- Inner diameter of the pipe, D_i = 3 cm = 0.03 m
- Outer diameter of the pipe, D_o = 4 cm = 0.04 m
- Heat transfer rate per unit pipe length, q = 500 W/m
We need to find the external pipe temperature, T_o.
Heat transfer rate per unit length of the pipe can be calculated using the following formula:
q = 2πkL (T_o - T_f)/(ln(D_o/D_i))
where L is the length of the pipe.
Rearranging the above equation, we get:
T_o = T_f + q ln(D_o/D_i)/(2πkLh)
Substituting the given values, we get:
T_o = 100 + (500 x ln(0.04/0.03))/(2π x 0.5 x L x 300)
T_o = 100 + 12.60/L
Therefore, the external pipe temperature is T_o = 100 + 12.60/L ˚C.
Explanation:
- The given problem is related to heat transfer through a pipe.
- Heat transfer rate per unit length of the pipe is given by q = 2πkL (T_o - T_f)/(ln(D_o/D_i)), where L is the length of the pipe.
- We can rearrange the above equation to find the external pipe temperature T_o.
- Substituting the given values in the equation, we can find the external pipe temperature.
- The external pipe temperature depends on the length of the pipe, as it appears in the denominator of the equation.
- As the length of the pipe increases, the external pipe temperature decreases.
- Therefore, to maintain a constant heat transfer rate, the length of the pipe should be chosen accordingly.
Given data:
- Thermal conductivity of the pipe material, k = 0.5 W/mK
- Convective heat transfer coefficient, h = 300 W/m2K
- Average fluid temperature, T_f = 100 ˚C
- Inner diameter of the pipe, D_i = 3 cm = 0.03 m
- Outer diameter of the pipe, D_o = 4 cm = 0.04 m
- Heat transfer rate per unit pipe length, q = 500 W/m
We need to find the external pipe temperature, T_o.
Heat transfer rate per unit length of the pipe can be calculated using the following formula:
q = 2πkL (T_o - T_f)/(ln(D_o/D_i))
where L is the length of the pipe.
Rearranging the above equation, we get:
T_o = T_f + q ln(D_o/D_i)/(2πkLh)
Substituting the given values, we get:
T_o = 100 + (500 x ln(0.04/0.03))/(2π x 0.5 x L x 300)
T_o = 100 + 12.60/L
Therefore, the external pipe temperature is T_o = 100 + 12.60/L ˚C.
Explanation:
- The given problem is related to heat transfer through a pipe.
- Heat transfer rate per unit length of the pipe is given by q = 2πkL (T_o - T_f)/(ln(D_o/D_i)), where L is the length of the pipe.
- We can rearrange the above equation to find the external pipe temperature T_o.
- Substituting the given values in the equation, we can find the external pipe temperature.
- The external pipe temperature depends on the length of the pipe, as it appears in the denominator of the equation.
- As the length of the pipe increases, the external pipe temperature decreases.
- Therefore, to maintain a constant heat transfer rate, the length of the pipe should be chosen accordingly.
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A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is?
Question Description
A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is? 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 A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is?.
A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is? 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 A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plastic pipe (k = 0.5 w/mK) carries a fluid such that the convective heat transfer coefficient is 300 w/m2k. Average fluid temperature is 100 ˚C. Inner and outer diameter of the pipe is 3 cm and 4 cm respectively. Heat transfer rate per unit pipe length is 500 w/m. The external pipe temperature is?.
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