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In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss?
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In a smooth pipe of uniform Diameter 120cm, it is recorded that sectio...
**Direction of Flow between Section A and B**
To determine the direction of flow between section A and B, we need to compare the pressures at the two sections. According to Bernoulli's principle, the pressure in a fluid decreases as its velocity increases. Therefore, the fluid will flow from higher pressure to lower pressure.
In this case, section A has a pressure of 50 kPa, and section B has a pressure of 30 kPa. Since the pressure at section A is higher than at section B, the fluid will flow from section A to section B.
**Total Head Loss**
Head loss is the energy loss in a fluid flow system due to friction, changes in elevation, and other factors. To calculate the total head loss, we need to consider the head loss due to elevation change and the head loss due to friction.
1. Head Loss due to Elevation Change:
The elevation of section A is 20 m, and the elevation of section B is 15 m. The head loss due to elevation change can be calculated using the equation:
Head Loss = (Elevation at A - Elevation at B) = 20 m - 15 m = 5 m
2. Head Loss due to Friction:
The flow rate through the pipe is given as 12 m^3/s. To calculate the head loss due to friction, we can use the Darcy-Weisbach equation:
Head Loss = (friction factor * pipe length * velocity^2) / (2 * pipe diameter)
Since the pipe is smooth, we can assume a friction factor of 0.04. The pipe diameter is given as 120 cm, which is equal to 1.2 m. The pipe length is not provided in the question, so we cannot calculate the exact head loss due to friction without this information.
However, we can still determine the relative magnitude of the head loss due to friction compared to the head loss due to elevation change. The head loss due to friction is typically much smaller than the head loss due to elevation change.
**Conclusion**
The fluid will flow from section A to section B due to the pressure difference. The total head loss in the system is composed of the head loss due to elevation change and the head loss due to friction. The head loss due to elevation change is 5 m, and the head loss due to friction can be calculated using the Darcy-Weisbach equation with the provided flow rate, pipe diameter, and friction factor.
To determine the direction of flow between section A and B, we need to compare the pressures at the two sections. According to Bernoulli's principle, the pressure in a fluid decreases as its velocity increases. Therefore, the fluid will flow from higher pressure to lower pressure.
In this case, section A has a pressure of 50 kPa, and section B has a pressure of 30 kPa. Since the pressure at section A is higher than at section B, the fluid will flow from section A to section B.
**Total Head Loss**
Head loss is the energy loss in a fluid flow system due to friction, changes in elevation, and other factors. To calculate the total head loss, we need to consider the head loss due to elevation change and the head loss due to friction.
1. Head Loss due to Elevation Change:
The elevation of section A is 20 m, and the elevation of section B is 15 m. The head loss due to elevation change can be calculated using the equation:
Head Loss = (Elevation at A - Elevation at B) = 20 m - 15 m = 5 m
2. Head Loss due to Friction:
The flow rate through the pipe is given as 12 m^3/s. To calculate the head loss due to friction, we can use the Darcy-Weisbach equation:
Head Loss = (friction factor * pipe length * velocity^2) / (2 * pipe diameter)
Since the pipe is smooth, we can assume a friction factor of 0.04. The pipe diameter is given as 120 cm, which is equal to 1.2 m. The pipe length is not provided in the question, so we cannot calculate the exact head loss due to friction without this information.
However, we can still determine the relative magnitude of the head loss due to friction compared to the head loss due to elevation change. The head loss due to friction is typically much smaller than the head loss due to elevation change.
**Conclusion**
The fluid will flow from section A to section B due to the pressure difference. The total head loss in the system is composed of the head loss due to elevation change and the head loss due to friction. The head loss due to elevation change is 5 m, and the head loss due to friction can be calculated using the Darcy-Weisbach equation with the provided flow rate, pipe diameter, and friction factor.
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In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss?
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In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss?.
In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss?.
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In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss?, a detailed solution for In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss? has been provided alongside types of In a smooth pipe of uniform Diameter 120cm, it is recorded that section A is having a pressure of 50kpa and a height of 20m. The section B is having an elevation of 15m and its pressure was recorded was 30kpa. The flow rate through the pipe is 12meter cube per sec. Determine the direction of flow between section A and B. What is the total head loss? theory, EduRev gives you an
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