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A 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil is?
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A 15 cm diameter pipe carries a flow of 70 liters per second of an oil...
Calculation of Total Head of Oil in a 15 cm Diameter Pipe
Given:
Diameter of the pipe (D) = 15 cm
Flow rate of oil (Q) = 70 liters per second
Specific gravity of oil (So) = 0.75
Vacuum pressure (Pv) = 2 cm of mercury
Height of section above datum (z) = 12 cm
Kinetic energy correction factor (K) = 1.1
Calculating the Total Head of Oil
1. Velocity of oil (V) = Q / (πD²/4) = 70 / (π × 0.15² / 4) = 2.37 m/s
2. Dynamic pressure of oil (Pd) = 0.5 × So × V² = 0.5 × 0.75 × 2.37² = 1.98 kPa
3. Total pressure of oil (Pt) = Pv + Pd = 2 + 1.98 = 3.98 kPa
4. Total head of oil (Ht) = Pt / (So × 9.81) + z + K × V² / (2 × 9.81) = 3.98 / (0.75 × 9.81) + 0.12 + 1.1 × 2.37² / (2 × 9.81) = 1.62 + 0.12 + 0.63 = 2.37 m
Explanation:
In this problem, we are given the diameter of a pipe, the flow rate of oil, the specific gravity of oil, the vacuum pressure, the height of a section above the datum, and the kinetic energy correction factor. We need to calculate the total head of oil at that section.
To calculate the total head of oil, we first need to find the velocity of oil using the flow rate and diameter of the pipe. We then calculate the dynamic pressure of oil using the velocity and specific gravity of oil. The total pressure of oil is the sum of the dynamic pressure and the vacuum pressure.
Next, we calculate the total head of oil using the total pressure, specific gravity of oil, height of the section above the datum, and the kinetic energy correction factor. The total head of oil is the sum of the pressure head, elevation head, and velocity head.
In this problem, we have a vacuum pressure, which reduces the total pressure of oil. We also have a kinetic energy correction factor, which accounts for the effect of turbulence on the velocity head. The total head of oil is the measure of the energy of oil at that section, which is important in the design and analysis of pipelines.
Given:
Diameter of the pipe (D) = 15 cm
Flow rate of oil (Q) = 70 liters per second
Specific gravity of oil (So) = 0.75
Vacuum pressure (Pv) = 2 cm of mercury
Height of section above datum (z) = 12 cm
Kinetic energy correction factor (K) = 1.1
Calculating the Total Head of Oil
1. Velocity of oil (V) = Q / (πD²/4) = 70 / (π × 0.15² / 4) = 2.37 m/s
2. Dynamic pressure of oil (Pd) = 0.5 × So × V² = 0.5 × 0.75 × 2.37² = 1.98 kPa
3. Total pressure of oil (Pt) = Pv + Pd = 2 + 1.98 = 3.98 kPa
4. Total head of oil (Ht) = Pt / (So × 9.81) + z + K × V² / (2 × 9.81) = 3.98 / (0.75 × 9.81) + 0.12 + 1.1 × 2.37² / (2 × 9.81) = 1.62 + 0.12 + 0.63 = 2.37 m
Explanation:
In this problem, we are given the diameter of a pipe, the flow rate of oil, the specific gravity of oil, the vacuum pressure, the height of a section above the datum, and the kinetic energy correction factor. We need to calculate the total head of oil at that section.
To calculate the total head of oil, we first need to find the velocity of oil using the flow rate and diameter of the pipe. We then calculate the dynamic pressure of oil using the velocity and specific gravity of oil. The total pressure of oil is the sum of the dynamic pressure and the vacuum pressure.
Next, we calculate the total head of oil using the total pressure, specific gravity of oil, height of the section above the datum, and the kinetic energy correction factor. The total head of oil is the sum of the pressure head, elevation head, and velocity head.
In this problem, we have a vacuum pressure, which reduces the total pressure of oil. We also have a kinetic energy correction factor, which accounts for the effect of turbulence on the velocity head. The total head of oil is the measure of the energy of oil at that section, which is important in the design and analysis of pipelines.
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A 15 cm diameter pipe carries a flow of 70 liters per second of an oil...
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A 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil is?
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A 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil 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 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil is?.
A 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil 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 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 15 cm diameter pipe carries a flow of 70 liters per second of an oil (so. get = 0.75). At a section 12 cm above the datum, there is vacuum of 2cm of mercury. If the kinetic energy correction factor for this section is 1.1 the total head at the section of oil is?.
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