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A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimal
point.)
point.)
Important : you should answer only the numeric value
Correct answer is '1.47'. Can you explain this answer?
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A control valve, with a turndown ratio of 50, follows equal percentage...
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A control valve, with a turndown ratio of 50, follows equal percentage...
Given:
- Turndown ratio of the control valve = 50
- Control valve follows equal percentage characteristics
- Flow rate at 40% stem position = 1 m3/h
To find:
- Flow rate at 50% stem position, if the pressure drop across the valve remains unchanged
Solution:
The turndown ratio of a control valve is defined as the maximum flow rate divided by the minimum flow rate that the valve can handle while maintaining a consistent pressure drop. In this case, the turndown ratio is given as 50.
The equal percentage characteristics of the control valve mean that the flow rate will change exponentially with the stem position. This characteristic is commonly used to control flow rates in systems where a small change in the stem position results in a large change in the flow rate.
Step 1: Calculate the maximum and minimum flow rates:
The maximum flow rate can be calculated by multiplying the flow rate at 40% stem position by the turndown ratio:
Maximum flow rate = 1 m3/h * 50 = 50 m3/h
The minimum flow rate can be calculated by dividing the maximum flow rate by the turndown ratio:
Minimum flow rate = Maximum flow rate / Turndown ratio = 50 m3/h / 50 = 1 m3/h
Step 2: Calculate the flow rate at 50% stem position:
The flow rate at any stem position can be calculated using the following formula for equal percentage characteristics:
Flow rate = Minimum flow rate * (Percentage stem position / 100) ^ (1 / Turndown ratio)
where the percentage stem position is expressed as a decimal.
Let's calculate the flow rate at 50% stem position:
Flow rate = 1 m3/h * (50 / 100) ^ (1 / 50) = 1.47 m3/h (rounded to 2 decimal places)
Therefore, the flow rate at 50% stem position, if the pressure drop across the valve remains unchanged, is 1.47 m3/h.
- Turndown ratio of the control valve = 50
- Control valve follows equal percentage characteristics
- Flow rate at 40% stem position = 1 m3/h
To find:
- Flow rate at 50% stem position, if the pressure drop across the valve remains unchanged
Solution:
The turndown ratio of a control valve is defined as the maximum flow rate divided by the minimum flow rate that the valve can handle while maintaining a consistent pressure drop. In this case, the turndown ratio is given as 50.
The equal percentage characteristics of the control valve mean that the flow rate will change exponentially with the stem position. This characteristic is commonly used to control flow rates in systems where a small change in the stem position results in a large change in the flow rate.
Step 1: Calculate the maximum and minimum flow rates:
The maximum flow rate can be calculated by multiplying the flow rate at 40% stem position by the turndown ratio:
Maximum flow rate = 1 m3/h * 50 = 50 m3/h
The minimum flow rate can be calculated by dividing the maximum flow rate by the turndown ratio:
Minimum flow rate = Maximum flow rate / Turndown ratio = 50 m3/h / 50 = 1 m3/h
Step 2: Calculate the flow rate at 50% stem position:
The flow rate at any stem position can be calculated using the following formula for equal percentage characteristics:
Flow rate = Minimum flow rate * (Percentage stem position / 100) ^ (1 / Turndown ratio)
where the percentage stem position is expressed as a decimal.
Let's calculate the flow rate at 50% stem position:
Flow rate = 1 m3/h * (50 / 100) ^ (1 / 50) = 1.47 m3/h (rounded to 2 decimal places)
Therefore, the flow rate at 50% stem position, if the pressure drop across the valve remains unchanged, is 1.47 m3/h.
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A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer?
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A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. 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 A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer?.
A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. 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 A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer?.
Solutions for A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer?, a detailed solution for A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer? has been provided alongside types of A control valve, with a turndown ratio of 50, follows equal percentage characteristics. The flow rate of a liquid through the valve at 40% stem position is 1 m3/h. What will be the flow rate in m3/h at 50% stem position, if the pressure drop across the valve remains unchanged? (Up to 2 digits after the decimalpoint.)Important : you should answer only the numeric valueCorrect answer is '1.47'. Can you explain this answer? theory, EduRev gives you an
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