Orifice Meter Problem 2 - Fluid Dynamics - Fluid Mechanics 1 | Summary and Q&A

TL;DR

This video explains how to calculate the flow rate of oil through an orifice meter, considering parameters such as orifice diameter, pipe diameter, pressure difference, and specific gravity.

Key Insights

• 🤒 The orifice meter problem involves determining the flow rate of oil through an orifice in a pipe.
• ❓ Calculations require considering parameters such as orifice diameter, pipe diameter, pressure difference, specific gravity, and coefficient of discharge.
• ☠️ Formulas for height difference, areas of the orifice and pipe, and the final flow rate are used to solve the problem.

Transcript

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Questions & Answers

Q: What is the problem statement for the orifice meter?

The problem involves an orifice meter with a 15 cm diameter orifice inserted in a 30 cm diameter pipe. The pressure difference measured is 50 cm.

Q: What should be used to calculate the height difference in the orifice meter problem?

Instead of using the pressure difference, the height difference formula, h = x * (specific gravity of mercury / specific gravity of oil - 1), should be used.

Q: How are the areas of the orifice and pipe calculated?

The area of the orifice is calculated using the formula A = (π/4) * d^2, where d is the diameter. The area of the pipe is calculated similarly.

Q: What are the steps to calculate the flow rate of oil?

The flow rate can be calculated using the formula q = cd * a0 * a1 * sqrt(2 * g * h) / sqrt(a1^2 - a0^2). Substitute the calculated values of a0, a1, cd, g, and h into the formula to obtain the flow rate.

Summary & Key Takeaways

• The problem involves an orifice meter with a 15 cm diameter orifice inserted in a 30 cm diameter pipe. The pressure difference measured by differential manometers gives a reading of 50 cm.

• The goal is to find the flow rate of oil through the orifice, given that the specific gravity of oil is 0.9 and the coefficient of discharge is 0.64.

• Formulas are used to calculate variables such as the height difference, areas of the orifice and pipe, and ultimately, the flow rate of the oil.