Venturi meter - Problem 4 - Fluid Dynamics - Fluid Mechanics 1

TL;DR

The video discusses the analysis of a problem on a vertically-oriented Venturi meter, finding the pressure difference between the inlet and throat.

Transcript

hello friends here in this video we'll see the problem on venturi meter for that here is a question a venturi meter has its axis vertical the inlet and throat diameters being 150 mm and 75 mm respectively the throat is 225 mm above inlet and venturi meter constant is 0.96 petrol of specific gravity 0.78 flows up the meter so the flowing fluid is pe... Read More

Key Insights

• 🤒 The problem involves analyzing a Venturi meter with a vertical axis and finding the pressure difference between the inlet and throat.
• 💐 Specific details such as dimensions, fluid properties, and flow direction are provided.
• ❓ Calculations involve determining the actual discharge using the coefficient of discharge and theoretical discharge.
• 🤕 The difference in isometric head is used to find the pressure difference between the inlet and throat.

Questions & Answers

Q: What are the dimensions and properties of the Venturi meter in the given problem?

The Venturi meter has a vertical axis, with an inlet diameter of 150 mm, a throat diameter of 75 mm, and a height difference of 225 mm between the inlet and throat. The fluid flowing through the meter is petrol, with a specific gravity of 0.78.

Q: How is the actual discharge calculated in the problem?

The actual discharge is calculated using the equation Q_actual = Cd * Q_theoretical, where Cd is the coefficient of discharge and Q_theoretical is the theoretical discharge given by the equation A1 * A2 * sqrt(2gh) / sqrt(A1^2 - A2^2). The given values for Cd, A1, and A2 are used to find the actual discharge.

Q: How is the pressure difference between the inlet and throat found in the problem?

The pressure difference is found by determining the difference in isometric head (h) between the inlet and throat. This is done by equating the difference in potential and pressure heads to the difference in piezometric head (h = p1 - p2) and rearranging the equation to solve for p1 - p2.

Q: What is the final pressure difference between the inlet and throat in the problem?

The final pressure difference between the inlet and throat is calculated to be 18.71 kilopascals (kPa) using the given values for fluid density, height difference, and acceleration due to gravity.

Summary & Key Takeaways

• The problem involves a Venturi meter with a vertical axis, given inlet and throat diameters, a certain height difference between the inlet and throat, and various fluid properties.

• The solution involves calculating the actual discharge, finding the difference in isometric head, and using the fluid density to determine the pressure difference between the inlet and throat.

• The pressure difference is calculated to be 18.71 kilopascals.