Calculating Volume Flow Rate of Olive Oil at a Processing Plant

In summary, the problem involves finding the volume flow rate of olive oil through a constricted horizontal hose at a processing plant. The density of the olive oil is given and the flow is assumed to be steady and ideal. The change in pressure between the two sections of hose is also provided. To solve the problem, another equation relating pressure to flow rate is needed.
  • #1
Ardec
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Homework Statement


At a processing plant, olive oil of density 875 kg/m3 flows in a horizontal section of hose that constricts from a diameter of 2.92 cm to a diameter of 1.20 cm. Assume steady, ideal flow. What is the volume flow rate if the change in pressure between the two sections of hose is 5.10 kPa?

Homework Equations


A1v1=A2V2

The Attempt at a Solution

 
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  • #2
Ardec said:

Homework Statement


At a processing plant, olive oil of density 875 kg/m3 flows in a horizontal section of hose that constricts from a diameter of 2.92 cm to a diameter of 1.20 cm. Assume steady, ideal flow. What is the volume flow rate if the change in pressure between the two sections of hose is 5.10 kPa?

Homework Equations


A1v1=A2V2

The Attempt at a Solution

You've quoted the continuity equation, but that doesn't tell you anything about what happens to the pressure of the fluid.

You need to find another equation which says something about the pressure of the fluid.
 

FAQ: Calculating Volume Flow Rate of Olive Oil at a Processing Plant

1. What is the formula for calculating volume flow rate of olive oil at a processing plant?

The formula for calculating volume flow rate of olive oil at a processing plant is Q = A * V, where Q is the volume flow rate (in liters per second), A is the cross-sectional area of the pipe or container (in square meters), and V is the velocity of the oil (in meters per second).

2. How do I measure the cross-sectional area of the pipe or container?

The cross-sectional area can be measured by calculating the area of a circle using the diameter of the pipe or container. The formula for the area of a circle is A = π * (d/2)^2, where d is the diameter of the circle.

3. What is the standard unit of measurement for volume flow rate?

The standard unit of measurement for volume flow rate is liters per second (L/s). However, depending on the size of the processing plant, other units such as cubic meters per hour (m^3/h) or gallons per minute (gpm) may also be used.

4. How does the viscosity of olive oil affect the volume flow rate?

The viscosity of olive oil does affect the volume flow rate. As the viscosity of the oil increases, the flow rate decreases. This is because higher viscosity means the oil is thicker and has more resistance to flow through the pipes or containers.

5. Are there any other factors that can affect the volume flow rate of olive oil at a processing plant?

Yes, there are other factors that can affect the volume flow rate of olive oil at a processing plant. These include the pressure and temperature of the oil, the size and condition of the pipes or containers, and any obstructions or blockages in the system. It is important to regularly monitor and maintain these factors to ensure an accurate and consistent volume flow rate.

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