Fluid Dynamics Pressure Difference

In summary, to find the relative pressure difference in a contraption resembling a long u-shaped test tube with oil (density = .85g/cc) displaced 25mm due to pressure, one would calculate the weight of the substance on the high side that is above the oil on the low side and divide it by the area of the base of the oil column.
  • #1
if you are given that a pressure displaces an oil (density = .85g/cc) 25mm in a contraption that looks like a long u shaped test tube, how would you find the realitve pressure difference?
 
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  • #2
SNOOTCHIEBOOCHEE said:
if you are given that a pressure displaces an oil (density = .85g/cc) 25mm in a contraption that looks like a long u shaped test tube, how would you find the realitve pressure difference?
I'd probably try to figure out the weight of the on the high side that was higher then the oil on the low side, and divide that by the area of the base of the column of oil
 
  • #3


To find the relative pressure difference, we need to use the equation for pressure, which is P = F/A, where P is the pressure, F is the force, and A is the area. In this case, the force is the weight of the displaced oil and the area is the cross-sectional area of the test tube.

First, we need to calculate the weight of the displaced oil. We can do this by multiplying the density of the oil (0.85 g/cc) by the volume of the displaced oil, which is the cross-sectional area (A) multiplied by the height (25 mm). This gives us the weight of the displaced oil in grams.

Next, we need to calculate the area of the cross-section of the test tube. This can be done by measuring the diameter of the test tube and using the formula for the area of a circle (A = πr^2).

Once we have the weight of the displaced oil and the area of the cross-section of the test tube, we can plug these values into the equation for pressure. This will give us the pressure exerted by the displaced oil in units of grams per square millimeter (g/mm^2).

To find the relative pressure difference, we need to compare this pressure to the pressure of the surrounding environment. This can be done by measuring the pressure of the surrounding air using a pressure gauge or by assuming a standard pressure of 1 atmosphere (101,325 Pa).

The relative pressure difference can then be calculated by subtracting the pressure of the surrounding environment from the pressure exerted by the displaced oil. This will give us the net pressure difference in units of grams per square millimeter (g/mm^2).

In summary, to find the relative pressure difference in this scenario, we need to calculate the weight of the displaced oil, the area of the cross-section of the test tube, and the pressure of the surrounding environment. We can then use these values to calculate the net pressure difference.
 

1. What is fluid dynamics pressure difference?

Fluid dynamics pressure difference refers to the difference in pressure between two points in a fluid flow system. This difference in pressure can be caused by various factors, such as changes in the fluid's velocity, density, or direction of flow. Understanding fluid dynamics pressure difference is crucial in engineering and designing efficient fluid systems.

2. How is fluid dynamics pressure difference calculated?

The calculation of fluid dynamics pressure difference involves using Bernoulli's equation, which states that the total pressure at a point in a fluid system is equal to the sum of the static pressure, dynamic pressure, and potential pressure. The difference in pressure can be calculated by subtracting the total pressure at one point from the total pressure at another point.

3. What is the significance of fluid dynamics pressure difference in everyday life?

Fluid dynamics pressure difference plays a crucial role in many everyday activities and technologies, such as water distribution systems, air conditioning systems, and even the flight of airplanes. Understanding and controlling fluid pressure differences is essential in maintaining the functionality and efficiency of these systems.

4. How does fluid viscosity affect pressure difference?

Fluid viscosity, or the resistance of a fluid to flow, can affect pressure difference by creating friction between the fluid and its surroundings. This friction can cause a decrease in the fluid's velocity and an increase in static pressure, leading to a pressure difference between two points in the fluid system.

5. Can fluid dynamics pressure difference be used to measure fluid flow rate?

Yes, fluid dynamics pressure difference can be used to measure fluid flow rate. This is often done using a device called a Venturi flow meter, which measures the pressure difference between two points in a constriction in the fluid flow system. The greater the pressure difference, the higher the flow rate of the fluid.

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