How Is Total Volumetric Flow Rate Determined in Gas Mixtures?

In summary, the conversation discusses an ignition system that involves a mixture of gases being released into atmospheric pressure at a temperature of 200 degrees C. The mixture consists mainly of nitrogen and propane, with the percentage of propane ranging from 5 to 15%. The total volumetric flow rate at the outlet is calculated by summing the individual volumetric flow rates of the gases weighted by their mass fractions, as opposed to using Amagat's law which only applies in an equilibrium state.
  • #1
Vyaas
1
0
Hi. I'm currently working with an ignition system that involves the outlet of a mixture of gases into atmospheric pressure.(the temperature just at the exit is assumed to be 200 degrees C).

Nitrogen is the predominant component. Propane is mixed well before the exit with this nitrogen and heated to about 200 degrees C. The percentage of propane in nitrogen ranges from 5 to 15%. Both components are fed into a Tee via individual sonic nozzles.

Somewhere in our calculations we encounter the "total volumetric flow rate" at the outlet.
Which of these statements is true?

1)The total volumetric flow rate is equal to the sum of the individual volumetric flow-rates of the gases (propane and nitrogen) weighted by their mass fractions.

2)The mixture "sees" atmospheric pressure at the exit and since all the components are at the same temperature, we can use Amagat's law, which says that the volumetric flowrates are summed up (without any weighting) to give the total volumetric flowrate.
 
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  • #2
The correct answer is 1). The total volumetric flow rate is equal to the sum of the individual volumetric flow-rates of the gases (propane and nitrogen) weighted by their mass fractions. Amagat's law only applies when the mixture is at an equilibrium state, which is not necessarily the case in this ignition system.
 

1. What is flow rate and why is it important?

The flow rate is the volume of fluid that passes through a specific point in a given amount of time. It is an important measurement in various industries, such as engineering, medicine, and environmental science, as it helps determine the efficiency and effectiveness of a system or process.

2. How is flow rate different from flow velocity?

Flow rate and flow velocity are often used interchangeably, but they are not the same. Flow rate is a measure of volume over time, while flow velocity is the speed of the fluid at a specific point. Flow rate takes into account the size of the pipe or channel, while flow velocity does not.

3. What factors can affect flow rate?

There are several factors that can affect flow rate, including the size and shape of the pipe or channel, the viscosity of the fluid, and any obstacles or restrictions in the flow path. Temperature, pressure, and gravity can also impact flow rate.

4. How is flow rate measured?

Flow rate can be measured using various techniques, such as using a flow meter, measuring the change in volume over time, or using a pitot tube to measure the flow velocity and then calculating the flow rate. The most appropriate method will depend on the specific application and the accuracy required.

5. How can confusion over flow rates be avoided?

To avoid confusion over flow rates, it is important to clearly define the parameters and units being used, as well as any assumptions or limitations. It is also helpful to double-check calculations and use multiple measurement methods to verify results. Consulting with experts or referring to established standards and guidelines can also help clarify any confusion.

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