Pneumatic Conveying: Calculating Flow Rate of Cement

[princessme]

I have a question on pneumatic conveying. For a certain material such as cement, given that I already pipelines designed at certain dimensions (say 6"). Available air pressure is approximately 10 bar g. If the cement needs to be transferred from a tank to a vessel, how do I go about calculating the flow rate of cement into the vessel? Can anyone guide me on how to begin solving such a problem? Thank you.

 

[_coyote_]

To calculate the flow rate of cement into a vessel with an available air pressure of 10 bar g, you can use the Bernoulli equation. The Bernoulli equation states that the sum of the static pressure (P), dynamic pressure (1/2ρv2) and the potential energy (ρgz) is constant along a streamline.The first step is to determine the static pressure at the inlet and outlet of the pipeline. This can be done using the Ideal Gas Law, which states that P1V1/T1=P2V2/T2, where P1 and P2 are the respective static pressures at the inlet and outlet, V1 and V2 are the respective volumes, and T1 and T2 are the respective temperatures.Once the static pressures are determined, the dynamic pressure can be calculated using 1/2ρv2, where ρ is the density of air and v is the velocity of the air. The velocity can then be determined using the mass flow rate of the cement (m) divided by the cross-sectional area of the pipe (A).Finally, the potential energy can be calculated using ρgz, where ρ is the density of air, g is the gravitational acceleration, and z is the elevation difference between the two points.By substituting all of the values into the Bernoulli equation, the flow rate of cement (m) can be determined.