Can someone help calculate pressure drop ?

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Discussion Overview

The discussion revolves around calculating pressure drop and flow rate across a cylinder packed with uniform spheres, specifically focusing on the application of the Ergun equation in fluid dynamics. Participants are addressing the challenges faced in performing these calculations with air as the fluid.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • A participant seeks assistance in calculating the required inlet pressure for a specified flow rate of 500 CFM through a cylinder packed with 10mm diameter spheres.
  • Another participant references the Ergun equation as a potential solution and questions the original poster about the specific symbols causing confusion in the calculation process.
  • One participant expresses confusion regarding bed voidage and the friction factor in the context of the calculations.
  • A later reply provides a specific bed voidage value of around 0.26 for stacking spheres and notes that the friction factor is not included in the equation referenced.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the calculations, and multiple viewpoints regarding the application of the Ergun equation and the understanding of bed voidage and friction factors remain. The discussion is unresolved.

Contextual Notes

Participants have not clarified the assumptions behind their calculations, and there may be dependencies on specific definitions of terms like bed voidage and friction factor that are not fully explored.

dilipbhanu
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I am a non technical innovator trying to develop a new product. Can someone help me calculate pressure drop and flowrate across a cylinder packed with uniform spheres of 10mm diameter.

I found this online but unable to calculate: https://neutrium.net/fluid_flow/pressure-drop-through-a-packed-bed/

Fluid: Air
Required flowrate: 500 CFM
Inlet Pressure: 4 to 12 inches water column
Outlet Pressure: Atmosphere
Cylinder size: 12 inch diameter
Cylinder height: 12 inches
Packed Spheres diameter: 10mm (attached is a reference of how the media is packed)

What should be the required inlet pressure to achieve a flow rate of 500 CFM ?
or
What will be the flow rate of inlet pressure is 4 inches water column ?

Earliest help/assistance appreciated. Thank you
 

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Bed voidage and friction factor is confusing me
 
Bed voidage is around 0.26 (stacking spheres ) and the friction factor is what comes out (you'll note that it does not occur in the equation in section 5) .
5.1 is just a matter of rewriting the same thing
 

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