Can someone help calculate pressure drop ?

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SUMMARY

This discussion focuses on calculating pressure drop and flow rate across a cylinder packed with uniform spheres, specifically 10mm in diameter, using the Ergun equation. The fluid in question is air, with a required flow rate of 500 CFM and inlet pressures ranging from 4 to 12 inches water column. The cylinder dimensions are 12 inches in diameter and 12 inches in height. Key challenges include understanding bed voidage, which is approximately 0.26, and determining the friction factor, which is not explicitly included in the Ergun equation.

PREREQUISITES
  • Understanding of the Ergun equation for pressure drop calculations
  • Knowledge of fluid dynamics principles, specifically flow through packed beds
  • Familiarity with concepts of bed voidage and friction factor
  • Basic skills in interpreting fluid flow data and calculations
NEXT STEPS
  • Study the Ergun equation in detail to understand its application in packed bed scenarios
  • Research methods for calculating friction factors in packed beds
  • Learn about bed voidage and its impact on flow rates in packed systems
  • Explore online calculators or tools for pressure drop and flow rate calculations in fluid dynamics
USEFUL FOR

This discussion is beneficial for engineers, product developers, and innovators working on fluid dynamics applications, particularly those involved in designing systems with packed beds and needing to calculate pressure drops and flow rates.

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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