Pressure drop in 12-inch cylinder packed with 10mm spheres

[dilipbhanu]

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

 

[BvU]

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

Well, there's a nice Ergun equation in section 5. How come you are unable to calculate ? (In other words: which of these symbols causes you trouble ?)

 

[dilipbhanu]

Bed voidage and friction factor is confusing me

 

[BvU]

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