Calculating Water Treatment Vessel Size for Condominiums

[mathsTKK]

Recently, my boss asked me about the calculation or formula to calculate the size of water filter vessel ( bullet shape ) which is suitable for a condominium. I fail to find any formula from the Internet, so can someone help me to find the formula? Much appreciation.

From one of the wastewater vessel supplier, I got a formula which I do not understand. The formula is as below:

Water consumption rate/Effective filtration Area = 50L/min/ft^2 where the diameter is found from Area=(pi)r^2

I notice that the term 50L/m/ft^2 is actually the linear velocity as the term can be expressed as

50 V/t/A where V=Volume , t=Time and A=Area
as V/A = distance and distance/time= velocity, thus i think the term is actually linear velocity but I am not sure whether my assumption is correct. Can someone help me on that? Thank you^^

Another matter, how is this formula derived? and i still can't understand why 50? how is this number found?

What are the other information that are required to calculate the suitable diameter of the vessel? Flow rate? or other?

I hope someone can help me on this^^ Thank you for your kind assistance. Much appreciation to you all :) Thank you once again!

 

[anorlunda]

You don't measure pressure, or pressure drop across the filter.

If you force the same flow through a more narrow filter area, the pressure drop must increase. If the pressure drops too much, you need a bigger pump, or consumers may have too little pressure.

So I expect that you are missing something in your analysis. What are the pressure constraints before the filter and after the filter?