The differential pressure of a sintered wire mesh filter can be calculated using the following formula:
ΔP = (K × μ × L × Q^2) / (d^4 × ρ)
- ΔP = Differential pressure in Pascal (Pa)
- K = Resistance coefficient of the filter
- μ = Dynamic viscosity of the fluid in Pascal-second (Pa·s)
- L = Length of the filter in meters (m)
- Q = Volume flow rate of the fluid in cubic meters per second (m^3/s)
- d = Diameter of the wire in meters (m)
- ρ = Density of the fluid in kilograms per cubic meter (kg/m^3)
Note: The resistance coefficient (K) can be obtained from the manufacturer’s data sheet or by conducting a pressure drop test using a reference fluid. The dynamic viscosity (μ) and density (ρ) of the fluid can be obtained from the fluid properties table or by conducting a viscosity and density test. The length (L), volume flow rate (Q), and diameter (d) of the filter can be measured experimentally.