The pressure drop DeltaP for airflow through a filter depend

The pressure drop, Delta_P, for airflow through a filter depends upon the volume flow rate, Q, density, p, filter thickness, H, and porosity, sigma (the percent volume of filter material which is not occupied by filter fibers). The following are pressure-drop data in an air flow at 20 degree C and 1 atm through a filter 3 cm thick with 45% porosity: Use these data to determine the pressure drop across the same filter material if the thickness is increased to 6 cm and the flow rate is 750 ft^3 min.

Solution

Given DelP 0.31 248.84 77.1404 Pa Vol. Flow rate 200 0.000472 0.0943894 m3/s Porosity 0.45 Viscosity 0.00001827 Pa.s Thickness 0.03 m Area 1.49035E-09 m2 Thickness increased to 6cm Thickness 6.00E-02 m Vol. Flow rate 750 0.000472 0.35396025 m3/s DelP 578.553 Pa