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A filtration component consists of a rectangular channel having dimensions H = 10 cm, W = 50 cm, and L = 100 cm, containing carbon pellets of diameter 5 mm, is modelled using the Ergun equation. Develop the pressure drop versus mass flowrate (for ?̇ in the range of 1 – 50 kg/s) characteristic for the following porosities (due to packing arrangement): ? = 0.5, 0.7, and 0.9. The fluid properties may be taken to be ρ = 1000 kg/m3 , μ = 1.0 × 10-3 Pa⸱s. What is the pressure drop when ?̇ = 50 kg/s? Is it better to operate three filters in series or in parallel? Why?
using ergun equation and given dimensions and data we can find the required plot and pressure drop at 50kg/s
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