Filter-cake law: ΔP = SE V + K2 V W, with face velocity V = Q / A (air-to-cloth ratio), fabric resistance SE, specific cake resistance K2 and cake areal load W (kg/m²). The cake grows as dW/dt = C V η, with inlet dust concentration C and collection efficiency η. Hence ΔP rises linearly in time (for constant V) until the pulse-jet cleaning trigger, which removes a fraction of the cake.
Collection efficiency rises with cake load: η = η0 + (ηmax − η0)(1 − e−W/Wc) because the dust layer is itself the filter. Fan power P = Q ΔP / ηfan.
Simplifications: uniform cake over all bags, constant gas properties, one dust type, perfect off-line cleaning fraction, no re-entrainment or fabric ageing. Resistances are illustrative values in the industrial range (1–2.5 kPa), not a design basis.