Conventional or Dead-End Filtration

The general theory of conventional filtration proposed by Suttle[118] is presented here. In conventional filtration, if the pressure is kept constant then the rate of flow progressively diminishes, whereas if the flowrate is kept constant then the pressure must be gradually increased. Because the particles forming the cake are small and the flow through the bed is slow, streamUne conditions are almost invariably obtained, and, at any instant, the flowrate of the filtrate may be represented by Darcy s law given below  

Schematic diagram of (a) conventional and (b) crossflow filtration operation 

CEike), jj, is the viscosity of filtrate, and R is the resistance of the porous bed. The resistance R consists of resistance of medium, Rm and resistance of caJse, Rc. 

The resistance of cake is a function of voidage, e, the specific axea of paxticle, S and the cake thickness, 1. 

For incompressible fluids the e and S axe constant resulting in the following equation 

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