Strongly Segregating System Case I

For a strongly segregated binary mixture of different size particles the diffusion of jetsam particles in the vertical plane can be ignored. This situation will pertain to a very dilute mixture where rj - 0 and from 

Equation (5.4), although the gradient does not go to zero, the inference is that Cj - 0. The differential equation for segregation thus becomes 

The required boundary conditions are given in Equation (5.17). It should be noted that Equation (5.18) is the same as that employed to describe segregation in chute flows. It can be solved analytically by the method of characteristics (Bridgwater, 1985 Savage, 1988). The characteristic solution would normally involve choosing a characteristic value, s, say, such that 

Recalling that the velocity profile for bulk flow in the active layer was given in the flow model by the parabolic equation, that is. 

This result can be substituted into Equation (5.19c), which, after integration, gives 

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