Process of colmatage with transient boundary condition

Authors: A. Trzaska, K. Sobowska

The subject of this publication is a certain model of the process of colmatage in a porous medium with a closed circulation of suspension.

The process is investigated in which a liquid flowing out of the medium flows into the container filled with suspension.

It is mixed there with the rest of the liquid and forced back into the medium.

The investigations are carried out on the basis of the system of balance-transport (2) and kinetics (3} equations and on that of the balance of forced suspension (9). Initial-boundary conditions are accepted in the form (4), (5).

Function of time n(t) of forced suspension (13) have been obtained followed by the distribution of concentration of suspension N(x,t) (14) flowing through the medium, and the distribution of the medium porosity E[epsilon](x,t) (16).

Basing on the equation of motion (17) the distribution of pressure in the porous medium (19) has been determined.