Abstract
The paper deals with a problem of deriving reliable and convenient models for the viscous suspension films of variable rate flows. The contribution and novelty of this work lies in the fact that a general concept is presented for the mathematical model of the formation of nonlinear waves in the film flows containing a dispersed solid phase, an asymptotic analysis is given, and a set of the main control parameters has been established. Unlike the previous works, this paper focuses specifically on clearly identifying the control parameters and deriving the general control equation. The decisive role of the special control parameter depending on the viscosity of the suspension near the support wall has been established. The work is theoretical in nature, but the developed model can be adapted for calculations of specific technological processes, since it contains the main physical characteristics of suspensions and the necessary parameters for calculation.