An approach to the mathematical modeling of hydrodynamic processes in a chaotic packed layer formed from a wire is considered. The equivalent nozzle is presented in the form of a single flat channel or a combination of cylindrical channels. The geometric dimensions of the channels are determined from the equality conditions of free volume fraction, the surface area of the interface, and the pressure-flow characteristics of the model channels and the dry packed layer. The countercurrent laminar motion of a liquid film and gas is considered. The film thickness is determined from the condition that the liquid and gas velocities are equal at the phase boundary. A solution is given for a linearized model of liquid and gas motion in equivalent channels, which is reduced to a system of three nonlinear equations.