Numerical calculation of space charge and electric potential in nonstationary electrohydrodynamical flows of incompressible polymer fluid

The aim of the paper is to obtain numerical formulae and calculate the space charge and electric potential in nonstationary EHD flows of the Poiseuille type incompressible polymer fluid. The paper is based on a variant of the Pokrovsky-Vinogradov rheological model. This model describes the fluid flow in a flat channel. The equations in the model are non-linear, and the explicit form of solution hardly can be found. Thus, finding a numerical solution to this problem becomes an actual reality. To find two components, namely, the space charge and the electric potential, the authors proposes two grid schemes and then obtains numerical solutions for different values of the problem parameters.