Mathematical Modeling of Fuel Flow in Channels Cone Spray

The method of numerical flow simulation in diesel engine spray devices channels is reviewed in the article. The efficiency of conformal mappings use for converting the flow domain to a parametric rectangle with orthogonal grid is declared and illustrated. In this method, the reduced boundary value problem for Navier-Stokes equations for velocity and pressure fields is solved in this rectangle. The numerical conformal mapping, based on Finite Element Method (FEM) is described. Boundary value problems of Laplace equations for real and imaginary component of mapping function are solved by FEM algorithm. The proposed simulation and qualitative estimation method for various configurations of the flow channel of the spray head is analyzed in the article. The influence of the angle of deflection from the axis channel sprayer nozzle on the flow velocity in the channel is described. The capacities of a software package for numerical conformal mapping are presented.