The paper is aimed at studying the transportation of dust grains in a moving shock/pressure wave generated by electrostatic discharge devices. The current work covers two major aspects of the study. Development of a reasonably accurate electrostatic discharge simulation and the study of transport properties of dust grains using the DSMC, particle method. These studies are conducted independently. Present study considers fractal geometry for dust grains rather than spherical geometry which has been in previous works. Extensive study of transport properties of these kind of structures at various flow conditions can generate useful data which can be used coarser in solvers like the electrostatic discharge solver under consideration to accurately model the transport and other effects on the dust grains.