In the last two decades, the atmospheric pressure plasma jet has gained much attention, due to its low production cost and the wide range of applications such as plasma medicine, local surface modification, local sterilization etc. The plasma jet device has been extensively studied and significant understanding has been gained through analytical/simulation models and experiments. However, deep understanding of the detailed mechanisms of plasma jet evolution and its interaction with material surfaces needs further research. A two dimensional axisymmetric plasma fluid model was used, in order to study the evolution and interaction of a capillary helium plasma jet with a dielectric surface (glass, εr=8). The results of the simulation have been verified with experimental results.