In the hose-type air-to-air refueling of Unmanned Aerial Vehicles ( UAVs), the bow wave of the receiver-aircraft has an important impact on the docking phase in the air. To meet the urgent requirements of bow-wave modeling, the velocity field data around the nose of the receiver-aircraft is obtained through Computational Fluid Dynamics ( CFD) simulation, based on which the change laws of velocity w让h the coordinated point are analyzed ? Based on the polynomial function, the regularities of distribution of the velocity along the %, y and z axis are fitted by using the least square method, the two-dimension analytical expression of the velocity on the intersecting surface is speculated according to the laws above, and the two- dimension fitting is done by using the polynomial. Then, the analytical expressions of the velocity and the three -dimensional position coordinates are solved by using the plane interpolation, which meets the precision requirements. Finally, the interpolating along the %, y and z axis are conducted respectively, and an area is selected for validation. The simulation results prove the effectiveness of this model, and show that the error is the minimum when interpolating along y axis.