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 with the coordinated point are analyzed.Based on the polynomial functionthe regularities of distribution of the velocity along the x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 x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.