This study investigates unsteady velocity \({U}_{w}=\xi x/t\) for a Williamson nanofluid film flowing over a moving surface. This work can be used to outline the effects of an applied angled magnetic-field on liquid film flow, which occurs in numerous real-world solicitations such as coating industries for wire or sheet, labs, painting, and several others. Analyzing williamson nanoliquid film flow over a stretching sheet is the main aim of this investigation. The leading Navier–Stokes models are reduced to third-order nonlinear ODE through similarity transformations that are then undertaken using the Hermite wavelet method (HWM). Both 2-dimensional and axisymmetric film flow circumstances have been analyzed. The moving surface parameter \(\xi\) is said to have a limited range for which the solution exists. Specifically, \(\xi \le -1/4\) for axisymmetric flow and \(\xi \ge -1/2\) for two-dimensional flow. Before decreasing to the boundary condition, the velocity climbs until it reaches its maximum. By taking into account the stretching ( \(\xi >0\) ) and shrinking ( \(\xi <0\) ) wall conditions, streamlines are also examined for axisymmetric and 2-dimensional flow patterns.
