The case of yawed endless wing and the issue of cross flow inside the boundary layer have achieved many objectives. This article is modelled to consider the Al2O3–Cu/H2O nanomaterial performance in a streamwise and crosswise direction. Thermal performance is inspected by combining viscous dissipation terms. The prominent governing system of partial expressions is changed to a system of ordinary expressions via similarity alteration. The reduced nonlinear form ODEs are solved numerically with the help of the RKF procedure. The physical parameters on streamwise and cross flow velocities, temperature field, Nusselt number and friction drag are examined through diagrams. Further, the special shape factor of nanoparticles is analysed and it is seen that the Nusselt number values of Platelet shape are more noticeable than cylinder shape, and that the cylinder shape is more conspicuous than brick shape.