Heat transfer, thin-film flow, and shape factor effects for nickel and tantalum nanoparticles on radial stretching sheet

The present study aims to investigate the impact of heat transfer, thin-film flow, and shape factor on the radial stretching sheet of nickel and tantalum nanoparticles. The key concepts motivating this research are the numerous uses of thin-film flow, nickel, and tantalum nanoparticles. The generation of a nonlinear system of ordinary differential equations (ODEs) was accomplished through the application of a specific transformation. To solve these nonlinear ODEs, the productive convergent method known as BVP4C was employed. The impact of the fundamental physical parameters on variables such as temperature, velocity, film thickness, heat transfer, and skin friction coefficient is visually represented through graphs and tables. The cylindrical shape of tantalum (Ta) has the maximum film thickness, while the blade shape of nickel (Ni) has the minimum. The skin friction coefficient was highest for the cylindrical shape of nickel and lowest for the blade shape of tantalum. Increasing values of \(\phi \) $\varphi$ (0.01–0.03) cause a decrease in velocity and film thickness parameter \((\beta )\) $(\beta )$ for both nanoparticles. The velocity and temperature of the boundary layer are decreasing functions for \(S\) $S$ for both nanoparticles. Based on the influence of different physical properties, we observed that the heat transfer rates were highest for cylindrical tantalum nanoparticles and slowest for blade-shaped nickel nanoparticles.