In this work, we have developed a novel problem addressing the time-dependent, axisymmetric, incompressible, multi-shaped nanofluid flow over an unsteady nonlinear radial stretching surface. The influence of viscous dissipation, magnetohydrodynamics, mixed convection, and shape factors are also considered. The two most useful and wildly recognized industrial nanoparticles of Tantalum (Ta) and Nickel (Ni) are injected into the water \(({H}_{2}O)\) base fluid to prepare \(Ta-{H}_{2}O\) and \(Ni-{H}_{2}O\) nanofluids. The flow and heat regulating equations obtained from this study are converted into a system of \(ODEs\) using the proper similarity variables. The subsequent system of equations is then numerically tackled in \(MATLAB\) , utilizing a \(BVP4C\) solver. The graphical representations of the results reveal interesting elements in the presence of physically effective characteristics, including the unsteady parameter, magnetic parameter, Grashof number, volume fraction, nonlinearity parameter, and Eckert number. The streamlines are also presented to help envisage the flow patterns. Numerical results are validated through a grid independence test. The increasing values of volumetric fraction, nonlinear parameter, unsteady parameter, and magnetic parameter have a substantial impact on slowing down the \(Ta-{H}_{2}O\) and \(Ni-{H}_{2}O\) nanofluids flow. However, the fluid flow accelerates as the Grashof number grows. Moreover, the findings indicate that the needle-shaped nanoparticles \((Ni-H_{2}O)\) have the highest velocity, the lowest skin friction, and the greatest heat transfer efficiency. Due to these features, needle-shaped \((Ni-H_{2}O)\) nanofluid is the most reliable for application in radial modules.
