AbstractThe primary objective of the study is to examine the influence of the nonlinear thermal radiation on the flow of the hydromagnetic hybrid nanoliquid across an oscillating stretched curved surface. In addition, the impacts of velocity and thermal slip conditions are also considered. Curvilinear coordinate scheme is adopted to construct the mathematical form of the flow model in terms of nonlinear partial differential equations. Analytical solution of the formulated flow equations in the form of convergent series solution is accomplished by employing the Homotopy analysis technique (HAM). A comprehensive inspection of the consequences of different flow parameters, such as the hybrid nanoparticles parameter, magnetic parameter, non‐dimensional velocity slip parameter, dimensionless radius of curvature, dimensionless thermal slip parameter, Prandtl number, dimensionless temperature parameter on the flow, pressure, surface drag force, temperature and on the local Nusselt number is conducted out through graphs and tables and discussed in detail. It is noticed that the amplitude of the liquid velocity is a reducing function of the solid volume fraction parameter for copper and the velocity slip parameter, whereas it is enhanced with increasing solid volume fraction parameter for alumina.