Impact of Joule heating and melting on time-dependent flow of nanoparticles due to an oscillatory stretchable curved wall

Abstract The present article concerns the analysis of the heat transport mechanism in the hydromagnetic flow of nanoparticles on an oscillating curved stretching surface. The features of heat transfer are examined by considering the Joule heating effects along with melting heat transfer. Furthermore, the impacts of heat generation are additionally incorporated within the energy equation. The mathematical formulation undertaking the aforesaid flow scheme is established in the form of partial differential equations by employing curvilinear coordinate systems. The series solution of the formulated flow equations is obtained by utilizing a proficient analytical approach entitled as Homotopy analysis method (HAM). A parametric analysis is carried out for the various involved flow parameters such as dimensionless radius of curvature, the proportion of the oscillation frequency of the surface to its stretching rate parameter, nanoparticles, magnetic and heat generation parameter, Prandtl and Eckert number, on the flow, temperature, and pressure fields are displayed through graphs. Also, a comparison between the achieved results with the reported data in the literature for the flat oscillating surface is found in good agreement.