analysis of ferrohydrodynamic interaction in unsteady nanofluid flow over a curved stretching sheet with melting heat peripheral conditions

Studying the impact of ferrohydrodynamic interaction on the flow of casson‑williamson nanofluid present a significant insight into complex fluid behaviour in several fields including aerospace engineering, energy systems, drug delivery, chemical engineering, and various industries. owing to its usage, current investigation deals with effect of magnetic dipole on the time‑based unsteady nanofluid flow of homogeneous and heterogeneous reaction driven by a curved stretching sheet with slip and melting heat boundary conditions. this research predicts the optimal ranges of parameters for achieving higher heat transport performance by studying the cattaneo-christov heat flux model and an exponential heat source. the governing equations are converted into dimensionless form by employing suitable similarity transformations. the galerkin-weighted residual technique is used to numerically solve the resulting non-dimensional equations with the assistance of the mathematica 11.3 software. the outcome indicates that the thermal buoyancy parameter significantly enhances fluid motion, while the thermal radiation parameter reduces the fluid temperature. this outcome greatly influences the prospective uses of ferrohydrodynamic interaction in enhancing heat and mass transport in nanofluid cooling systems.