Three-dimensional unsteady flow of second-grade magnetic nanofluid with KKL correlation model

Abstract

The flow of viscoelastic fluid owing to stretching surfaces (SSs) has become well-known among the demanding study fields of fluid mechanics due to its numerous practical applications. As a result, the major goal of this work is to scrutinize the three-dimensional (3D) unsteady flow of second-grade nanofluid. A magnetic field influences the fluid when an indefinitely long, straight wire delivers an electric current. Thermal radiation is taken into consideration while studying heat transmission characteristics. The effective thermal conductivity of nanofluid flow is scrutinized by adopting Koo–Kleinstreuer–Li (KKL) nanofluid model. Through suitable transformations, relevant flow expressions are converted to ordinary differential equations (ODEs). The numerical approach Runge–Kutta–fourth–fifth Fehlberg’s order method (RKF-45) with shooting technique is used to solve the generated ODEs. Further, it was noted that the CPU time to estimate the solutions of flow fields was less than (2.23 s). The outcome reveals that the rise in values of the time-dependent parameter positively impacts both velocity and thermal profiles. The improved heat transport is seen for augmented values of radiation and ferromagnetic interaction parameters.