Numerical analysis of mixed convective stagnation point flow of a nanofluid over a rotating sphere with thermal radiation and slip effects

Abstract

This study investigates numerically the flow of water and ethylene glycol-based nanofluids across a spinning sphere surface. The nanofluid flow at a stagnation point across a gyrating sphere is considered to be laminar, time-dependent, and incompressible. When examining the nanofluid flow, thermal radiation and thermal slip are taken into account. PDEs are used to formulate the problem, and similarity variables are used to convert them into ODEs. MATLAB software is utilized to evaluate the modified ODEs by a numerical method known as bvp4c. The acquired results display that higher values of acceleration factor enhanced the velocity profile along x-axis and declined the velocity profile along z-axis and temperature profiles. The accelerated values of mixed convection factor enhanced the velocity profile along x-axis while retarded velocity characteristics along z-axis and temperature profiles. The greater values of thermal radiation and thermal slip factors have reduced the temperature distribution. The greater velocity and temperature profiles are observed for water-based nanofluid flow when matched with ethylene glycol-based nanofluid flow. The ethylene glycol-based nanofluids flows have higher skin friction coefficients and rate of heat transference than those of water-based nanofluids flows. To validate the method used in this, a comparative analysis of current results with established work has carried out. An excellent promise among the present and published data-set is determined that authenticates current results.