Heat Transfer on Fractionalized Micropolar Nanofluid over Oscillating Plate via Caputo-Fabrizio Fractional Operator

Abstract

Nanofluids and enhancement of the heat transfer in real systems have proved to be a widely a research areaof nanotechnology, specially, improvement in thermal conductivity, thermophoresis phenomenon, dispersionof nanoparticles volume fraction and few others. Based on the touch of nanotechnology, this research articleinvestigates heat transfer of an unsteady flow of micropolar nanofluids on an infinite oscillating plate.Ethylene glycol is considered as a conventional base fluid as well as copper and silver are nanoparticles. Twokinds of nanoparticles (copper and silver) are suspended in ethylene glycol. The governing partial differentialequations are fractionalized in terms Caputo-Fabrizio fractional derivative and solved by analytical approach.The general solutions have been established for temperature distribution, microrotation and velocity field byemploying integral transforms (Laplace transform) and expressed in terms generalized Fox-H function. Thegeneral solutions and their limiting cases rectify the initial and boundary conditions. Finally, the impacts ofnanoparticles, Caputo-Fabrizio fractional operator, dimensionless numbers, material parameters andrheological parameters have been underlined by graphical illustrations on flow.