An analytic and mathematical synchronization of micropolar nanofluid by Caputo-Fabrizio approach

Abstract

Nanofluids and enhancement of the heat transfer in real systems have proved to be a widely a research area of nanotechnology, specially, improvement in thermal conductivity, thermophoresis phenomenon, dispersion of nanoparticles volume fraction and few others. Based on the touch of nanotechnology, this research article investigates 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. Two kinds of nanoparticles (copper and silver) are suspended in ethylene glycol. The governing partial differential equations 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 by employing integral transforms (Laplace transform) and expressed in terms generalized Fox-H function. The general solutions and their limiting cases rectify the initial and boundary conditions. Finally, the impacts of nanoparticles, Caputo-Fabrizio fractional operator, dimensionless numbers, material parameters and rheological parameters have been underlined by graphical illustrations on flow.