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

Nano uids and the enhancement of heat transfer in real systems have proved to be a widely researched area of nanotechnology; other areas of particular interest to researchers include the improvement of thermal conductivity, thermophoresis phenomenon, dispersion of nanoparticles volume fraction, and few others. Based on the touch of nanotechnology, this study investigates the analytic and mathematical performance of micropolar nano uid in the enhancement of heat transfer. The base uid is taken for the purpose of thermal conductivity subject to two types of nanoparticles: copper and silver. The mathematical analysis of the micropolar nano uid was carried out by invoking the non-integer order derivative and transform methods. By applying a mathematical tool to the equations of micropolar nano uid, the solutions were explored for temperature, microrotation, and velocity. In order to meet the physical aspects of the problem based on micropolar nano uid, the comparison of velocity eld of micropolar nano uid for the suspension of ethylene glycol into silver and that of ethylene glycol into copper is made to enhance the rate of heat transfer.