Heat transfer analysis of generalized Jeffery nanofluid in a rotating frame: Atangana–Balaenu and Caputo–Fabrizio fractional models

Abstract

Abstract Time fractional comparative analysis has been examined for generalized Jeffrey nanofluid in a rotatory system under consideration of porous medium and transverse magnetic field of strength B0. The classical model of the governing equations which governs the fluid flow is transformed into two different time fractional models i.e. Caputo–Fabrizio and Atangana–Baleanu. The nanofluid has been formed by uniform dispersing of nano-size solid particles of silver in engine oil which is assumed as base fluid. To get the closed form solution for temperature and velocity distributions, the mathematical tool that is the Laplace transform technique (LTT) has been applied on both CF and AB time fractional model. The impact of corresponding parameters on fluid flow and temperature distribution, plots are drawn and illustrated graphically. The solutions of CF and AB time fractional model are discussed classically by taking fractional parameter α → 1. Moreover, for validation of the present work, present solutions has been reduced to well- known published work. Variation in Nusselt number and skin friction due to relative parameters is computed numerically and shown in tabular form. It is worth noted that the rate of heat transfer of engine oil enhances by 12.37% when the values of volume fraction of silver nanoparticles vary from 0.00 to 0.04, which will ultimately improve the lubricant properties.