Thermophysical properties of Maxwell Nanofluids via fractional derivatives with regular kernel

Abstract

The researchers have diverted their mind to improve the thermophysical properties of convective heat transfer analysis. The studies on nanofluids have been reported because these systems display an anomalous enhancement of convective heat transfer. In this paper, we made a comparative analysis of Maxwell nanofluid with nanoparticles suspended in ethylene glycol through modern approaches of fractional differentiations. The governing equations of Maxwell nanofluid for velocity and temperature are fractionalized in terms of Atangana–Baleanu and Caputo–Fabrizio operators and then solved analytically by invoking Laplace transform to generate series solutions. The general solutions of temperature and velocity field are established in terms of Mittag–Leffler and Fox-H functions, respectively. Modern approaches of fractional differentiations have been analyzed for memory effects on the Maxwell nanofluid for improving the thermophysical properties. The impacts of rheological parameters are underlined for the volume fraction of nanoparticles, relaxation time and single- and multi-walled carbon nanotubes suspended in ethylene glycol. A graphical illustration is depicted to disclose the physical aspects of the problem based on the functionality of modern approaches of fractional differentiations. Our results suggest that thermal conductivity of Maxwell nanofluid increases when nanoparticle’s volume fraction increases.