Impact of Al2O3 in Electrically Conducting Mineral Oil-Based Maxwell Nanofluid: Application to the Petroleum Industry
Open Access
- 24 March 2022
- journal article
- research article
- Published by MDPI AG in Fractal and Fractional
- Vol. 6 (4), 180
- https://doi.org/10.3390/fractalfract6040180
Abstract
Alumina nanoparticles (Al2O3) are one of the essential metal oxides and have a wide range of applications and unique physio-chemical features. Most notably, alumina has been shown to have thermal properties such as high thermal conductivity and a convective heat transfer coefficient. Therefore, this study is conducted to integrate the adsorption of Al2O3 in mineral oil-based Maxwell fluid. The ambitious goal of this study is to intensify the mechanical and thermal properties of a Maxwell fluid under heat flux boundary conditions. The novelty of the research is increased by introducing fractional derivatives to the Maxwell model. There are various distinct types of fractional derivative definitions, with the Caputo fractional derivative being one of the most predominantly applied. Therefore, the fractoinal-order derivatives are evaluated using the fractional Caputo derivative, and the integer-order derivatives are evaluated using the Crank–Nicolson method. The obtained results are graphically displayed to demonstrate how all governing parameters, such as nanoparticle volume fraction, relaxation time, fractional derivative, magnetic field, thermal radiation, and viscous dissipation, have a significant impact on fluid flow and temperature distribution.Keywords
This publication has 34 references indexed in Scilit:
- Recent development in the synthesis of polymer nanocomposites based on nano-aluminaProgress in Polymer Science, 2015
- Experimental evaluation of thermal conductivity, viscosity and breakdown voltage AC of nanofluids of carbon nanotubes and diamond in transformer oilDiamond and Related Materials, 2015
- Interferometric study of heat transfer characteristics of Al 2 O 3 and SiO 2 -based dilute nanofluids under simultaneously developing flow regime in compact channelsInternational Journal of Heat and Mass Transfer, 2015
- Heat and Mass Transfer of Upper Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Horizontal Melting SurfaceApplied Mathematics, 2015
- Fractional calculus in viscoelasticity: An experimental studyCommunications in Nonlinear Science and Numerical Simulation, 2010
- Constitutive equation with fractional derivatives for the generalized UCM modelJournal of Non-Newtonian Fluid Mechanics, 2010
- Fifty years of non‐Newtonian fluid dynamicsAIChE Journal, 2004
- An Introduction to MagnetohydrodynamicsAmerican Journal of Physics, 2002
- Hierarchical models for viscoelasticity: dynamic behaviour in the linear rangeRheologica Acta, 1996
- Alteration of Thermal Conductivity and Viscosity of Liquid by Dispersing Ultra-Fine Particles. Dispersion of Al2O3, SiO2 and TiO2 Ultra-Fine Particles.Netsu Bussei, 1993