Eur. Phys. J. Plus (2021) 136: 429
https://doi.org/10.1140/epjp/s13360-021-01432-w

Regular Article

Natural convection of nanoliquid from elliptic cylinder in wavy enclosure under the effect of uniform magnetic field: numerical investigation

¹ Laboratoire de Physique Quantique de La Matière Et Modélisation Mathématique (LPQ3M), Université Mustapha Stambouli de Mascara, Mascara, Algeria
² Department of Physics, Faculty of Sciences, University of 20 Août 1955-Skikda, 2100, Skikda, Algeria
³ Mechanical Engineering Department, College of Engineering, Prince Mohammad Bin Fahd University, 31952, Al Khobar, Saudi Arabia

^d walkouz@pmu.edu.sa

Received: 18 October 2020
Accepted: 12 April 2021
Published online: 22 April 2021

Abstract

In the current article, a three-dimensional numerical simulation is conducted to scrutinize the steady laminar natural convective flow and transfer of heat between a cold wavy porous enclosure and a hot elliptic cylinder. Alumina nanoparticles are dispersed in the water to enhance the heat exchange process. The nanofluid flow is taken as laminar and incompressible, while the advection inertia effect in the porous layer is taken into account by adopting the Darcy–Forchheimer model. The problem is explained in the dimensionless form of the governing equations and solved by the finite element method. The influences of different governing parameters such as nanoparticles volume fraction (ϕ), angle of rotation (α), Darcy number (Da), Hartmann number (Ha), and Rayleigh number (Ra) on the fluid flow, temperature (T) filed and average Nusselt number are presented. The results exhibit that the heat transfer is enhanced when either of Ra, Da and ϕ is raised. The permeability increment achieved a 12.73% enhancement in the heat transfer rate. Also, when is altered from 0 to 100, a reduction in values of the Nusselt number is given up to 22.22%. Furthermore, the optimal inclination angle for the convective process is α = 45°.