Eur. Phys. J. Special Topics 228, 2619–2645 (2019)
https://doi.org/10.1140/epjst/e2019-900050-3

Regular Article

Entropy generation and nanofluid mixed convection in a C-shaped cavity with heat corner and inclined magnetic field

¹ Department of Mathematics, Assuit University, Faculty of Science, Assuit 71515, Egypt
² Department of Engineering, Mahdishahr Branch, Islamic Azad University, Mahdishahr, Iran
³ Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University (PMU), Al-Khobar 31952, Kingdom of Saudi Arabia
⁴ Department of Mathematics, Aswan University, Faculty of Science, Aswan 81528, Egypt

^a e-mail: armaghani.taher@yahoo.com

Received: 7 March 2019
Received in final form: 20 June 2019
Published online: 6 December 2019

Abstract

A numerical simulation of entropy generation due to MHD mixed convective of water-copper nanofluid in a C-shaped cavity with a heated corner is performed. The cavity is subjected to an inclined uniform magnetic field, and the top wall of the cavity is adiabatic and moves with a constant velocity. The governing equations are formulated by employing the single-phase nanofluid approach and the resulting equations have been solved by the Finite Volume Method (FVM). Impacts of the pertinent parameters on the fluid flow and heat transfer inside the cavity have been presented graphically. The numerical data have been plotted in the portrait of streamlines, isotherms and the average Nusselt numbers. The effects of volume fraction, Hartmann number, and the aspect ratio on the entropy generation and mixed convection of the C-shaped cavity are investigated. It is found that for an aspect ratio = 0.1, increasing the nanofluid volume fraction causes an increment in the heat transfer. At low volume fractions and Hartmann numbers, the outcomes manifest a better thermal performance. Generally, the rate of entropy generation increases by increasing both the Hartmann number and the volume fraction.