Natural convection and flow patterns of Cu–water nanofluids in hexagonal cavity: A novel thermal case study

Author:

Akram Mohammad1,Benhanifia Kada2,Brahim Mebarki2,Rahmani Lakhdar2,Ansari Abu Zaid1,Eid Mohamed R.3,Hussain Syed M.1,Redouane Fares4,Jamshed Wasim56,Alraddadi Ibrahim1

Affiliation:

1. Department of Mathematics, Faculty of Science, Islamic University of Madinah , Madinah , 42351 , Saudi Arabia

2. Laboratory of Energy in Arid Region (ENERGARID), Faculty of Science and Technology, University of Tahri Mohammed Bechar , P.O. Box 417 , Bechar , 08000 , Algeria

3. Department of Mathematics, Faculty of Science, New Valley University , Al-Kharga , Al-Wadi Al-Gadid, 72511 Egypt

4. LGIDD, Department of Physics, Faculty of Science and Technology, Relizane University , Relizane , 48000 , Algeria

5. Department of Mathematics, Capital University of Science and Technology (CUST) , Islamabad , 44000 , Pakistan

6. Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University , Nasiriyah 64001 , Iraq

Abstract

Abstract The purpose of the current research is to inspect the free convection of the nanofluid (Cu–water) within a hexagonal cavity containing a square obstacle with isothermal vertical walls at T h {T}_{{\rm{h}}} and T c {T}_{{\rm{c}}} , and insulated horizontal walls. The aim of this study is to analyze the interaction between the Rayleigh number ( 10 3 < Ra < 10 5 {10}^{3}\lt {\rm{Ra}}\lt {10}^{5} ), obstacle’s position (top, bottom, and center), and volume fraction of the nanoparticles ( 0 < Ø < 0.2 0\lt \O \lt 0.2 ) on the thermal behavior within the enclosure. Simulations were performed using COMSOL Multiphysics software based on the finite element method. The obtained results were demonstrated using streamlines, isotherms, and average Nusselt numbers. It is concluded that the increase in the Rayleigh quantity Ra {\rm{Ra}} and nanoparticle concentration Ø \O increases the average Nusselt N u av {\rm{N}}{{\rm{u}}}_{{\rm{av}}} , which expresses the rate of heat flow in the studied enclosure. Furthermore, the position of the inner obstacle in the middle of the cavity has a more significant thermal efficiency than the other cases.

Publisher

Walter de Gruyter GmbH

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