Effect of Nanoparticles on the Hysteresis Loop in Mixed Convection within a Two-Sided Lid-Driven Inclined Cavity Filled with a Nanofluid

ABSTRACT

The present work deals with numerical modeling of mixed convection flow in a two-sided lid driven inclined square enclosure filled with water-Al₂O₃ nanofluid. The limiting cases of a cavity heated from below and cooled from above and the one differentially heated are recovered respectively for inclination angles 0° and 90°. The moving walls of the cavity are pulled in opposite directions with the same velocity and maintained at constant but different temperatures while the remaining walls are kept insulated. The numerical resolution of the studied problem is based on the lattice Boltzmann method. A parametric study is conducted and a set of graphical results is presented and discussed to illustrate the effects of the presence of nanoparticles and enclosure inclination angle on fluid flow and heat transfer characteristics. The governing parameters of this problem are the Richardson number (varied from 0.1 to 10⁶), the nanoparticles volume fraction (varied from 0 to 0.04) and the inclination angle (varied from 0° to 180°). The critical conditions leading to the transition from monocellular flow to multicellular flow and vice versa are determined. In the common ranges of Richardson number and inclination angle where both monocellular and tri-cellular patterns coexist, the heat transfer is seen to be strongly reduced by the latter.

Additional information

Notes on contributors

Youssef Dahani

Youssef Dahani is a Doctoral student at the physics department, Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakesh, Morocco. He obtained his Master degree in 2013 in energetics and environment at Cadi Ayyad University. His thesis work focuses on the numerical simulation of heat transfer and fluid flow in lid driven cavities using the Lattice-Boltzmann method.

Abdelkhalek Amahmid

Abdelkhalk Amahmid is a professor of physics at Cadi Ayyad University, Faculty of Sciences Semlalia, Marrakesh, Morocco. He received his doctorate degree from Cadi Ayyad University, Marrakesh, Morocco, in 1999. He has published about 60 research papers in international journals and more than 80 papers in conference proceedings. His research activities focus on convective heat transfer in fluid and porous media.

Mohammed Hasnaoui

Mohammed Hasnaoui is a professor at Cadi Ayyad University, Faculty of Sciences Semlalia, Marrakesh, Morocco. He received his doctorate degree from the University of Perpignan, France in 1982 and his PhD in mechanical engineering from Ecole Polytechnique of Montreal, Canada in 1991. He is the director of the Laboratory of Fluid Mechanincs and Energetics (LMFE), he is a member of the standing committee of JITh and responsible for the Doctoral Formation of Technical Sciences and Engineering. His research activities focus on convective heat transfer in fluid and porous media. He has co-authored more than 300 papers in archival journals and international conferences.

Abdelfattah El Mansouri

Abdelfattah El Mansouri received the Bachelor and Master degrees from Cadi Ayyad University, Marrakesh, Morocco, in 2011, and 2013, respectively. He is currently a Ph.D. student in the frame of a joint thesis between Cadi Ayyad University and Paris-Saclay University, France. His main areas of research interest are computational fluid dynamics, heat transfer, and renewable energy.

Mouhcine Alouah

Mouhcine Alouah is a Doctoral student at the physics department, Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakesh, Morocco. He obtained his Master degree in 2013 in energetics and environment at Cadi Ayyad University. His thesis work focuses on the numerical simulation of heat transfer and fluid flows in non-Newtonian fluids, by using the Lattice-Boltzmann method.

Safae Hasnaoui

Safae Hasnaoui is a cotutelle Ph.D. student enrolled in the frame of a joint thesis between Cadi Ayyad University, Marrakesh (Morocco) and Picardie Jules Verne University, Amiens (France). She received her Master degree in 2013 in Energetics and Environment at Cadi Ayyad University. Her thesis work focuses on heat and mass transfer in the presence of Soret and Dufour effects using LBM.

Khaoula Rehhali

Khaoula Rehhali is a Ph.D. student registered in cotutelle doctoral program between Cadi Ayyad University, Marrakesh, Morocco and Picardie Jules Verne University, Amiens, France. She received her Master degree in 2013 in Energetic and Environment from the Faculty of Sciences Semlalia in Marrakesh. Her research thesis is centered on radiative and convective heat transfer and computational fluid dynamics.

Mustapha Ouahas

Mustapha Ouahas is a Doctoral student at the physics department, Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakesh, Morocco. He obtained his Master degree in 2013 in Energetics and Environment at Cadi Ayyad University. His thesis work focuses on the numerical simulation of heat transfer and fluid flows in open cavities, by using the Lattice-Boltzmann method.