Study of Laminar Naturel Convection in Partially Porous Cavity in the Presence of Nanofluids

Authors

  • Mohammed Douha Higher Normal School of Bechar, Bechar 08000, Algeria
  • Draoui Belkacem Laboratory of Energetic in Arid Zones (ENERGARID), University Tahri Mohamed of Bechar, P.O. Box 417, Bechar 08000, Algeria
  • Kaid Noureddine University Centre Salhi Ahmed of Naama, Institute of Science and Technology, P.O. Box 66, Naama 45000, Algeria
  • Ameur Houari University Centre Salhi Ahmed of Naama, Institute of Science and Technology, P.O. Box 66, Naama 45000, Algeria
  • Belkacem Abdellah Laboratory of Energetic in Arid Zones (ENERGARID), University Tahri Mohamed of Bechar, P.O. Box 417, Bechar 08000, Algeria
  • Mohamed Elmir Laboratory of Energetic in Arid Zones (ENERGARID), University Tahri Mohamed of Bechar, P.O. Box 417, Bechar 08000, Algeria
  • Merabti Abdelhak Higher Normal School of Bechar, Bechar 08000, Algeria
  • Aissani Houcine Higher Normal School of Bechar, Bechar 08000, Algeria

DOI:

https://doi.org/10.37934/arfmts.79.1.91110

Keywords:

Laminar flow, Natural convection, Composite cavity, Porous layer, Nanofluids, Finite element method

Abstract

The objective of this work is the mathematical modelling and the numerical simulation of the stationary, laminar, and natural convection, in a confined square cavity (H = L) filled with two fluids (a mixture of nanoparticles of aluminum oxide and Al2O3 water) in one partition and pure water in the other partition. A porous conductive wall of thickness w (w = L/e) and thermal conductivity Keff constitutes the exchange surface between these two partitions. The fluid movement is modeled by the Navier-Stokes equations in the two partitions, while the porous medium is modelled by the Darcy–Brinkman equation. Comsol Multiphysics software is used to solve the system of differential equations that is based on the finite element method. The results are discussed with particular attention to the mean and local Nusselt number (Nu), streamlines and isotherms. A parametric study for Rayleigh number Ra (102 to 106), volume fraction j (0% to 10%), and Darcy number Da (10-7 to 10-2) is performed. The obtained findings show that the increase in Ra, Da, and j intensifies the flow and improves the thermal exchange on the cold wall. For Da £ 10-5, Nu remains practically low and the natural convection is being dominated by conduction. For Da > 10-5, an increase in Nu is observed and the flows tend towards a purely convective situation. Furthermore, an increase in the heat transfer coefficients is observed with the raise of the porous layer permeability, volume fraction and Rayleigh number.

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Published

2020-12-29

How to Cite

Douha, M., Belkacem, D., Noureddine, K., Houari, . A., Abdellah, B., Elmir, M., Abdelhak, M., & Houcine, A. (2020). Study of Laminar Naturel Convection in Partially Porous Cavity in the Presence of Nanofluids . Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 79(1), 91–110. https://doi.org/10.37934/arfmts.79.1.91110

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Articles