Table of Content

Open Access

ARTICLE

Numerical Study of Natural Convection in an Inclined Triangular Cavity for Different Thermal Boundary Conditions: Application of the Lattice Boltzmann Method

Ahmed Mahmoudi1,2, Imen Mejri1, Mohamed Ammar Abbassi1, Ahmed Omri1
UR:Unité de Recherche Matériaux, Energie et Energies Renouvelables (MEER), Faculté des Sciences de Gafsa, B.P.19, Zarroug, Gafsa, 2112, Tunisie.
Corresponding Author. Email: ahmed.mahmoudi@yahoo.fr; Phone: 00216 97953081

Fluid Dynamics & Materials Processing 2013, 9(4), 353-388. https://doi.org/10.3970/fdmp.2013.009.353

Abstract

A double-population Lattice Boltzmann Method (LBM) is applied to solve the steady-state laminar natural convective heat-transfer problem in a triangular cavity filled with air (Pr = 0.71). Two different boundary conditions are implemented for the vertical and inclined boundaries: Case I) adiabatic vertical wall and inclined isothermal wall, Case II) isothermal vertical wall and adiabatic inclined wall. The bottom wall is assumed to be at a constant temperature (isothermal) for both cases. The buoyancy effect is modeled in the framework of the well-known Boussinesq approximation. The velocity and temperature fields are determined by a D2Q9 LBM and a D2Q4 LBM, respectively. Comparison with previously published work shows excellent agreement. Numerical results are obtained for a wide range of parameters: the Rayleigh number spanning the range(103-106) and the inclination angle varying in the intervals (0° to 120°) and (0° to 360°) for cases I and II, respectively. Flow and thermal fields are given in terms of streamlines and isotherms distributions. It is observed that inclination angle can be used as a relevant parameter to control heat transfer in right-angled triangular enclosures.

Keywords

Lattice Boltzmann Method, Natural convection, Heat transfer, Rightangled triangular enclosure

Cite This Article

Mahmoudi, A., Mejri, I., Abbassi, M. A., Omri, A. (2013). Numerical Study of Natural Convection in an Inclined Triangular Cavity for Different Thermal Boundary Conditions: Application of the Lattice Boltzmann Method. FDMP-Fluid Dynamics & Materials Processing, 9(4), 353–388.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1151

    View

  • 1030

    Download

  • 0

    Like

Share Link

WeChat scan