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
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.
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. Fluid Dynamics & Materials Processing, 9(4), 353-388. https://doi.org/10.3970/fdmp.2013.009.353
Vancouver Style
Mahmoudi A, Mejri I, Abbassi MA, Omri A. Numerical study of natural convection in an inclined triangular cavity for different thermal boundary conditions: application of the lattice boltzmann method. Fluid Dyn Mater Proc. 2013;9(4):353-388 https://doi.org/10.3970/fdmp.2013.009.353
IEEE Style
A. Mahmoudi, I. Mejri, M.A. Abbassi, and A. Omri "Numerical Study of Natural Convection in an Inclined Triangular Cavity for Different Thermal Boundary Conditions: Application of the Lattice Boltzmann Method," Fluid Dyn. Mater. Proc., vol. 9, no. 4, pp. 353-388. 2013. https://doi.org/10.3970/fdmp.2013.009.353
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